谁有100道初一上的计算题带过程和答案 初一上数学计算题,带过程，带答案（100道，尽量多）
\u521d\u4e00\u4e0a\u5b66\u671f100\u9053\u8ba1\u7b97\u9898\uff08\u5e26\u8fc7\u7a0b\u3002\u5e26\u7b54\u6848\uff09\u53c2\u8003\u8d44\u6599\uff1ahttp://edu.jx163.com/edu2/test/attche/site327/20070124/00e04c793857072105990c.doc
75\u00f7\u3014138\u00f7\uff08100-54\uff09\u3015 85\u00d7(95\uff0d1440\u00f724)
80400\uff0d(4300\uff0b870\u00f715) 240\u00d778\u00f7\uff08154-115\uff09
1437\u00d727\uff0b27\u00d7563 \u301475-\uff0812+18\uff09\u3015\u00f715
2160\u00f7\u3014\uff0883-79\uff09\u00d718\u3015 280\uff0b840\u00f724\u00d75
325\u00f713\u00d7(266\uff0d250) 85\u00d7(95\uff0d1440\u00f724)
58870\u00f7(105\uff0b20\u00d72) 1437\u00d727\uff0b27\u00d7563
81432\u00f7(13\u00d752\uff0b78) [37.85-\uff087.85+6.4\uff09] \u00d730
156\u00d7[(17.7-7.2)\u00f73] \uff08947\uff0d599\uff09\uff0b76\u00d764
36\u00d7(913\uff0d276\u00f723) [192\uff0d\uff0854\uff0b38\uff09]\u00d767
[\uff087.1-5.6\uff09\u00d70.9-1.15]\u00f72.5 81432\u00f7(13\u00d752\uff0b78)
5.4\u00f7[2.6\u00d7\uff083.7-2.9\uff09+0.62] \uff08947\uff0d599\uff09\uff0b76\u00d764 60\uff0d(9.5\uff0b28.9)]\u00f70.18 2.881\u00f70.43\uff0d0.24\u00d73.5 20\u00d7[(2.44\uff0d1.8)\u00f70.4\uff0b0.15] 28-(3.4 1.25\u00d72.4) 0.8\u00d7\u301415.5-(3.21 5.79)\u3015 \uff0831.8 3.2\u00d74\uff09\u00f75 194\uff0d64.8\u00f71.8\u00d70.9 36.72\u00f74.25\u00d79.9 3.416\u00f7\uff080.016\u00d735\uff09 0.8\u00d7[(10\uff0d6.76)\u00f71.2]
\uff08136+64\uff09\u00d7\uff0865-345\u00f723\uff09 (6.8-6.8\u00d70.55)\u00f78.5
0.12\u00d7 4.8\u00f70.12\u00d74.8 \uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
812-700\u00f7\uff089+31\u00d711\uff09 \uff083.2\u00d71.5+2.5\uff09\u00f71.6
85+14\u00d7\uff0814+208\u00f726\uff09 120-36\u00d74\u00f718+35
\uff08284+16\uff09\u00d7\uff08512-8208\u00f718\uff09 9.72\u00d71.6-18.305\u00f77
4/7\u00f7[1/3\u00d7\uff083/5-3/10\uff09] \uff084/5+1/4\uff09\u00f77/3+7/10
12.78\uff0d0\u00f7\uff08 13.4\uff0b156.6 \uff09 37.812-700\u00f7\uff089+31\u00d711\uff09 \uff08136+64\uff09\u00d7\uff0865-345\u00f723\uff09 3.2\u00d7\uff081.5+2.5\uff09\u00f71.6
85+14\u00d7\uff0814+208\u00f726\uff09 \uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
(6.8-6.8\u00d70.55)\u00f78.5 \uff08284+16\uff09\u00d7\uff08512-8208\u00f718\uff09
0.12\u00d7 4.8\u00f70.12\u00d74.8 \uff083.2\u00d71.5+2.5\uff09\u00f71.6
120-36\u00d74\u00f718+35 10.15-10.75\u00d70.4-5.7
5.8\u00d7\uff083.87-0.13\uff09+4.2\u00d73.74 347+45\u00d72-4160\u00f752
32.52-\uff086+9.728\u00f73.2\uff09\u00d72.5 87\uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
[\uff087.1-5.6\uff09\u00d70.9-1.15] \u00f72.5 \uff083.2\u00d71.5+2.5\uff09\u00f71.6
5.4\u00f7[2.6\u00d7\uff083.7-2.9\uff09+0.62] 12\u00d76\u00f7\uff0812-7.2\uff09-6
3.2\u00d76+\uff081.5+2.5\uff09\u00f71.6 \uff083.2\u00d71.5+2.5\uff09\u00f71.6
5.8\u00d7\uff083.87-0.13\uff09+4.2\u00d73.74
33.02\uff0d\uff08148.4\uff0d90.85\uff09\u00f72.5
\u56de\u7b54\u8005\uff1a 754791551 - \u9b54\u6cd5\u5b66\u5f92 \u4e00\u7ea7 10-5 13:26
(\u4e00)\u8ba1\u7b97\u9898:
(1)23+(-73)
(2)(-84)+(-49)
(3)7+(-2.04)
(4)4.23+(-7.57)
(5)(-7/3)+(-7/6)
(6)9/4+(-3/2)
(7)3.75+(2.25)+5/4
(8)-3.75+(+5/4)+(-1.5)
(9)(-17/4)+(-10/3)+(+13/3)+(11/3)
(10)(-1.8)+(+0.2)+(-1.7)+(0.1)+(+1.8)+(+1.4)
(11)(+1.3)-(+17/7)
(12)(-2)-(+2/3)
(13)|(-7.2)-(-6.3)+(1.1)|
(14)|(-5/4)-(-3/4)|-|1-5/4-|-3/4|)
(15)(-2/199)*(-7/6-3/2+8/3)
(16)4a)*(-3b)*(5c)*1/6
\u8fd8\u670950\u9053\u9898\uff0c\u4e0d\u8fc7\u6ca1\u6709\u7b54\u6848
1. 3/7 \u00d7 49/9 - 4/3
2. 8/9 \u00d7 15/36 + 1/27
3. 12\u00d7 5/6 \u2013 2/9 \u00d73
4. 8\u00d7 5/4 + 1/4
5. 6\u00f7 3/8 \u2013 3/8 \u00f76
6. 4/7 \u00d7 5/9 + 3/7 \u00d7 5/9
7. 5/2 -\uff08 3/2 + 4/5 \uff09
8. 7/8 + \uff08 1/8 + 1/9 \uff09
9. 9 \u00d7 5/6 + 5/6
10. 3/4 \u00d7 8/9 - 1/3
0.12\u03c7\uff0b1.8\u00d70.9=7.2 (9\uff0d5\u03c7)\u00d70.3=1.02 6.4\u03c7-\u03c7=28+4.4
11. 7 \u00d7 5/49 + 3/14
12. 6 \u00d7\uff08 1/2 + 2/3 \uff09
13. 8 \u00d7 4/5 + 8 \u00d7 11/5
14. 31 \u00d7 5/6 \u2013 5/6
15. 9/7 - \uff08 2/7 \u2013 10/21 \uff09
16. 5/9 \u00d7 18 \u2013 14 \u00d7 2/7
17. 4/5 \u00d7 25/16 + 2/3 \u00d7 3/4
18. 14 \u00d7 8/7 \u2013 5/6 \u00d7 12/15
19. 17/32 \u2013 3/4 \u00d7 9/24
20. 3 \u00d7 2/9 + 1/3
21. 5/7 \u00d7 3/25 + 3/7
22. 3/14 \u00d7\u00d7 2/3 + 1/6
23. 1/5 \u00d7 2/3 + 5/6
24. 9/22 + 1/11 \u00f7 1/2
25. 5/3 \u00d7 11/5 + 4/3
26. 45 \u00d7 2/3 + 1/3 \u00d7 15
27. 7/19 + 12/19 \u00d7 5/6
28. 1/4 + 3/4 \u00f7 2/3
29. 8/7 \u00d7 21/16 + 1/2
30. 101 \u00d7 1/5 \u2013 1/5 \u00d7 21
31.50\uff0b160\u00f740 \uff0858+370\uff09\u00f7\uff0864-45\uff09
32.120-144\u00f718+35
33.347+45\u00d72-4160\u00f752
34\uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
35.95\u00f7\uff0864-45\uff09
36.178-145\u00f75\u00d76+42 420+580-64\u00d721\u00f728
37.812-700\u00f7\uff089+31\u00d711\uff09 \uff08136+64\uff09\u00d7\uff0865-345\u00f723\uff09
38.85+14\u00d7\uff0814+208\u00f726\uff09
39.\uff08284+16\uff09\u00d7\uff08512-8208\u00f718\uff09
40.120-36\u00d74\u00f718+35
41.\uff0858+37\uff09\u00f7\uff0864-9\u00d75\uff09
42.(6.8-6.8\u00d70.55)\u00f78.5
43.0.12\u00d7 4.8\u00f70.12\u00d74.8
44.\uff083.2\u00d71.5+2.5\uff09\u00f71.6 \uff082\uff093.2\u00d7\uff081.5+2.5\uff09\u00f71.6
45.6-1.6\u00f74= 5.38+7.85-5.37=
46.7.2\u00f70.8-1.2\u00d75= 6-1.19\u00d73-0.43=
47.6.5\u00d7\uff084.8-1.2\u00d74\uff09= 0.68\u00d71.9+0.32\u00d71.9
48.10.15-10.75\u00d70.4-5.7
49.5.8\u00d7\uff083.87-0.13\uff09+4.2\u00d73.74
50.32.52-\uff086+9.728\u00f73.2\uff09\u00d72.5
51.-5+58+13+90+78-(-56)+50
52.-7*2-57/(3
53.(-7)*2/(1/3)+79/(3+6/4\uff09
54.123+456+789+98/(-4)
55.369/33-(-54-31/15.5)
56.39+{3x[42/2x(3x8)]}
57.9x8x7/5x(4+6)
58.11x22/(4+12/2)
59.94+(-60)/10
1.
a^3-2b^3+ab(2a-b)
=a^3+2a^2b-2b^3-ab^2
=a^2(a+2b)-b^2(2b+a)
=(a+2b)(a^2-b^2)
=(a+2b)(a+b)(a-b)
2.
(x^2+y^2)^2-4y(x^2+y^2)+4y^2
=(x^2+y^2-2y)^2
3.
(x^2+2x)^2+3(x^2+2x)+x^2+2x+3
=(x^2+2x)^2+4(x^2+2x)+3
=(x^2+2x+3)(x^2+2x+1)
=(x^2+2x+3)(x+1)^2
4.
(a+1)(a+2)+(2a+1)(a-2)-12
=a^2+3a+2+2a^2-3a-2-12
=3a^2-12
=3(a+2)(a-2)
5.
x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2
=[x(y+z)-y(x-z)]^2
=(xz+yz)^2
=z^2(x+y)^2
6.
3(a+2)^2+28(a+2)-20
=[3(a+2)-2][(a+2)+10]
=(3a+4)(a+12)
7.
(a+b)^2-(b-c)^2+a^2-c^2
=(a+b)^2-c^2+a^2-(b-c)^2
=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)
=(a+b-c)(a+b+c+a-b+c)
=2(a+b-c)(a+c)
8.
x(x+1)(x^2+x-1)-2
=(x^2+x)(x^2+x-1)-2
=(x^2+x)^2-(x^2+x)-2
=(x^2+x-2)(x^2+x+1)
=(x+2)(x-1)(x^2+x+1)
(\u4e8c)\u586b\u7a7a\u9898:
(1)\u96f6\u51cf\u53bba\u7684\u76f8\u53cd\u6570,\u5176\u7ed3\u679c\u662f_____________; (2)\u82e5a-b>a,\u5219b\u662f_____________\u6570; (3)\u4ece-3.14\u4e2d\u51cf\u53bb-\u03c0,\u5176\u5dee\u5e94\u4e3a____________; (4)\u88ab\u51cf\u6570\u662f-12(4/5),\u5dee\u662f4.2,\u5219\u51cf\u6570\u5e94\u662f_____________; (5)\u82e5b-a<-,\u5219a,b\u7684\u5173\u7cfb\u662f___________,\u82e5a-b<0,\u5219a,b\u7684\u5173\u7cfb\u662f______________; (6)(+22/3)-( )=-7
(\u4e09)\u5224\u65ad\u9898:
(1)\u4e00\u4e2a\u6570\u51cf\u53bb\u4e00\u4e2a\u8d1f\u6570,\u5dee\u6bd4\u88ab\u51cf\u6570\u5c0f. (2)\u4e00\u4e2a\u6570\u51cf\u53bb\u4e00\u4e2a\u6b63\u6570,\u5dee\u6bd4\u88ab\u51cf\u6570\u5c0f. (3)0\u51cf\u53bb\u4efb\u4f55\u6570,\u6240\u5f97\u7684\u5dee\u603b\u7b49\u4e8e\u8fd9\u4e2a\u6570\u7684\u76f8\u53cd\u6570. (4)\u82e5X+(-Y)=Z,\u5219X=Y+Z (5)\u82e5a0
\u4e00)\u9009\u62e9\u9898:
(1)\u5df2\u77e5a,b\u662f\u4e24\u4e2a\u6709\u7406\u6570,\u5982\u679c\u5b83\u4eec\u7684\u5546a/b=0,\u90a3\u4e48( ) (A)a=0\u4e14b\u22600 (B)a=0 (C)a=0\u6216b=0 (D)a=0\u6216b\u22600 (2)\u4e0b\u5217\u7ed9\u5b9a\u56db\u7ec4\u65701\u548c1;-1\u548c-1;0\u548c0;-2/3\u548c-3/2,\u5176\u4e2d\u4e92\u4e3a\u5012\u6570\u7684\u662f( ) (A)\u53ea\u6709 (B)\u53ea\u6709 (C)\u53ea\u6709 (D)\u90fd\u662f (3)\u5982\u679ca/|b|(b\u22600)\u662f\u6b63\u6574\u6570,\u5219( ) (A)|b|\u662fa\u7684\u7ea6\u6570 (B)|b|\u662fa\u7684\u500d\u6570 (C)a\u4e0eb\u540c\u53f7 (D)a\u4e0eb\u5f02\u53f7 (4)\u5982\u679ca>b,\u90a3\u4e48\u4e00\u5b9a\u6709( ) (A)a+b>a (B)a-b>a (C)2a>ab (D)a/b>1
(\u4e8c)\u586b\u7a7a\u9898:
(1)\u5f53|a|/a=1\u65f6,a______________0;\u5f53|a|/a=-1\u65f6,a______________0;(\u586b>,0,\u5219a___________0; (11)\u82e5ab/c0,\u5219b___________0; (12)\u82e5a/b>0,b/c(-0.3)4>-106 (B)(-0.3)4>-106>(-0.2)3 (C)-106>(-0.2)3>(-0.3)4 (D)(-0.3)4>(-0.2)3>-106 (4)\u82e5a\u4e3a\u6709\u7406\u6570,\u4e14a2>a,\u5219a\u7684\u53d6\u503c\u8303\u56f4\u662f( ) (A)a1\u6216a<0 (5)\u4e0b\u9762\u7528\u79d1\u5b66\u8bb0\u6570\u6cd5\u8868\u793a106000,\u5176\u4e2d\u6b63\u786e\u7684\u662f( ) (A)1.06*105 (B)10.6*105 (C)1.06*106 (D)0.106*107 (6)\u5df2\u77e51.2363=1.888,\u5219123.63\u7b49\u4e8e( ) (A)1888 (B)18880 (C)188800 (D)1888000 (7)\u82e5a\u662f\u6709\u7406\u6570,\u4e0b\u5217\u5404\u5f0f\u603b\u80fd\u6210\u7acb\u7684\u662f( ) (A)(-a)4=a4 (B)(-a)3=A4 (C)-a4=(-a)4 (D)-a3=a3 (8)\u8ba1\u7b97:(-1)1-(-2)2-(-3)3-(-4)4\u6240\u5f97\u7ed3\u679c\u662f( ) (A)288 (B)-288 (C)-234 (D)280
(\u4e8c)\u586b\u7a7a\u9898:
(1)\u572823\u4e2d,3\u662f________,2\u662f_______,\u5e42\u662f________;\u82e5\u628a3\u770b\u4f5c\u5e42,\u5219\u5b83\u7684\u5e95\u6570\u662f________,
\u6307\u6570\u662f________; (2)\u6839\u636e\u5e42\u7684\u610f\u4e49:(-2)3\u8868\u793a________\u76f8\u4e58; (-3)2v\u8868\u793a________\u76f8\u4e58;-23\u8868\u793a________. (3)\u5e73\u65b9\u7b49\u4e8e36/49\u7684\u6709\u7406\u6570\u662f________;\u7acb\u65b9\u7b49\u4e8e-27/64\u7684\u6570\u662f________ (4)\u628a\u4e00\u4e2a\u5927\u4e8e10\u7684\u6b63\u6570\u8bb0\u6210a*10n(n\u4e3a\u6b63\u6574\u6570)\u7684\u5f62\u6210,a\u7684\u8303\u56f4\u662f________,\u8fd9\u91ccn\u6bd4\u539f\u6765\u7684\u6574
\u6570\u4f4d\u6570\u5c11_________,\u8fd9\u79cd\u8bb0\u6570\u6cd5\u79f0\u4e3a\u79d1\u5b66\u8bb0\u6570\u6cd5; (5)\u7528\u79d1\u5b66\u8bb0\u6570\u6cd5\u8bb0\u51fa\u4e0b\u9762\u5404\u6570:4000=___________;950000=________________;\u5730\u7403
\u7684\u8d28\u91cf\u7ea6\u4e3a49800...0\u514b(28\u4f4d),\u53ef\u8bb0\u4e3a________; (6)\u4e0b\u9762\u7528\u79d1\u5b66\u8bb0\u6570\u6cd5\u8bb0\u51fa\u7684\u6570,\u539f\u6765\u5404\u4e3a\u591a\u5c11 105=_____________;2*105=______________; 9.7*107=______________9.756*103=_____________ (7)\u4e0b\u5217\u5404\u6570\u5206\u522b\u662f\u51e0\u4f4d\u81ea\u7136\u6570 7*106\u662f______\u4f4d\u6570 1.1*109\u662f________\u4f4d\u6570; 3.78*107\u662f______\u4f4d\u6570 1010\u662f________\u4f4d\u6570; (8)\u82e5\u6709\u7406\u6570m 0,b0 (B)a-|b|>0 (C)a2+b3>0 (D)a0 (C)a,b\u4e92\u4e3a\u76f8\u53cd\u6570; (D)-ab (C)a
(5)\u7528\u56db\u820d\u4e94\u5165\u6cd5\u5f97\u5230\u7684\u8fd1\u4f3c\u65701.20\u6240\u8868\u793a\u7684\u51c6\u786e\u6570a\u7684\u8303\u56f4\u662f( )
(A)1.195\u2264a<1.205 (B)1.15\u2264a<1.18 (C)1.10\u2264a<1.30 (D)1.200\u2264a<1.205 (6)\u4e0b\u5217\u8bf4\u6cd5\u6b63\u786e\u7684\u662f( ) (A)\u8fd1\u4f3c\u65703.80\u7684\u7cbe\u786e\u5ea6\u4e0e\u8fd1\u4f3c\u657038\u7684\u7cbe\u786e\u5ea6\u76f8\u540c; (B)\u8fd1\u4f3c\u657038.0\u4e0e\u8fd1\u4f3c\u657038\u7684\u6709\u6548\u6570\u5b57\u4e2a\u6570\u4e00\u6837 (C)3.1416\u7cbe\u786e\u5230\u767e\u5206\u4f4d\u540e,\u6709\u4e09\u4e2a\u6709\u6548\u6570\u5b573,1,4; (D)\u628a123*102\u8bb0\u62101.23*104,\u5176\u6709\u6548\u6570\u5b57\u6709\u56db\u4e2a.
(\u4e8c)\u586b\u7a7a\u9898:
(1)\u5199\u51fa\u4e0b\u5217\u7531\u56db\u820d\u4e94\u5165\u5f97\u5230\u7684\u8fd1\u4f3c\u503c\u6570\u7684\u7cbe\u786e\u5ea6\u4e0e\u6709\u6548\u6570\u5b57: (1)\u8fd1\u4f3c\u657085\u7cbe\u786e\u5230________\u4f4d,\u6709\u6548\u6570\u5b57\u662f________; (2)\u8fd1\u4f3c\u65703\u4e07\u7cbe\u786e\u5230______\u4f4d,\u6709\u6548\u6570\u5b57\u662f________; (3)\u8fd1\u4f3c\u65705200\u5343\u7cbe\u786e\u5230________,\u6709\u6548\u6570\u5b57\u662f_________; (4)\u8fd1\u4f3c\u65700.20\u7cbe\u786e\u5230_________\u4f4d,\u6709\u6548\u6570\u5b57\u662f_____________. (2)\u8bbee=2.71828......,\u53d6\u8fd1\u4f3c\u65702.7\u662f\u7cbe\u786e\u5230__________\u4f4d,\u6709_______\u4e2a\u6709\u6548\u6570\u5b57;
\u53d6\u8fd1\u4f3c\u65702.7183\u662f\u7cbe\u786e\u5230_________\u4f4d,\u6709_______\u4e2a\u6709\u6548\u6570\u5b57. (3)\u7531\u56db\u820d\u4e94\u5165\u5f97\u5230\u03c0=3.1416,\u7cbe\u786e\u52300.001\u7684\u8fd1\u4f3c\u503c\u662f\u03c0=__________; (4)3.1416\u4fdd\u7559\u4e09\u4e2a\u6709\u6548\u6570\u5b57\u7684\u8fd1\u4f3c\u503c\u662f_____________;
(\u4e09)\u5224\u65ad\u9898:
(1)\u8fd1\u4f3c\u657025.0\u7cbe\u786e\u4ee5\u4e2a\u75ca,\u6709\u6548\u6570\u5b57\u662f2,5; (2)\u8fd1\u4f3c\u65704\u5343\u548c\u8fd1\u4f3c\u65704000\u7684\u7cbe\u786e\u7a0b\u5ea6\u4e00\u6837; (3)\u8fd1\u4f3c\u65704\u5343\u548c\u8fd1\u4f3c\u65704*10^3\u7684\u7cbe\u786e\u7a0b\u5ea6\u4e00\u6837; (4)9.949\u7cbe\u786e\u52300.01\u7684\u8fd1\u4f3c\u6570\u662f9.95.
\u7ec3\u4e60\u516b(B\u7ea7)
(\u4e00)\u7528\u56db\u820d\u4e94\u5165\u6cd5\u5bf9\u4e0b\u5217\u5404\u6570\u53d6\u8fd1\u4f3c\u503c(\u8981\u6c42\u4fdd\u7559\u4e09\u4e2a\u6709\u6548\u6570\u5b57): (1)37.27 (2)810.9 (3)0.0045078 (4)3.079
(\u4e8c)\u7528\u56db\u820d\u4e94\u5165\u6cd5\u5bf9\u4e0b\u5217\u5404\u6570\u53d6\u8fd1\u4f3c\u503c(\u8981\u6c42\u7cbe\u786e\u5230\u5343\u4f4d): (1)37890.6 (2)213612.4 (3)1906.57
9.
9x^2(x-1)^2-3(x^2-x)-56
=9x^2(x-1)^2-3x(x-1)-56
=[3x(x-1)-8][3x(x-1)+7]
=(3x^2-3x-8)(3x^2-3x+7
\u795d\u60a8\u5b66\u4e60\u8fdb\u6b65\uff01\u6211\u7684\u624b\u90fd\u9178\u4e86\u3002
\uff08\u521d\u4e00\u4e0a\u518c\uff09
\u4e00\u3001\u521d\u4e00\u8d28\u91cf\u76d1\u6d4b\uff1a
1\u3001\u52c7\u58eb\u6392\u7403\u961f\u56db\u573a\u6bd4\u8d5b\u7684\u6210\u7ee9\uff08\u4e94\u5c40\u4e09\u80dc\u5236\uff09\u662f1:3\uff0c3:2, 0:3, 3:1\uff0c\u603b\u7684\u51c0\u80dc\u5c40\u6570\u662f\u591a\u5c11\uff1fP6\u9875
\u89e3\uff1a1+3+3-\uff083+2+3+1\uff09
=7-9
=-2
\u7b54\uff1a\u603b\u7684\u51c0\u80dc\u5c40\u6570\u662f-2
2\u3001\u4e0b\u5217\u5404\u6570\u662f10\u540d\u5b66\u751f\u7684\u6570\u5b66\u8003\u8bd5\u6210\u7ee9\uff0c\u5148\u4f30\u7b97\u4ed6\u4eec\u7684\u5e73\u5747\u6210\u7ee9\uff0c\u7136\u540e\u5728\u6b64\u57fa\u7840\u4e0a\u8ba1\u7b97\u5e73\u5747\u6210\u7ee9\uff0c\u7531\u6b64\u68c0\u9a8c\u4f60\u7684\u4f30\u503c\u80fd\u529b\u3002P6\u9875
82, 83, 78, 66, 95, 75, 56, 93, 82, 81
\u6211\u4f30\u7b97\u4ed6\u4eec\u7684\u5e73\u5747\u6210\u7ee9\u4e3a80\u5206\u3002
\u89e3\uff1a\uff0882+83+78+66+95+75+56+93+82+81\uff09\u00f710
=791\u00f710
=79.1\uff08\u5206\uff09
\u7b54\uff1a\u4ed6\u4eec\u7684\u5e73\u5747\u6210\u7ee9\u4e3a79.1\u5206\u3002
3\u3001\u5f53\u6e29\u5ea6\u6bcf\u4e0a\u53471\u00b0C\u65f6\uff0c\u67d0\u79cd\u91d1\u5c5e\u4e1d\u4f38\u957f0.002mm\u3002\u53cd\u4e4b\uff0c\u5f53\u6e29\u5ea6\u6bcf\u4e0b\u964d 1\u00b0C\u65f6\uff0c\u91d1\u5c5e\u4e1d\u7f29\u77ed0.002mm\u3002\u628a15\u00b0C\u7684\u91d1\u5c5e\u4e1d\u52a0\u70ed\u523060\u00b0C\uff0c\u518d\u4f7f\u5b83\u51b7\u5374\u964d\u6e29\u52305\u00b0C\uff0c\u91d1\u5c5e\u4e1d\u7684\u957f\u5ea6\u7ecf\u5386\u4e86\u600e\u6837\u7684\u53d8\u5316\uff1f\u6700\u540e\u7684\u957f\u5ea6\u6bd4\u539f\u957f\u5ea6\u4f38\u957f\u591a\u5c11\uff1fP7\u9875
\u89e3\uff1a\u2474\u3001\uff0860-15\uff09\u00d70.002=0.09(mm)
\u2475\u30010.09-(60-5) \u00d70.002
=0.09-0. 11
=-0.02(mm)
\u7b54\uff1a\u6700\u540e\u7684\u957f\u5ea6\u6bd4\u539f\u957f\u5ea6\u4f38\u957f-0.02mm\u3002
4\u3001\u4e00\u5e74\u4e4b\u4e2d\u5730\u7403\u4e0e\u592a\u9633\u4e4b\u95f4\u7684\u8ddd\u79bb\u968f\u65f6\u95f4\u800c\u53d8\u5316\uff0c1\u4e2a\u5929\u6587\u5355\u4f4d\u662f\u5730\u7403\u4e0e\u592a\u9633\u4e4b\u95f4\u7684\u5e73\u5747\u8ddd\u79bb\uff0c\u53731.4960\u4ebf\u5343\u7c73\u3002\u8bd5\u7528\u79d1\u5b66\u8ba1\u6570\u6cd5\u8868\u793a1\u4e2a\u5929\u6587\u5355\u4f4d\u662f\u591a\u5c11\u5343\u7c73\uff08\u4fdd\u75594\u4e2a\u6709\u6548\u6570\u5b57\uff09\u3002P7\u9875
\u89e3\uff1a1.4960\uff08\u4ebf\u5343\u7c73\uff09\u4fdd\u75594\u4e2a\u6709\u6548\u6570\u5b57
\u22481.496\u00d7108\uff08\u5343\u7c73\uff09
\u2234\u4e00\u4e2a\u5929\u6587\u5355\u4f4d\u7ea6\u662f1.496\u00d7108\u5343\u7c73\u3002
\u4e0d\u7b49\u5f0f\u4e0e\u4e0d\u7b49\u5f0f\u7ec4\uff08\u5e94\u7528\u9898\uff09
5\u3001\u67d0\u5546\u5e97\u4ee5\u6bcf\u8f86250\u5143\u7684\u8fdb\u4ef7\u8d2d\u5165200\u8f86\u81ea\u884c\u8f66\uff0c\u5e76\u4ee5\u6bcf\u8f86275\u5143\u7684\u4ef7\u683c\u9500\u552e\u3002\u4e24\u4e2a\u6708\u540e\u81ea\u884c\u8f66\u7684\u9500\u552e\u6b3e\u5df2\u8d85\u8fc7\u8fd9\u6279\u81ea\u884c\u8f66\u7684\u8fdb\u8d27\u6b3e\uff0c\u8fd9\u65f6\u81f3\u5c11\u5df2\u552e\u51fa\u591a\u5c11\u8f86\u81ea\u884c\u8f66\uff1fP54\u9875
\u89e3\uff1a\u8bbe\u8fd9\u65f6\u81f3\u5c11\u5df2\u552e\u51faX\u8f86\u81ea\u884c\u8f66\u3002
275X\ufe65250\u00d7200
275X\ufe6550000
X\ufe65181.11......
\u2235 X\u4e3a\u6574\u6570
\u2234 X=182
\u7b54\uff1a\u8fd9\u65f6\u81f3\u5c11\u5df2\u552e\u51fa182\u8f86\u81ea\u884c\u8f66\u3002
6\u3001\u91c7\u77f3\u573a\u7206\u7834\u65f6\uff0c\u70b9\u71c3\u5bfc\u706b\u7ebf\u540e\u5de5\u4eba\u8981\u5728\u7206\u7834\u524d\u8f6c\u79fb\u5230400\u7c73\u5916\u7684\u5b89\u5168\u533a\u57df\u3002\u5bfc\u706b\u7ebf\u71c3\u70e7\u901f\u5ea6\u662f1\u5398\u7c73/\u79d2\uff0c\u5de5\u4eba\u8f6c\u79fb\u7684\u901f\u5ea6\u662f5\u7c73/\u79d2\uff0c\u5bfc\u706b\u7ebf\u81f3\u5c11\u9700\u8981\u591a\u957f\uff1f
\u89e3\uff1a\u8bbe\u5bfc\u706b\u7ebf\u81f3\u5c11\u9700\u8981X\u7c73\uff0c\u5f97
400\u00f75\u2264X/0.01
80\u2264X/0.01
X\u22650.8
\u7b54\uff1a\u5bfc\u706b\u7ebf\u81f3\u5c11\u9700\u89810.8\u7c73\u3002
7\u3001\u4e00\u8258\u8f6e\u8239\u4ece\u67d0\u6c5f\u4e0a\u6e38\u7684A\u5730\u5300\u901f\u9a76\u5230\u4e0b\u6e38\u7684B\u5730\u7528\u4e8610\u5c0f\u65f6\uff0c\u4eceB\u5730\u5300\u901f\u8fd4\u56deA\u5730\u7528\u4e86\u4e0d\u523012\u5c0f\u65f6\uff0c\u8fd9\u6bb5\u6c5f\u6c34\u6d41\u901f\u4e3a3\u5343\u7c73/\u65f6\uff0c\u8f6e\u8239\u5f80\u8fd4\u7684\u9759\u6c34\u901f\u5ea6V
\u4e0d\u53d8\uff0cV\u6ee1\u8db3\u4ec0\u4e48\u6761\u4ef6\uff1fP54\u9875
\u89e3\uff1a\u8bbe\u9759\u6c34\u901f\u5ea6\u4e3aV\uff0c\u5f97
\uff083+V\uff09\u00d710 \u00f7 \uff08V-3\uff09\ufe6510
\uff083+V\uff09\u00d710 \u00f7 \uff08V-3\uff09\ufe6412
\u89e3\uff1aV\ufe6533
\u7b54\uff1a\u9759\u901fV\ufe6533
\u25c68\u3001\u82f9\u679c\u7684\u8fdb\u4ef7\u662f\u6bcf\u5343\u514b1.5\u5143\uff0c\u9500\u552e\u4e2d\u4f30\u8ba1\u67095%\u7684\u82f9\u679c\u6b63\u5e38\u635f\u8017\u3002\u5546\u5bb6\u628a\u552e\u4ef7\u81f3\u5c11\u5b9a\u4e3a\u591a\u5c11\uff0c\u5c31\u80fd\u907f\u514d\u4e8f\u672c\uff1fP54\u9875
\u89e3\uff1a\u8bbe\u5546\u5bb6\u628a\u552e\u4ef7\u81f3\u5c11\u5b9a\u4e3aX\u5143\u3002
1.5\u2264\uff08100%-5%\uff09X
1.5\u22640.95X
X\u22651.5789
\u7b54\uff1a\u5546\u5bb6\u628a\u552e\u4ef7\u81f3\u5c11\u5b9a\u4e3a1.58\u5143\uff0c\u5c31\u80fd\u907f\u514d\u4e8f\u672c\u3002
\u25c69\u3001\u67d0\u5de5\u5382\u524d\u5e74\u6709\u5458\u5de5280\u4eba\uff0c\u53bb\u5e74\u7ecf\u8fc7\u7ed3\u6784\u6539\u9769\u51cf\u545840\u4eba\uff0c\u5168\u5382\u5e74\u5229\u6da6\u81f3\u5c11\u589e\u52a0100\u4e07\u5143\uff0c\u4eba\u5747\u521b\u5229\u81f3\u5c11\u589e\u52a06000\u5143\uff0c\u524d\u5e74\u5168\u5382\u5229\u6da6\u662f\u591a\u5c11\uff1f
\u89e3\uff1a\u8bbe\u524d\u5e74\u5168\u5382\u5229\u6da6\u4e3aX\u4e07\u5143\u3002P55\u9875
X\u00f7280+0.6\ufe64\uff08X+100\uff09\u00f7\uff08280-40\uff09
6X+1008\ufe647(X+100\uff09
-X\ufe64-1008+100
-X\ufe64-308
X\ufe65308
\u7b54\uff1a\u524d\u5e74\u5168\u5382\u5229\u6da6\u662f308\u4e07\u5143\u3002
\u25c610\u30012002\u5e74\u5317\u4eac\u7a7a\u6c14\u8d28\u91cf\u826f\u597d\uff08\u4e8c\u7ea7\u4ee5\u4e0a\uff09\u7684\u5929\u6570\u4e0e\u5168\u5e74\u5929\u6570\u4e4b\u6bd4\u8fbe\u523055%\uff0c\u5982\u679c\u52302008\u5e74\u8fd9\u6837\u7684\u6bd4\u503c\u8981\u8d85\u8fc770%\uff0c\u90a3\u4e482008\u5e74\u7a7a\u6c14\u8d28\u91cf\u826f\u597d\u7684\u5929\u6570\u8981\u6bd42002\u5e74\u81f3\u5c11\u589e\u52a0\u591a\u5c11\uff1f\uff08\u6bcf\u5e74\u5747\u6309365\u5929\u8ba1\u7b97\uff09P55\u9875
\u89e3\uff1a\u8bbe2008\u5e74\u7a7a\u6c14\u8d28\u91cf\u826f\u597d\u7684\u5929\u6570\u8981\u6bd42002\u5e74\u81f3\u5c11\u589e\u52a0X\u5929\u3002
X\u2265365\u00d7\uff0870%-55%\uff09
X\u2265365\u00d715%
X\u226554.75
\u7b54\uff1a2008\u5e74\u7a7a\u6c14\u8d28\u91cf\u826f\u597d\u7684\u5929\u6570\u8981\u6bd42002\u5e74\u81f3\u5c11\u589e\u52a055\u5929\u3002
11\u3001\u6709\u4e00\u4e2a\u4e24\u4f4d\u6570\uff0c\u5982\u679c\u628a\u5b83\u7684\u4e2a\u4f4d\u6570\u5b57a\u548c\u5341\u4f4d\u6570\u5b57b\u5bf9\u8c03\uff0c\u90a3\u4e48\u4ec0\u4e48\u60c5\u51b5\u4e0b\u5f97\u5230\u7684\u4e24\u4f4d\u6570\u6bd4\u539f\u6765\u7684\u4e24\u4f4d\u6570\u5927\uff1f\u4ec0\u4e48\u60c5\u51b5\u4e0b\u5f97\u5230\u7684\u4e24\u4f4d\u6570\u6bd4\u539f\u6765\u7684\u4e24\u4f4d\u6570\u5c0f\uff1f\u4ec0\u4e48\u60c5\u51b5\u4e0b\u5f97\u5230\u7684\u4e24\u4f4d\u6570\u7b49\u4e8e\u539f\u6765\u7684\u4e24\u4f4d\u6570\uff1fP55\u9875
\u89e3\uff1a 10a+b\ufe6510b+a (1)
10b+a\ufe6510a+b (2)
10a+b=10b+a (3)
a\ufe65b (1)
b\ufe65a (2)
a =b (3)
\u2234 (1)\u3001\u5f53a\ufe65b\u65f6\uff0c\u5f97\u5230\u7684\u4e24\u4f4d\u6570\u6bd4\u539f\u6765\u7684\u4e24\u4f4d\u6570\u5927
(2)\u3001\u5f53 b\ufe65a\u65f6\uff0c\u5f97\u5230\u7684\u4e24\u4f4d\u6570\u6bd4\u539f\u6765\u7684\u4e24\u4f4d\u6570\u5c0f
(3)\u3001\u5f53 b=a\u65f6\uff0c\u5f97\u5230\u7684\u4e24\u4f4d\u6570\u7b49\u4e8e\u539f\u6765\u7684\u4e24\u4f4d\u6570
12\u3001\u67d0\u6b21\u77e5\u8bc6\u7ade\u8d5b\u670920\u9053\u9898\uff0c\u6bcf\u4e00\u9898\u7b54\u5bf9\u5f9710\u5206\uff0c\u7b54\u9519\u6216\u4e0d\u7b54\u90fd\u62635\u5206\u3002\u5c0f\u660e\u5f97\u5206\u8981\u8d85\u8fc790\u5206\uff0c\u4ed6\u81f3\u5c11\u8981\u7b54\u5bf9\u591a\u5c11\u9053\u9898\uff1fP55\u9875
\u89e3\uff1a\u8bbe\u4ed6\u81f3\u5c11\u8981\u7b54\u5bf9X\u9053\u9898\u3002
10X-(20-X) \u00d75\ufe6590
10X-100+5X\ufe6590
15X\ufe65190
X\ufe6512.66\u2026\u2026
\u2235X\u4e3a\u6574\u6570
\u2234X=13
\u7b54\uff1a\u4ed6\u81f3\u5c11\u8981\u7b54\u5bf913\u9053\u9898
13\u3001\u4e00\u4ef6\u7531\u9ec4\u91d1\u4e0e\u767d\u94f6\u5236\u6210\u7684\u9996\u9970\u91cda\u514b\uff0c\u5546\u5bb6\u79f0\u5176\u4e2d\u9ec4\u91d1\u542b\u91cf\u4e0d\u4f4e\u4e8e90%\uff0c\u9ec4\u91d1\u4e0e\u767d\u94f6\u7684\u5bc6\u5ea6\u5206\u522b\u662f19.3g/cm3\u4e0e10.5g/cm3\uff0c\u5217\u51fa\u4e0d\u7b49\u5f0f\u8868\u793a\u8fd9\u4ef6\u9996\u9970\u7684\u4f53\u79ef\u5e94\u6ee1\u8db3\u4ec0\u4e48\u6761\u4ef6\u3002P56\u9875
\uff08\u63d0\u793a\uff1a\u8d28\u91cf=\u5bc6\u5ea6\u00d7\u4f53\u79ef\uff09
\u89e3\uff1aV\ufe640.9a\u00f719.3+0.1a\u00f710.5
\u25c614\u3001\u7532\u3001\u4e59\u4e24\u5546\u5e97\u4ee5\u540c\u6837\u4ef7\u683c\u51fa\u552e\u540c\u6837\u7684\u5546\u54c1\uff0c\u5e76\u4e14\u53c8\u5404\u81ea\u63a8\u51fa\u4e0d\u540c\u7684\u4f18\u60e0\u65b9\u6848\uff1a\u5728\u7532\u5e97\u7d2f\u8ba1\u8d2d\u4e70100\u5143\u5546\u54c1\u540e\uff0c\u518d\u8d2d\u4e70\u7684\u5546\u54c1\u6309\u539f\u4ef7\u768490%\u6536\u8d39\uff1b\u5728\u4e59\u5e97\u7d2f\u8ba1\u8d2d\u4e7050\u5143\u5546\u54c1\u540e\uff0c\u518d\u8d2d\u4e70\u7684\u5546\u54c1\u6309\u539f\u4ef7\u768495%\u6536\u8d39\u3002\u987e\u5ba2\u600e\u6837\u9009\u62e9\u5546\u5e97\u8d2d\u7269\u80fd\u83b7\u5f97\u66f4\u5927\u4f18\u60e0\uff1fP56\u9875
\u89e3\uff1a\u8bbe\u987e\u5ba2\u7684\u6d88\u8d39\u91d1\u989d\u4e3aX\u5143
\u7532 100+\uff08X-100\uff09\u00d70.9
\u4e59 50+\uff08X-50\uff09\u00d70.95
\u2235 \u7532 \ufe65 \u4e59
\u2234 100+\uff08X-100\uff09\u00d70.9\ufe6550+\uff08X-50\uff09\u00d70.95
X\ufe64150
\u5982\uff1aX\ufe6450\u65f6\uff0c\u5728\u7532\u3001\u4e59\u5e97\u4e70\u90fd\u4e0d\u4f18\u60e0
\u5f5350\ufe64X\ufe64100\u65f6\uff0c\u5728\u4e59\u5e97\u4e70\u4f18\u60e0
\u5f53100\ufe64X\ufe64150\u65f6\uff0c\u5728\u4e59\u5e97\u4e70\u4f18\u60e0
\u5f53X\ufe65150\u65f6\uff0c\u5728\u7532\u5e97\u4e70\u4f18\u60e0
15\u3001\u4e00\u672c\u82f1\u8bed\u4e66\u517198\u9875\uff0c\u5f20\u529b\u8bfb\u4e86\u4e00\u5468\uff087\u5929\uff09\u8fd8\u6ca1\u8bfb\u5b8c\uff0c\u800c\u674e\u6c38\u4e0d\u5230\u4e00\u5468\u5c31\u5df2\u8bfb\u5b8c\u3002\u674e\u6c38\u5e73\u5747\u6bcf\u5929\u6bd4\u5f20\u529b\u591a\u8bfb3\u9875\uff0c\u5f20\u529b\u5e73\u5747\u6bcf\u5929\u8bfb\u591a\u5c11\u9875\uff08\u7b54\u6848\u53d6\u6574\u6570\uff09\uff1fP60\u9875
\u89e3\uff1a\u8bbe\u674e\u6c38\u6bcf\u5929\u8bfb\uff08X+3\uff09\u9875\uff0c\u5f20\u529b\u6bcf\u5929\u8bfbX\u9875
7X\ufe6498 \uff081\uff09
7\uff08X+3\uff09\ufe6598 \uff082\uff09
X\ufe6414 \uff081\uff09
X\ufe6511 \uff082\uff09
\u2234 \u4e0d\u7b49\u5f0f\u89e3\u96c6\u4e3a11\ufe64X\ufe6414
\u2235 X\u4e3a\u6574\u6570
\u2234 X=12,13
\u7b54\uff1a\u5f20\u529b\u5e73\u5747\u6bcf\u5929\u8bfb12,13\u9875\u4e66\u3002
16\u30013\u4e2a\u5c0f\u7ec4\u8ba1\u5212\u572810\u5929\u5185\u751f\u4ea7500\u4ef6\u4ea7\u54c1\uff08\u6bcf\u5929\u751f\u4ea7\u91cf\u76f8\u540c\uff09\uff0c\u6309\u539f\u5148\u7684\u751f\u4ea7\u901f\u5ea6\uff0c\u4e0d\u80fd\u5b8c\u6210\u4efb\u52a1\uff1b\u5982\u679c\u6bcf\u4e2a\u5c0f\u7ec4\u6bcf\u5929\u6bd4\u539f\u5148\u591a\u751f\u4ea71\u4ef6\u4ea7\u54c1\uff0c\u5c31\u80fd\u63d0\u524d\u5b8c\u6210\u4efb\u52a1\u3002\u6bcf\u4e2a\u5c0f\u7ec4\u539f\u5148\u6bcf\u5929\u751f\u4ea7\u591a\u5c11\u4ef6\u4ea7\u54c1\uff1fP60\u9875
\u89e3\uff1a\u8bbe\u6bcf\u4e2a\u5c0f\u7ec4\u539f\u5148\u6bcf\u5929\u751f\u4ea7X\u4ef6\u4ea7\u54c1\u3002
3X\u00d710\ufe64500 \uff081\uff09
3\uff08X+1\uff09\u00d710\ufe65500 \uff082\uff09
X\ufe6450/3 \uff081\uff09
X\ufe6547/3 \uff082\uff09
\u2234 47/3 \ufe64X\ufe6450/3
\u2235 X\u4e3a\u6574\u6570
\u2234 X=16
\u7b54\uff1a\u6bcf\u4e2a\u5c0f\u7ec4\u539f\u5148\u6bcf\u5929\u751f\u4ea716\u4ef6\u4ea7\u54c1\u3002
17\u3001\u67d0\u5546\u54c1\u7684\u552e\u4ef7\u662f150\u5143\uff0c\u5546\u5bb6\u552e\u51fa\u4e00\u4ef6\u8fd9\u79cd\u5546\u54c1\u53ef\u83b7\u5229\u6da6\u662f\u8fdb\u4ef7\u768410%\uff5e20%\uff0c\u8fdb\u4ef7\u7684\u8303\u56f4\u662f\u4ec0\u4e48\uff08\u7cbe\u786e\u52301\u5143\uff09\uff1fP62\u9875
\u89e3\uff1a\u8bbe\u8fdb\u4ef7X\u5143\u3002
X+10%X=150 \uff081\uff09
X+20%X=150 \uff082\uff09
X\u2248136 (1)
X=125 (2)
\u2234 \u8fdb\u4ef7\u8303\u56f4\u662f125\u5143\uff5e136\u5143\u3002
\u25c618\u3001\u7528\u6bcf\u5206\u949f\u53ef\u62bd1.1\u5428\u6c34\u7684A\u578b\u62bd\u6c34\u673a\u6765\u62bd\u6c34\uff0c\u534a\u5c0f\u65f6\u53ef\u4ee5\u62bd\u5b8c\uff1b\u5982\u679c\u7528B\u578b\u62bd\u6c34\u673a\uff0c\u4f30\u8ba120\u5206\u523022\u5206\u53ef\u4ee5\u62bd\u5b8c\u3002B\u578b\u62bd\u6c34\u673a\u6bd4A\u578b\u62bd\u6c34\u673a\u6bcf\u5206\u949f\u591a\u62bd\u591a\u5c11\u5428\u6c34\uff1fP63\u9875
\u89e3\uff1a\u8bbeB\u578b\u62bd\u6c34\u673a\u6bcf\u5206\u949f\u53ef\u62bdX\u5428\u6c34\u3002
20\u22641.1\u00d730/X\u226422
20X\u22641.1\u00d730
22X\u22651.1\u00d730
20X\u226433
22X\u226533
X\u22641.65
X\u22651.5
\u2234 1.5\u2264X\u22641.65
1.5-1.1=0.4
1.65-1.1=0.55
\u2235\u8bbeB\u578b\u62bd\u6c34\u673a\u6bd4A\u578b\u62bd\u6c34\u673a\u6bcf\u5206\u949f\u591a\u62bdY\u5428\u6c34\u3002
\u22340.4\u2264Y\u22640.55
\u7b54\uff1aB\u578b\u62bd\u6c34\u673a\u6bd4A\u578b\u62bd\u6c34\u673a\u6bcf\u5206\u949f\u591a\u62bd\u591a\u5c110.4\uff5e0.55\u5428\u6c34\u3002
\u25c619\u3001\u628a\u4e00\u4e9b\u4e66\u5206\u7ed9\u51e0\u4e2a\u5b66\u751f\uff0c\u5982\u679c\u6bcf\u4eba\u52063\u672c\u4e66\uff0c\u90a3\u4e48\u4f598\u672c\uff1b\u5982\u679c\u524d\u9762\u7684\u6bcf\u4e2a\u5b66\u751f\u52065\u672c\uff0c\u90a3\u4e48\u6700\u540e\u4e00\u4eba\u5c31\u5206\u4e0d\u52303\u672c\u3002\u8fd9\u4e9b\u4e66\u6709\u591a\u5c11\u672c\uff1f\u5b66\u751f\u6709\u591a\u5c11\u4eba\uff1fP64\u9875
\u89e3\uff1a\u8bbe\u8fd9\u4e9b\u4e66\u6709X\u672c,\u5b66\u751f\u6709Y\u4eba\u3002
3Y+8=X (1)
5(Y-1)+3=X (2)
\u89e3\uff1a 3Y+8=X (1)
5Y-X =2 (2)
\uff082\uff09-\uff081\uff09\u5f972Y=10
Y=5
\u628aY=5\u4ee3\u5165\uff081\uff09\u5f97
15+8=X
X=23
\u2234 X=23
Y=5
\u7b54\uff1a\u8fd9\u4e9b\u4e66\u670923\u672c\uff1f\u5b66\u751f\u67095\u4eba\uff1f
\u5217\u65b9\u7a0b\u89e3\u5e94\u7528\u9898
1\u3001\u8fd0\u900129.5\u5428\u7164\uff0c\u5148\u7528\u4e00\u8f86\u8f7d\u91cd4\u5428\u6c7d\u8f66\u8fd03\u6b21\uff0c\u5269\u4e0b\u7684\u7528\u4e00\u8f86\u8f7d\u91cd\u4e3a2.5\u5428\u7684\u8d27\u8f66\u8fd0\u3002\u8fd8\u8981\u8fd0\u51e0\u6b21\u624d\u80fd\u5b8c\uff1f
\u89e3\uff1a\u8bbe\u8fd8\u8981\u8fd0x\u6b21\u624d\u80fd\u5b8c \u3002
29.5-3\u00d74=2.5x
17.5=2.5x
x=7
\u7b54\uff1a\u8fd8\u8981\u8fd07\u6b21\u624d\u80fd\u5b8c
2\u3001\u4e00\u5757\u68af\u5f62\u7530\u7684\u9762\u79ef\u662f90\u5e73\u65b9\u7c73\uff0c\u4e0a\u5e95\u662f7\u7c73\uff0c\u4e0b\u5e95\u662f11\u7c73\uff0c\u5b83\u7684\u9ad8\u662f\u51e0\u7c73\uff1f
\u89e3\uff1a\u5b83\u7684\u9ad8\u662fx\u7c73
x(7+11)=90*2
18x=180
x=10
\u5b83\u7684\u9ad8\u662f10\u7c73
3\u3001\u67d0\u8f66\u95f4\u8ba1\u5212\u56db\u6708\u4efd\u751f\u4ea7\u96f6\u4ef65480\u4e2a\u3002\u5df2\u751f\u4ea7\u4e869\u5929\uff0c\u518d\u751f\u4ea7908\u4e2a\u5c31\u80fd\u5b8c\u6210\u751f\u4ea7\u8ba1\u5212\uff0c\u8fd99\u5929\u4e2d\u5e73\u5747\u6bcf\u5929\u751f\u4ea7\u591a\u5c11\u4e2a\uff1f
\u8fd99\u5929\u4e2d\u5e73\u5747\u6bcf\u5929\u751f\u4ea7x\u4e2a
9x+908=5408
9x=4500
x=500
\u8fd99\u5929\u4e2d\u5e73\u5747\u6bcf\u5929\u751f\u4ea7500\u4e2a
4\u3001\u7532\u4e59\u4e24\u8f66\u4ece\u76f8\u8ddd272\u5343\u7c73\u7684\u4e24\u5730\u540c\u65f6\u76f8\u5411\u800c\u884c\uff0c3\u5c0f\u65f6\u540e\u4e24\u8f66\u8fd8\u76f8\u969417\u5343\u7c73\u3002\u7532\u6bcf\u5c0f\u65f6\u884c45\u5343\u7c73\uff0c\u4e59\u6bcf\u5c0f\u65f6\u884c\u591a\u5c11\u5343\u7c73\uff1f
\u4e59\u6bcf\u5c0f\u65f6\u884cx\u5343\u7c73
3(45+x)+17=272
3(45+x)=255
45+x=85
x=40
\u4e59\u6bcf\u5c0f\u65f6\u884c40\u5343\u7c73
5\u3001\u67d0\u6821\u516d\u5e74\u7ea7\u6709\u4e24\u4e2a\u73ed\uff0c\u4e0a\u5b66\u671f\u7ea7\u6570\u5b66\u5e73\u5747\u6210\u7ee9\u662f85\u5206\u3002\u5df2\u77e5\u516d\uff081\uff09\u73ed40\u4eba\uff0c\u5e73\u5747\u6210\u7ee9\u4e3a87.1\u5206\uff1b\u516d\uff082\uff09\u73ed\u670942\u4eba\uff0c\u5e73\u5747\u6210\u7ee9\u662f\u591a\u5c11\u5206\uff1f
\u5e73\u5747\u6210\u7ee9\u662fx\u5206
40*87.1+42x=85*82
3484+42x=6970
42x=3486
x=83
\u5e73\u5747\u6210\u7ee9\u662f83\u5206
6\u3001\u5b66\u6821\u4e70\u676510\u7bb1\u7c89\u7b14\uff0c\u7528\u53bb250\u76d2\u540e\uff0c\u8fd8\u5269\u4e0b550\u76d2\uff0c\u5e73\u5747\u6bcf\u7bb1\u591a\u5c11\u76d2\uff1f
\u5e73\u5747\u6bcf\u7bb1x\u76d2
10x=250+550
10x=800
x=80
\u5e73\u5747\u6bcf\u7bb180\u76d2
7\u3001\u56db\u5e74\u7ea7\u5171\u6709\u5b66\u751f200\u4eba\uff0c\u8bfe\u5916\u6d3b\u52a8\u65f6\uff0c80\u540d\u5973\u751f\u90fd\u53bb\u8df3\u7ef3\u3002\u7537\u751f\u5206\u62105\u7ec4\u53bb\u8e22\u8db3\u7403\uff0c\u5e73\u5747\u6bcf\u7ec4\u591a\u5c11\u4eba\uff1f
\u5e73\u5747\u6bcf\u7ec4x\u4eba
5x+80=200
5x=160
x=32
\u5e73\u5747\u6bcf\u7ec432\u4eba
8\u3001\u98df\u5802\u8fd0\u6765150\u5343\u514b\u5927\u7c73\uff0c\u6bd4\u8fd0\u6765\u7684\u9762\u7c89\u76843\u500d\u5c1130\u5343\u514b\u3002\u98df\u5802\u8fd0\u6765\u9762\u7c89\u591a\u5c11\u5343\u514b\uff1f
\u98df\u5802\u8fd0\u6765\u9762\u7c89x\u5343\u514b
3x-30=150
3x=180
x=60
\u98df\u5802\u8fd0\u6765\u9762\u7c8960\u5343\u514b
9\u3001\u679c\u56ed\u91cc\u670952\u68f5\u6843\u6811\uff0c\u67096\u884c\u68a8\u6811\uff0c\u68a8\u6811\u6bd4\u6843\u6811\u591a20\u68f5\u3002\u5e73\u5747\u6bcf\u884c\u68a8\u6811\u6709\u591a\u5c11\u68f5\uff1f
\u5e73\u5747\u6bcf\u884c\u68a8\u6811\u6709x\u68f5
6x-52=20
6x=72
x=12
\u5e73\u5747\u6bcf\u884c\u68a8\u6811\u670912\u68f5
10\u3001\u4e00\u5757\u4e09\u89d2\u5f62\u5730\u7684\u9762\u79ef\u662f840\u5e73\u65b9\u7c73\uff0c\u5e95\u662f140\u7c73\uff0c\u9ad8\u662f\u591a\u5c11\u7c73\uff1f
\u9ad8\u662fx\u7c73
140x=840*2
140x=1680
x=12
\u9ad8\u662f12\u7c73
11\u3001\u674e\u5e08\u5085\u4e70\u676572\u7c73\u5e03\uff0c\u6b63\u597d\u505a20\u4ef6\u5927\u4eba\u8863\u670d\u548c16\u4ef6\u513f\u7ae5\u8863\u670d\u3002\u6bcf\u4ef6\u5927\u4eba\u8863\u670d\u75282.4\u7c73\uff0c\u6bcf\u4ef6\u513f\u7ae5\u8863\u670d\u7528\u5e03\u591a\u5c11\u7c73\uff1f
\u6bcf\u4ef6\u513f\u7ae5\u8863\u670d\u7528\u5e03x\u7c73
16x+20*2.4=72
16x=72-48
16x=24
x=1.5
\u6bcf\u4ef6\u513f\u7ae5\u8863\u670d\u7528\u5e031.5\u7c73
12\u30013\u5e74\u524d\u6bcd\u4eb2\u5c81\u6570\u662f\u5973\u513f\u76846\u500d\uff0c\u4eca\u5e74\u6bcd\u4eb233\u5c81\uff0c\u5973\u513f\u4eca\u5e74\u51e0\u5c81\uff1f
\u5973\u513f\u4eca\u5e74x\u5c81
30=6(x-3)
6x-18=30
6x=48
x=8
\u5973\u513f\u4eca\u5e748\u5c81
13\u3001\u4e00\u8f86\u65f6\u901f\u662f50\u5343\u7c73\u7684\u6c7d\u8f66\uff0c\u9700\u8981\u591a\u5c11\u65f6\u95f4\u624d\u80fd\u8ffd\u4e0a2\u5c0f\u65f6\u524d\u5f00\u51fa\u7684\u4e00\u8f86\u65f6\u901f\u4e3a40\u5343\u7c73\u6c7d\u8f66\uff1f
\u9700\u8981x\u65f6\u95f4
50x=40x+80
10x=80
x=8
\u9700\u89818\u65f6\u95f4
14\u3001\u5c0f\u4e1c\u5230\u6c34\u679c\u5e97\u4e70\u4e863\u5343\u514b\u7684\u82f9\u679c\u548c2\u5343\u514b\u7684\u68a8\u5171\u4ed815\u5143\uff0c1\u5343\u514b\u82f9\u679c\u6bd41\u5343\u514b\u68a8\u8d350.5\u5143\uff0c\u82f9\u679c\u548c\u68a8\u6bcf\u5343\u514b\u5404\u591a\u5c11\u5143\uff1f
\u82f9\u679cx
3x+2(x-0.5)=15
5x=16
x=3.2
\u82f9\u679c:3.2
\u68a8:2.7
15\u3001\u7532\u3001\u4e59\u4e24\u8f66\u5206\u522b\u4eceA\u3001B\u4e24\u5730\u540c\u65f6\u51fa\u53d1\uff0c\u76f8\u5411\u800c\u884c\uff0c\u7532\u6bcf\u5c0f\u65f6\u884c50\u5343\u7c73\uff0c\u4e59\u6bcf\u5c0f\u65f6\u884c40\u5343\u7c73\uff0c\u7532\u6bd4\u4e59\u65e91\u5c0f\u65f6\u5230\u8fbe\u4e2d\u70b9\u3002\u7532\u51e0\u5c0f\u65f6\u5230\u8fbe\u4e2d\u70b9\uff1f
\u7532x\u5c0f\u65f6\u5230\u8fbe\u4e2d\u70b9
50x=40(x+1)
10x=40
x=4
\u75324\u5c0f\u65f6\u5230\u8fbe\u4e2d\u70b9
16\u3001\u7532\u3001\u4e59\u4e24\u4eba\u5206\u522b\u4eceA\u3001B\u4e24\u5730\u540c\u65f6\u51fa\u53d1\uff0c\u76f8\u5411\u800c\u884c\uff0c2\u5c0f\u65f6\u76f8\u9047\u3002\u5982\u679c\u7532\u4eceA\u5730\uff0c\u4e59\u4eceB\u5730\u540c\u65f6\u51fa\u53d1\uff0c\u540c\u5411\u800c\u884c\uff0c\u90a3\u4e484\u5c0f\u65f6\u540e\u7532\u8ffd\u4e0a\u4e59\u3002\u5df2\u77e5\u7532\u901f\u5ea6\u662f15\u5343\u7c73/\u65f6\uff0c\u6c42\u4e59\u7684\u901f\u5ea6\u3002
\u4e59\u7684\u901f\u5ea6x
2(x+15)+4x=60
2x+30+4x=60
6x=30
x=5
\u4e59\u7684\u901f\u5ea65
17\uff0e\u4e24\u6839\u540c\u6837\u957f\u7684\u7ef3\u5b50\uff0c\u7b2c\u4e00\u6839\u526a\u53bb15\u7c73\uff0c\u7b2c\u4e8c\u6839\u6bd4\u7b2c\u4e00\u6839\u5269\u4e0b\u76843\u500d\u8fd8\u591a3\u7c73\u3002\u95ee\u539f\u6765\u4e24\u6839\u7ef3\u5b50\u5404\u957f\u51e0\u7c73\uff1f
\u539f\u6765\u4e24\u6839\u7ef3\u5b50\u5404\u957fx\u7c73
3(x-15)+3=x
3x-45+3=x
2x=42
x=21
\u539f\u6765\u4e24\u6839\u7ef3\u5b50\u5404\u957f21\u7c73
18\uff0e\u67d0\u6821\u4e70\u67657\u53ea\u7bee\u7403\u548c10\u53ea\u8db3\u7403\u5171\u4ed8248\u5143\u3002\u5df2\u77e5\u6bcf\u53ea\u7bee\u7403\u4e0e\u4e09\u53ea\u8db3\u7403\u4ef7\u94b1\u76f8\u7b49\uff0c\u95ee\u6bcf\u53ea\u7bee\u7403\u548c\u8db3\u7403\u5404\u591a\u5c11\u5143\uff1f
\u6bcf\u53ea\u7bee\u7403x
7x+10x/3=248
21x+10x=744
31x=744
x=24
\u6bcf\u53ea\u7bee\u7403:24
\u6bcf\u53ea\u8db3\u7403:8
1\u3001\u8fd0\u900129.5\u5428\u7164\uff0c\u5148\u7528\u4e00\u8f86\u8f7d\u91cd4\u5428\u7684\u6c7d\u8f66\u8fd03\u6b21\uff0c\u5269\u4e0b\u7684\u7528\u4e00\u8f86\u8f7d\u91cd\u4e3a2.5\u5428\u7684\u8d27\u8f66\u8fd0\u3002\u8fd8\u8981\u8fd0\u51e0\u6b21\u624d\u80fd\u5b8c\uff1f
\u8fd8\u8981\u8fd0x\u6b21\u624d\u80fd\u5b8c
29.5-3*4=2.5x
17.5=2.5x
x=7
\u8fd8\u8981\u8fd07\u6b21\u624d\u80fd\u5b8c
2\u3001\u4e00\u5757\u68af\u5f62\u7530\u7684\u9762\u79ef\u662f90\u5e73\u65b9\u7c73\uff0c\u4e0a\u5e95\u662f7\u7c73\uff0c\u4e0b\u5e95\u662f11\u7c73\uff0c\u5b83\u7684\u9ad8\u662f\u51e0\u7c73\uff1f
\u5b83\u7684\u9ad8\u662fx\u7c73
x(7+11)=90*2
18x=180
x=10
\u5b83\u7684\u9ad8\u662f10\u7c73
3\u3001\u67d0\u8f66\u95f4\u8ba1\u5212\u56db\u6708\u4efd\u751f\u4ea7\u96f6\u4ef65480\u4e2a\u3002\u5df2\u751f\u4ea7\u4e869\u5929\uff0c\u518d\u751f\u4ea7908\u4e2a\u5c31\u80fd\u5b8c\u6210\u751f\u4ea7\u8ba1\u5212\uff0c\u8fd99\u5929\u4e2d\u5e73\u5747\u6bcf\u5929\u751f\u4ea7\u591a\u5c11\u4e2a\uff1f
\u8fd99\u5929\u4e2d\u5e73\u5747\u6bcf\u5929\u751f\u4ea7x\u4e2a
9x+908=5408
9x=4500
x=500
\u8fd99\u5929\u4e2d\u5e73\u5747\u6bcf\u5929\u751f\u4ea7500\u4e2a
4\u3001\u7532\u4e59\u4e24\u8f66\u4ece\u76f8\u8ddd272\u5343\u7c73\u7684\u4e24\u5730\u540c\u65f6\u76f8\u5411\u800c\u884c\uff0c3\u5c0f\u65f6\u540e\u4e24\u8f66\u8fd8\u76f8\u969417\u5343\u7c73\u3002\u7532\u6bcf\u5c0f\u65f6\u884c45\u5343\u7c73\uff0c\u4e59\u6bcf\u5c0f\u65f6\u884c\u591a\u5c11\u5343\u7c73\uff1f
\u4e59\u6bcf\u5c0f\u65f6\u884cx\u5343\u7c73
3(45+x)+17=272
3(45+x)=255
45+x=85
x=40
\u4e59\u6bcf\u5c0f\u65f6\u884c40\u5343\u7c73
5\u3001\u67d0\u6821\u516d\u5e74\u7ea7\u6709\u4e24\u4e2a\u73ed\uff0c\u4e0a\u5b66\u671f\u7ea7\u6570\u5b66\u5e73\u5747\u6210\u7ee9\u662f85\u5206\u3002\u5df2\u77e5\u516d\uff081\uff09\u73ed40\u4eba\uff0c\u5e73\u5747\u6210\u7ee9\u4e3a87.1\u5206\uff1b\u516d\uff082\uff09\u73ed\u670942\u4eba\uff0c\u5e73\u5747\u6210\u7ee9\u662f\u591a\u5c11\u5206\uff1f
\u5e73\u5747\u6210\u7ee9\u662fx\u5206
40*87.1+42x=85*82
3484+42x=6970
42x=3486
x=83
\u5e73\u5747\u6210\u7ee9\u662f83\u5206
6\u3001\u5b66\u6821\u4e70\u676510\u7bb1\u7c89\u7b14\uff0c\u7528\u53bb250\u76d2\u540e\uff0c\u8fd8\u5269\u4e0b550\u76d2\uff0c\u5e73\u5747\u6bcf\u7bb1\u591a\u5c11\u76d2\uff1f
\u5e73\u5747\u6bcf\u7bb1x\u76d2
10x=250+550
10x=800
x=80
\u5e73\u5747\u6bcf\u7bb180\u76d2
7\u3001\u56db\u5e74\u7ea7\u5171\u6709\u5b66\u751f200\u4eba\uff0c\u8bfe\u5916\u6d3b\u52a8\u65f6\uff0c80\u540d\u5973\u751f\u90fd\u53bb\u8df3\u7ef3\u3002\u7537\u751f\u5206\u62105\u7ec4\u53bb\u8e22\u8db3\u7403\uff0c\u5e73\u5747\u6bcf\u7ec4\u591a\u5c11\u4eba\uff1f
\u5e73\u5747\u6bcf\u7ec4x\u4eba
5x+80=200
5x=160
x=32
\u5e73\u5747\u6bcf\u7ec432\u4eba
8\u3001\u98df\u5802\u8fd0\u6765150\u5343\u514b\u5927\u7c73\uff0c\u6bd4\u8fd0\u6765\u7684\u9762\u7c89\u76843\u500d\u5c1130\u5343\u514b\u3002\u98df\u5802\u8fd0\u6765\u9762\u7c89\u591a\u5c11\u5343\u514b\uff1f
\u98df\u5802\u8fd0\u6765\u9762\u7c89x\u5343\u514b
3x-30=150
3x=180
x=60
\u98df\u5802\u8fd0\u6765\u9762\u7c8960\u5343\u514b
9\u3001\u679c\u56ed\u91cc\u670952\u68f5\u6843\u6811\uff0c\u67096\u884c\u68a8\u6811\uff0c\u68a8\u6811\u6bd4\u6843\u6811\u591a20\u68f5\u3002\u5e73\u5747\u6bcf\u884c\u68a8\u6811\u6709\u591a\u5c11\u68f5\uff1f
\u5e73\u5747\u6bcf\u884c\u68a8\u6811\u6709x\u68f5
6x-52=20
6x=72
x=12
\u5e73\u5747\u6bcf\u884c\u68a8\u6811\u670912\u68f5
10\u3001\u4e00\u5757\u4e09\u89d2\u5f62\u5730\u7684\u9762\u79ef\u662f840\u5e73\u65b9\u7c73\uff0c\u5e95\u662f140\u7c73\uff0c\u9ad8\u662f\u591a\u5c11\u7c73\uff1f
\u9ad8\u662fx\u7c73
140x=840*2
140x=1680
x=12
\u9ad8\u662f12\u7c73
11\u3001\u674e\u5e08\u5085\u4e70\u676572\u7c73\u5e03\uff0c\u6b63\u597d\u505a20\u4ef6\u5927\u4eba\u8863\u670d\u548c16\u4ef6\u513f\u7ae5\u8863\u670d\u3002\u6bcf\u4ef6\u5927\u4eba\u8863\u670d\u75282.4\u7c73\uff0c\u6bcf\u4ef6\u513f\u7ae5\u8863\u670d\u7528\u5e03\u591a\u5c11\u7c73\uff1f
\u6bcf\u4ef6\u513f\u7ae5\u8863\u670d\u7528\u5e03x\u7c73
16x+20*2.4=72
16x=72-48
16x=24
x=1.5
\u6bcf\u4ef6\u513f\u7ae5\u8863\u670d\u7528\u5e031.5\u7c73
12\u30013\u5e74\u524d\u6bcd\u4eb2\u5c81\u6570\u662f\u5973\u513f\u76846\u500d\uff0c\u4eca\u5e74\u6bcd\u4eb233\u5c81\uff0c\u5973\u513f\u4eca\u5e74\u51e0\u5c81\uff1f
\u5973\u513f\u4eca\u5e74x\u5c81
30=6(x-3)
6x-18=30
6x=48
x=8
\u5973\u513f\u4eca\u5e748\u5c81
13\u3001\u4e00\u8f86\u65f6\u901f\u662f50\u5343\u7c73\u7684\u6c7d\u8f66\uff0c\u9700\u8981\u591a\u5c11\u65f6\u95f4\u624d\u80fd\u8ffd\u4e0a2\u5c0f\u65f6\u524d\u5f00\u51fa\u7684\u4e00\u8f86\u65f6\u901f\u4e3a40\u5343\u7c73\u6c7d\u8f66\uff1f
\u9700\u8981x\u65f6\u95f4
50x=40x+80
10x=80
x=8
\u9700\u89818\u65f6\u95f4
14\u3001\u5c0f\u4e1c\u5230\u6c34\u679c\u5e97\u4e70\u4e863\u5343\u514b\u7684\u82f9\u679c\u548c2\u5343\u514b\u7684\u68a8\u5171\u4ed815\u5143\uff0c1\u5343\u514b\u82f9\u679c\u6bd41\u5343\u514b\u68a8\u8d350.5\u5143\uff0c\u82f9\u679c\u548c\u68a8\u6bcf\u5343\u514b\u5404\u591a\u5c11\u5143\uff1f
\u82f9\u679cx
3x+2(x-0.5)=15
5x=16
x=3.2
\u82f9\u679c:3.2
\u68a8:2.7
15\u3001\u7532\u3001\u4e59\u4e24\u8f66\u5206\u522b\u4eceA\u3001B\u4e24\u5730\u540c\u65f6\u51fa\u53d1\uff0c\u76f8\u5411\u800c\u884c\uff0c\u7532\u6bcf\u5c0f\u65f6\u884c50\u5343\u7c73\uff0c\u4e59\u6bcf\u5c0f\u65f6\u884c40\u5343\u7c73\uff0c\u7532\u6bd4\u4e59\u65e91\u5c0f\u65f6\u5230\u8fbe\u4e2d\u70b9\u3002\u7532\u51e0\u5c0f\u65f6\u5230\u8fbe\u4e2d\u70b9\uff1f
\u7532x\u5c0f\u65f6\u5230\u8fbe\u4e2d\u70b9
50x=40(x+1)
10x=40
x=4
\u75324\u5c0f\u65f6\u5230\u8fbe\u4e2d\u70b9
16\u3001\u7532\u3001\u4e59\u4e24\u4eba\u5206\u522b\u4eceA\u3001B\u4e24\u5730\u540c\u65f6\u51fa\u53d1\uff0c\u76f8\u5411\u800c\u884c\uff0c2\u5c0f\u65f6\u76f8\u9047\u3002\u5982\u679c\u7532\u4eceA\u5730\uff0c\u4e59\u4eceB\u5730\u540c\u65f6\u51fa\u53d1\uff0c\u540c\u5411\u800c\u884c\uff0c\u90a3\u4e484\u5c0f\u65f6\u540e\u7532\u8ffd\u4e0a\u4e59\u3002\u5df2\u77e5\u7532\u901f\u5ea6\u662f15\u5343\u7c73/\u65f6\uff0c\u6c42\u4e59\u7684\u901f\u5ea6\u3002
\u4e59\u7684\u901f\u5ea6x
2(x+15)+4x=60
2x+30+4x=60
6x=30
x=5
\u4e59\u7684\u901f\u5ea65
17\uff0e\u4e24\u6839\u540c\u6837\u957f\u7684\u7ef3\u5b50\uff0c\u7b2c\u4e00\u6839\u526a\u53bb15\u7c73\uff0c\u7b2c\u4e8c\u6839\u6bd4\u7b2c\u4e00\u6839\u5269\u4e0b\u76843\u500d\u8fd8\u591a3\u7c73\u3002\u95ee\u539f\u6765\u4e24\u6839\u7ef3\u5b50\u5404\u957f\u51e0\u7c73\uff1f
\u539f\u6765\u4e24\u6839\u7ef3\u5b50\u5404\u957fx\u7c73
3(x-15)+3=x
3x-45+3=x
2x=42
x=21
\u539f\u6765\u4e24\u6839\u7ef3\u5b50\u5404\u957f21\u7c73
18\uff0e\u67d0\u6821\u4e70\u67657\u53ea\u7bee\u7403\u548c10\u53ea\u8db3\u7403\u5171\u4ed8248\u5143\u3002\u5df2\u77e5\u6bcf\u53ea\u7bee\u7403\u4e0e\u4e09\u53ea\u8db3\u7403\u4ef7\u94b1\u76f8\u7b49\uff0c\u95ee\u6bcf\u53ea\u7bee\u7403\u548c\u8db3\u7403\u5404\u591a\u5c11\u5143\uff1f
\u6bcf\u53ea\u7bee\u7403x
7x+10x/3=248
21x+10x=744
31x=744
x=24
\u6bcf\u53ea\u7bee\u7403:24
\u6bcf\u53ea\u8db3\u7403:8
1\u3001\u8fd0\u4e00\u6279\u8d27\u7269\uff0c\u4e00\u76f4\u8fc7\u53bb\u4e24\u6b21\u79df\u7528\u8fd9\u4e24\u53f0\u5927\u8d27\u8f66\u60c5\u51b5\uff1a\u7b2c\u4e00\u6b21 \u7532\u79cd\u8f662\u8f86\uff0c\u4e59\u79cd\u8f663\u8f86\uff0c\u8fd0\u4e8615.5\u5428 \u7b2c\u4e8c\u6b21 \u7532\u79cd\u8f665\u8f86 \u4e59\u79cd\u8f666\u8f86 \u8fd0\u4e8635\u5428\u8d27\u7269 \u73b0\u79df\u7528\u8be5\u516c\u53f83\u8f86\u7532\u79cd\u8f66\u548c5\u8f86\u4e59\u79cd\u8f66 \u5982\u679c\u6309\u6bcf\u5428\u4ed8\u8fd0\u8d3930\u5143 \u95ee\u8d27\u4e3b\u5e94\u4ed8\u591a\u5c11\u5143
\u89e3\uff1a\u8bbe\u7532\u53ef\u4ee5\u88c5x\u5428\uff0c\u4e59\u53ef\u4ee5\u88c5y\u5428\uff0c\u5219
2x+3y=15.5
5x+6y=35
\u5f97\u5230x=4
y=2.5
\u5f97\u5230\uff083x+5y\uff09*30=735
2\u3001\u73b0\u5bf9\u67d0\u5546\u54c1\u964d\u4ef710%\u4fc3\u9500.\u4e3a\u4e86\u4f7f\u9500\u552e\u603b\u91d1\u989d\u4e0d\u53d8.\u9500\u552e\u91cf\u8981\u6bd4\u6309\u539f\u4ef7\u9500\u552e\u65f6\u589e\u52a0\u767e\u5206\u4e4b\u51e0\uff1f
\u89e3\uff1a\u539f\u4ef7\u9500\u552e\u65f6\u589e\u52a0X%
(1-10%)*(1+X%)=1
X%=11.11%
\u4e3a\u4e86\u4f7f\u9500\u552e\u603b\u91d1\u989d\u4e0d\u53d8.\u9500\u552e\u91cf\u8981\u6bd4\u6309\u539f\u4ef7\u9500\u552e\u65f6\u589e\u52a011.11%
3\u30011\u4e2a\u5546\u54c1\u964d\u4ef710%\u540e\u7684\u4ef7\u683c\u6070\u597d\u6bd4\u539f\u4ef7\u7684\u4e00\u534a\u591a40\u5143,\u95ee\u8be5\u5546\u54c1\u539f\u4ef7\u662f\u591a\u5c11?
\u89e3\uff1a\u8bbe\u539f\u4ef7\u4e3ax\u5143
(1-10%)x-40=0.5x
x=100
\u7b54\uff1a\u539f\u4ef7\u4e3a100\u5143
4\u3001\u6709\u542b\u76d08%\u7684\u76d0\u6c3440\u514b\uff0c\u8981\u4f7f\u76d0\u6c34\u542b\u76d020%\uff0c\u5219\u9700\u52a0\u76d0\u591a\u5c11\u514b\uff1f
\u89e3\uff1a\u8bbe\u52a0\u76d0x\u514b
\u5f00\u59cb\u7eaf\u76d0\u662f40*8%\u514b
\u52a0\u4e86x\u514b\u662f40*8%+x
\u76d0\u6c34\u662f40+x\u514b
\u6d53\u5ea620%
\u6240\u4ee5(40*8%+x)/(40+x)=20%
(3.2+x)/(40+x)=0.2
3.2+x=8+0.2x
0.8x=4.8
x=6
\u6240\u4ee5\u52a0\u76d06\u514b
5\u3001\u67d0\u5e02\u573a\u9e21\u86cb\u4e70\u5356\u6309\u4e2a\u6570\u8ba1\u4ef7\uff0c\u4e00\u5546\u8d29\u4ee5\u6bcf\u4e2a0.24\u5143\u8d2d\u8fdb\u4e00\u6279\u9e21\u86cb\uff0c\u4f46\u5728\u8d29\u8fd0\u9014\u4e2d\u4e0d\u614e\u78b0\u788e\u4e8612\u4e2a\uff0c\u5269\u4e0b\u7684\u86cb\u4ee5\u6bcf\u4e2a0.28\u5143\u552e\u51fa\uff0c\u7ed3\u679c\u4ecd\u83b7\u522911.2\u5143\u3002\u95ee\u8be5\u5546\u8d29\u5f53\u521d\u4e70\u8fdb\u591a\u5c11\u4e2a\u9e21\u86cb\uff1f
\u89e3\uff1a\u8bbe\u8be5\u5546\u8d29\u5f53\u521d\u4e70\u8fdbX\u4e2a\u9e21\u86cb.
\u6839\u636e\u9898\u610f\u5217\u51fa\u65b9\u7a0b:
(X-12)*0.28-0.24X=11.2
0.28X-3.36-0.24X=11.2
0.04X=14.56
X=364
\u7b54:\u8be5\u5546\u8d29\u5f53\u521d\u4e70\u8fdb364\u4e2a\u9e21\u86cb.
6\u3001\u67d0\u8f66\u95f4\u6709\u6280\u5de585\u4eba\uff0c\u5e73\u5747\u6bcf\u5929\u6bcf\u4eba\u53ef\u52a0\u5de5\u7532\u79cd\u90e8\u4ef615\u4e2a\u6216\u4e59\u79cd\u90e8\u4ef610\u4e2a\uff0c2\u4e2a\u7532\u79cd\u90e8\u4ef6\u548c3\u4e2a\u4e59\u79cd\u90e8\u4ef6\u914d\u4e00\u5957\uff0c\u95ee\u52a0\u5de5\u7532\u3001\u4e59\u90e8\u4ef6\u5404\u5b89\u6392\u591a\u5c11\u4eba\u624d\u80fd\u4f7f\u6bcf\u5929\u52a0\u5de5\u7684\u7532\u3001\u4e59\u4e24\u79cd\u90e8\u4ef6\u521a\u597d\u914d\u5957\uff1f
\u89e3\uff1a\u8bbe\u5b89\u6392\u751f\u4ea7\u7532\u7684\u9700\u8981x\u4eba\uff0c\u90a3\u4e48\u751f\u4ea7\u4e59\u7684\u6709\uff0885\uff0dx)\u4eba
\u56e0\u4e3a2\u4e2a\u7532\u79cd\u90e8\u4ef6\u548c3\u4e2a\u4e59\u79cd\u90e8\u4ef6\u914d\u4e00\u5957\uff0c\u6240\u4ee5
\u6240\u4ee5\u751f\u4ea7\u7684\u7532\u90e8\u4ef6\u4e58\u4ee53\u624d\u80fd\u7b49\u4e8e\u4e59\u90e8\u4ef6\u4e58\u4ee52\u7684\u6570\u91cf
16*x*3\uff1d10*(85-x)*2
\u89e3\u5f97\uff1ax=25
\u751f\u4ea7\u7532\u7684\u9700\u898125\u4eba\uff0c\u751f\u4ea7\u4e59\u7684\u9700\u898160\u4eba\uff01
7\u3001\u7ea2\u5149\u7535\u5668\u5546\u884c\u628a\u67d0\u79cd\u5f69\u7535\u6309\u6807\u4ef7\u7684\u516b\u6298\u51fa\u552e\uff0c\u4ecd\u53ef\u83b7\u522920%\u3002\u5df2\u77e5\u8fd9\u79cd\u5f69\u7535\u6bcf\u53f0\u8fdb\u4ef71996\u5143\u3002\u90a3\u4e48\u8fd9\u79cd\u5f69\u7535\u6bcf\u53f0\u6807\u4ef7\u5e94\u4e3a\u591a\u5c11\u5143\uff1f
\u89e3\uff1a\u8bbe\u6807\u4ef7\u4e3aX\u5143.
80%X=1996\u00d7(1+20%)
80%X= 2395.2
X=2994
8\u3001\u67d0\u5546\u5e97\u628a\u67d0\u79cd\u5546\u54c1\u6309\u6807\u4ef7\u76848\u6298\u51fa\u552e\uff0c\u53ef\u83b7\u522920%\u3002\u82e5\u8be5\u5546\u54c1\u7684\u8fdb\u4ef7\u4e3a\u6bcf\u4ef622\u5143\uff0c\u5219\u6bcf\u4ef6\u5546\u54c1\u7684\u6807\u4ef7\u4e3a\u591a\u5c11\u5143\uff1f
\u89e3\uff1a:\u8bbe\u6807\u4ef7\u4e3aX\u5143.
80%X=22\u00d7(1+20%)
80%X= 26.4
X=33
9\u3001\u5728\u4e00\u6bb5\u53cc\u8f68\u94c1\u9053\u4e0a\uff0c\u4e24\u5217\u706b\u8f66\u8fce\u5934\u9a76\u8fc7\uff0cA\u5217\u8f66\u8f66\u901f\u4e3a20m/s\uff0cB\u5217\u8f66\u8f66\u901f\u4e3a24m/s\uff0c\u82e5A\u5217\u8f66\u5168\u957f180m\uff0cB\u5217\u8f66\u5168\u957f160m\uff0c\u95ee\u4e24\u5217\u8f66\u9519\u8f66\u7684\u65f6\u95f4\u4e3a\u591a\u5c11\u79d2\uff1f
\u89e3\uff1a(180+160)/(20+24)=7.28\u79d2
10\u3001\u7532\u4e59\u4e24\u540d\u540c\u5b66\u5728\u540c\u4e00\u9053\u8def\u4e0a\u4ece\u76f8\u8ddd5km\u7684\u4e24\u5730\u540c\u5411\u800c\u884c\uff0c\u7532\u7684\u901f\u5ea6\u4e3a5km/h\uff0c\u4e59\u7684\u901f\u5ea6\u4e3a3km/h\uff0c\u7532\u540c\u5b66\u5e26\u7740\u4e00\u6761\u72d7\uff0c\u5f53\u7532\u8ffd\u4e59\u65f6\uff0c\u72d7\u5148\u8ffd\u4e59\uff0c\u518d\u8fd4\u56de\u9047\u4e0a\u7532\uff0c\u53c8\u8fd4\u56de\u8ffd\u4e59\uff0c\u2026\u2026\u76f4\u5230\u7532\u8ffd\u5230\u4e59\u4e3a\u6b62\u3002\u5df2\u77e5\u72d7\u7684\u901f\u5ea6\u4e3a15km/h\uff0c\u6c42\u6b64\u8fc7\u7a0b\u4e2d\uff0c\u72d7\u8dd1\u7684\u603b\u8def\u7a0b\u3002
\u89e3\uff1a\u9996\u5148\u8981\u660e\u786e,\u7532\u4e59\u7684\u76f8\u9047\u65f6\u95f4\u7b49\u4e8e\u72d7\u6765\u56de\u8dd1\u7684\u65f6\u95f4
\u6240\u4ee5\u72d7\u7684\u65f6\u95f4=\u7532\u4e59\u76f8\u9047\u65f6\u95f4=\u603b\u8def\u7a0b/\u7532\u4e59\u901f\u5ea6\u548c
=5km/(5km/h+3km/h)=5/8h
\u6240\u4ee5\u72d7\u7684\u8def\u7a0b=\u72d7\u7684\u65f6\u95f4*\u72d7\u7684\u901f\u5ea6=5/8h*15km/h=75/8km
\u6240\u4ee5\u7532\u4e59\u76f8\u9047\u72d7\u8d70\u4e8675/8\u5343\u7c73
\u4e00\u5929\u5c0f\u7ea2\u548c\u5c0f\u4eae2\u4eba\u5229\u7528\u6e29\u5ea6\u5dee\u6d4b\u91cf\u67d0\u5c71\u5cf0\u7684\u9ad8\u5ea6\uff0c\u5c0f\u7ea2\u5728\u5c71\u9876\u4fa7\u7684\u6e29\u5ea6\u662f-1\u5ea6 \u5c0f\u4eae\u6b64\u65f6\u5728\u5c71\u811a\u4e0b\u6d4b\u5f97\u7684\u6e29\u5ea6\u662f5\u5ea6 \u5df2\u77e5\u8be5\u5730
\u533a\u7684\u9ad8\u5ea6\u6bcf\u589e\u52a0100M\uff0c\u6c14\u6e29\u5927\u7ea6\u4e0b\u964d0.6\u5ea6 \u8fd9\u5ea7\u5c71\u5cf0\u7684\u9ad8\u5ea6\u662f\uff1f
\u5f53\u6c14\u6e29\u6bcf\u4e0a\u53471\u5ea6\u65f6\uff0c\u67d0\u79cd\u91d1\u5c5e\u4e1d\u4f38\u957f0.002MM \u53cd\u4e4b\uff0c \u5f53\u6e29\u5ea6\u6bcf\u4e0b\u964d1\u5ea6\u65f6\uff0c\u91d1\u5c5e\u4e1d\u7f29\u77ed0.002MM\u3002\u628a15\u5ea6\u7684\u91d1\u5c5e\u4e1d\u52a0\u70ed\u523060\u5ea6\uff0c\u5728\u4f7f\u5b83\u51b7\u5374\u964d\u6e29\u52305\u5ea6\uff0c\u91d1\u5c5e\u4e1d\u7684\u957f\u5ea6\u7ecf\u5386\u4e86\u600e\u6837\u7684\u53d8\u5316\uff1f \u6700\u540e\u7684\u957f\u5ea6\u6bd4\u539f\u6765\u957f\u5ea6\u4f38\u957f\u591a\u5c11\uff1f
\u4e00\u79cd\u51fa\u79df\u8f66\u7684\u6536\u8d39\u65b9\u5f0f\u5982\u4e0b\uff1a4\u5343\u7c73\u4ee5\u518510\u5143\uff0c4\u5343\u7c73\u81f315\u5343\u7c73\u90e8\u5206\u6bcf\u5343\u7c73\u52a0\u65361.2\u5143\uff0c15\u5343\u7c73\u4ee5\u4e0a\u90e8\u5206\u6bcf\u5343\u7c73\u52a0\u65361.6\u5143\uff0c\u67d0\u4e58\u5ba2\u8981\u4e58\u51fa\u79df\u8f66\u53bb50\u5343\u7c73\u5904\u7684\u67d0\u5730\uff0e
\uff081\uff09\u5982\u679c\u4e58\u5ba2\u4e2d\u9014\u4e0d\u6362\u8f66\u8981\u4ed8\u8f66\u8d39\u591a\u5c11\u5143\uff1f
\uff082\uff09\u5982\u679c\u4e2d\u9014\u4e58\u5ba2\u6362\u4e58\u4e00\u8f86\u51fa\u79df\u8f66\uff0c\u4ed6\u5728\u4f55\u5904\u6362\u6bd4\u8f83\u5408\u7b97\uff1f\u7b97\u51fa\u603b\u8d39\u7528\u4e0e\uff081\uff09\u6bd4\u8f83\uff0e
\u5df2\u77e5\u5f00\u76d8\u662f25.35,\u6536\u76d8\u662f27.38,\u6c42\u5f00\u76d8\u90fd\u6536\u76d8\u4e0a\u6da8\u7684\u767e\u5206\u6bd4.
\uff0827.38-25.35)\u00d7100%\u00f725.35\u22488%
\u8d2d\u7968\u4eba 50\u4eba\u4ee5\u4e0b 50-100\u4eba 100\u4eba\u4ee5\u4e0a
\u6bcf\u4eba\u95e8\u7968\u4ef7 12\u5143 10\u5143 8\u5143
\u73b0\u6709\u7532\u4e59\u4e24\u4e2a\u65c5\u6e38\u56e2\uff0c\u82e5\u5206\u522b\u8d2d\u7968\uff0c\u4e24\u56e2\u5e94\u4ed8\u95e8\u7968\u8d39\u603b\u8ba11142\u5143\uff0c\u5982\u5408\u5728\u4e00\u8d77\u4f5c\u4e3a\u4e00\u4e2a\u56e2\u4f53\u8d2d\u7968\uff0c\u53ea\u8981\u95e8\u7968\u8d39864\u5143\u3002\u4e24\u4e2a\u65c5\u6e38\u56e2\u5404\u6709\u51e0\u4eba\uff1f
\u3010\u89e3\u3011 \u56e0\u4e3a864\uff1e8\u00d7100\uff0c\u53ef\u77e5\u4e24\u56e2\u603b\u4eba\u6570\u8d85\u8fc7100\u4eba\uff0c\u56e0\u800c\u4e24\u56e2\u603b\u4eba\u6570\u4e3a864\u00f78=108\uff08\u4eba\uff09.
\u56e0\u4e3a108\u00d710=1080\uff1c1142\uff0c108\u00d712=1296\uff1e1142.\u6240\u4ee5\u6bcf\u4e2a\u56e2\u7684\u4eba\u6570\u4e0d\u4f1a\u90fd\u5927\u4e8e50\u4eba\uff0c\u4e5f\u4e0d\u4f1a\u90fd\u5c0f\u4e8e50\u4eba\uff0c\u5373\u4e00\u4e2a\u56e2\u5927\u4e8e50\u4eba\uff0c\u53e6\u4e00\u4e2a\u56e2\u5c11\u4e8e50\u4eba.
\u5047\u8bbe\u4e24\u56e2\u90fd\u5927\u4e8e 50\u4eba\uff0c\u5219\u5206\u522b\u4ed8\u6b3e\u65f6\uff0c\u5e94\u4ed8108\u00d710=1080\uff08\u5143\uff09\uff0c\u5b9e\u9645\u591a\u4ed8\u4e861142-1080=62\uff08\u5143\uff09.\u8fd9\u662f\u5c11\u4e8e50\u4eba\u7684\u65c5\u6e38\u56e2\u591a\u4ed8\u7684\u94b1.
\u56e0\u6b64\uff0c\u8fd9\u4e2a\u65c5\u6e38\u56e2\u7684\u4eba\u6570\u4e3a\uff1a62\u00f7\uff0812-10\uff09=31\uff08\u4eba\uff09\uff0c\u53e6\u4e00\u4e2a\u65c5\u6e38\u56e2\u4eba\u6570\u4e3a108-31=77\uff08\u4eba\uff09.
1\uff0c\u6709\u4e00\u53ea\u8239\u5728\u6c34\u4e2d\u822a\u884c\u4e0d\u5e78\u6f0f\u6c34\u3002\u5f53\u8239\u5458\u53d1\u73b0\u65f6\u8239\u91cc\u5df2\u7ecf\u8fdb\u4e86\u4e00\u4e9b\u6c34\uff0c\u4e14\u6c34\u4ecd\u5728\u5300\u901f\u8fdb\u5165\u8239\u5185\u3002\u82e58\u4eba\u6dd8\u6c34\uff0c\u8981\u75285\u5c0f\u65f6\u6dd8\u5b8c\uff1b\u82e510\u4eba\u6dd8\u6c34\uff0c\u8981\u75283\u5c0f\u65f6\u6dd8\u5b8c\u3002\u73b0\u5728\u8981\u6c422.5\u5c0f\u65f6\u6dd8\u5b8c\uff0c\u8981\u7528\u591a\u5c11\u4eba\u6dd8\u6c34\uff1f
\u7b54\u6848\uff1a11\u4e2a\u4eba
\u89e3:\u8bbe\u8239\u7684\u603b\u5bb9\u79ef\u4e3aa,\u8239\u8fdb\u6c34\u7684\u901f\u5ea6\u4e3ab,\u4eba\u6dd8\u6c34\u7684\u901f\u5ea6\u4e3ac,\u8bbe\u8981\u7528x\u4eba\u6dd8\u6c34\u80fd2.5\u5c0f\u65f6\u6dd8\u5b8c.
8*c*5=1/2*a+5*b (1)
10*c*3=1/2*a+3*b (2)
x*c*2.5=1/2*a+2.5*b (3)
(1)-(2)\u5f97\u5230b=5c (4)\uff0c\u628ab=5c\u4ee3\u5165(1)(2),\u7136\u540e(1)-(2)\u5f97\u52301/2a=15c (5)
\u628a(4)(5)\u4ee3\u5165(3),\u6700\u540e\u6574\u7406\u7684x=11
2.\u5feb\u3001\u6162\u4e24\u8f86\u8f66\u4ece\u5feb\u5230\u6162\u8f66\uff0c\u5feb\u8f66\u884c\u5230\u5168\u7a0b2/3\uff0c\u6162\u8f66\u8ddd\u7ec8\u70b9180\u5343\u7c73\uff0c\u4e24\u8f66\u6309\u539f\u901f\u7ee7\u7eed\u884c\u9a76\uff0c\u5feb\u5230\u5230\u8fbe\u7ec8\u70b9\uff0c\u6162\u8f66\u884c\u9a76\u4e86\u5168\u7a0b6/7\uff0c\u6c42\u5168\u7a0b\u591a\u5c11\u7c73\uff1f
\u7b54\u6848\uff1a\u5feb\u8f66\u884c\u5b8c\u5168\u7a0b\uff0c\u6162\u8f66\u8d70\u4e86\u5168\u7a0b\u76846/7\uff1b
\u540c\u6bd4\u53ef\u77e5\uff1a
\u5feb\u8f66\u884c\u5b8c\u5168\u7a0b\u76842/3\u65f6\uff0c\u6162\u8f66\u5e94\u8d70\u4e866/7*2/3(\u53734/7)\uff0c\u8fd8\u5269\u4f593/7\uff0c\u5168\u7a0b\u76843/7\u4e5f\u5c31\u662f\u5df2\u77e5\u6761\u4ef6180\uff0c\u5168\u7a0b\u5373\u4e3a180/\uff083/7\uff09=420\uff01
3,\u67d0\u94f6\u884c\u5efa\u7acb\u5927\u5b66\u751f\u52a9\u5b66\u8d37\u6b3e\uff0c6\u5e74\u671f\u7684\u8d37\u6b3e\u5e74\u5229\u7387\u4e3a\u767e\u5206\u4e4b\u516d\uff0c\u8d37\u6b3e\u5229\u606f\u7684\u767e\u5206\u4e4b\u4e94\u5341\u7531\u56fd\u5bb6\u8d22\u653f\u8d34\u8865\u3002\u67d0\u5927\u5b66\u751f\u9884\u8ba16\u5e74\u540e\u80fd\u4e00\u6b21\u6027\u507f\u8fd82\u4e07\u5143\uff0c\u5219\u4ed6\u73b0\u5728\u53ef\u4ee5\u8d37\u6b3e\u7684\u6570\u989d\u662f\u591a\u5c11\u5143\uff1f\uff08\u7cbe\u786e\u76841\u5143\uff09
\u7b54\u6848\uff1a\u8bbe\u4ed6\u73b0\u5728\u53ef\u4ee5\u8d37\u6b3e\u7684\u6570\u989d\u662fx\u5143\u3002
0.5(0.06x*6)+x=20000
0.18x+x=20000
1.18x=20000
x\u224816949
4\uff0c\u5c06\u25b3ABC\u7684\u8fb9\u5ef6\u957f\u81f3A1\uff0c\u4f7fB\u4e3a\u7ebf\u6bb5A A1\u7684\u4e2d\u70b9\uff0c\u540c\u6837\u65b9\u6cd5\uff0c\u5ef6\u957f\u8fb9BC\u5f97\u5230\u70b9B1\uff0c\u5ef6\u957f\u8fb9\u5f97\u5230\u70b9C1\uff0c\u5f97\u5230\u25b3A1 B1 C1\u79f0\u4e3a\u7b2c\u4e00\u6b21\u6269\u5c55\uff0c\u518d\u5c06\u25b3A1 B1 C1\u6309\u4e0a\u8ff0\u65b9\u6cd5\u5411\u5916\u6269\u5c55\u5f97\u5230\u25b3A2 B2 C2\uff0c\u5982\u6b64\uff0c\u8fdb\u884c\u4e0b\u53bb\uff0c\u5f97\u5230\u25b3An Bn Cn,\u7814\u7a76\u25b3An Bn Cn\u4e0e\u25b3ABC\u7684\u9762\u79ef\u5173\u7cfb\u3002\uff08\u5b57\u6570\u4e0d\u5c11\u4e8e200\uff09
\u7b54\u6848:\u8fde\u63a5A B1
\u2235AC=AC1
\u2234S\u25b3B1AC=S\u25b3B1AC1
\u53c8\u2235CB1=CB
\u2234S\u25b3B1AC=S\u25b3ABC
\u2234S\u25b3B1C1C=2S\u25b3ABC
\u540c\u7406\u53ef\u5f97S\u25b3AA1C1=S\u25b3BA1B1=2S\u25b3ABC
\u2234S\u25b3A1B1C1=7S\u25b3ABC
\u540c\u7406S\u25b3A2B2C2=7S\u25b3A1B1C1=49S\u25b3ABC
\u2234S\u25b3AnBnCn=7^nS\u25b3ABC
5\uff0c\u5c06\u25b3ABC\u7684\u8fb9\u5ef6\u957f\u81f3A1\uff0c\u4f7fB\u4e3a\u7ebf\u6bb5A A1\u7684\u4e2d\u70b9\uff0c\u540c\u6837\u65b9\u6cd5\uff0c\u5ef6\u957f\u8fb9BC\u5f97\u5230\u70b9B1\uff0c\u5ef6\u957f\u8fb9\u5f97\u5230\u70b9C1\uff0c\u5f97\u5230\u25b3A1 B1 C1\u79f0\u4e3a\u7b2c\u4e00\u6b21\u6269\u5c55\uff0c\u518d\u5c06\u25b3A1 B1 C1\u6309\u4e0a\u8ff0\u65b9\u6cd5\u5411\u5916\u6269\u5c55\u5f97\u5230\u25b3A2 B2 C2\uff0c\u5982\u6b64\uff0c\u8fdb\u884c\u4e0b\u53bb\uff0c\u5f97\u5230\u25b3An Bn Cn,\u7814\u7a76\u25b3An Bn Cn\u4e0e\u25b3ABC\u7684\u9762\u79ef\u5173.
\u7b54\u6848\uff1a\u8bbe\u4e09\u89d2\u5f62ABC\u4e09\u4e2a\u89d2\u5206\u522b\u4e3a\u03b1\u3001\u03b2\u3001\u03b3\u6309\u9898\u610f\u753b\u51fa\u4e09\u89d2\u5f62DEF\uff0c\u5219\u53ef\u5f97DEF\u7684\u4e09\u4e2a\u89d2\u5206\u522b\u4e3a180-\uff08180-\u03b1\uff09/2-(180-\u03b2)/2=(\u03b1+\u03b2)/2
180-\uff08180-\u03b3\uff09/2-(180-\u03b2)/2=(\u03b3+\u03b2)/2
180-\uff08180-\u03b1\uff09/2-(180-\u03b3)/2=(\u03b1+\u03b3)/2
\u5728\u4e09\u89d2\u5f62ABC\u5185\u4e00\u5b9a\u5b58\u5728\u03b1+\u03b2\uff1c180
\u03b3+\u03b2\uff1c180
\u03b1+\u03b3\uff1c180
\u6240\u4ee5\u5728\u4e09\u89d2\u5f62DEF\u4e2d\u4e09\u4e2a\u89d2\u90fd\u5c0f\u4e8e90\u6240\u4ee5DEF\u4e3a\u9510\u89d2\u4e09\u89d2\u5f62
\u5c0f\u7ea2\u6284\u5199\u4e00\u4efd\u6750\u6599\uff0c\u6bcf\u5206\u949f\u6284\u519930\u4e2a\u5b57\uff0c\u82e5\u5e72\u5206\u949f\u53ef\u4ee5\u6284\u5b8c\uff0c\u5f53\u5979\u6284\u5b8c\u8fd9\u4efd\u6750\u6599\u7684\u4e94\u5206\u4e4b\u4e8c\u65f6\uff0c\u51b3\u5b9a\u63d0\u9ad850%\u7684\u6548\u7387\uff0c\u7ed3\u679c\u63d0\u524d20\u5206\u949f\u6284\u5b8c\uff0c\u6c42\u8fd9\u4efd\u6750\u6599\u6709\u591a\u5c11\u5b57\uff1f
\u8bbe\u6750\u6599\u539f\u5148x\u5206\u949f\u53ef\u4ee5\u6284\u5b8c\uff0c\u5219\u6709
30x=30*(2/5x)+30*(1+50%)*(3/5x-20)
\u5f97\u51fax=100
\u8fd9\u4efd\u6750\u6599\u67093000\u5b57
12. 6 ×（ 1/2 + 2/3 ）
13. 8 × 4/5 + 8 × 11/5
14. 31 × 5/6 – 5/6
15. 9/7 - （ 2/7 – 10/21 ）
16. 5/9 × 18 – 14 × 2/7
17. 4/5 × 25/16 + 2/3 × 3/4
18. 14 × 8/7 – 5/6 × 12/15
19. 17/32 – 3/4 × 9/24
20. 3 × 2/9 + 1/3
21. 5/7 × 3/25 + 3/7
22. 3/14 ×× 2/3 + 1/6
23. 1/5 × 2/3 + 5/6
24. 9/22 + 1/11 ÷ 1/2
25. 5/3 × 11/5 + 4/3
26. 45 × 2/3 + 1/3 × 15
27. 7/19 + 12/19 × 5/6
28. 1/4 + 3/4 ÷ 2/3
29. 8/7 × 21/16 + 1/2
30. 101 × 1/5 – 1/5 × 21
31.50＋160÷40 （58+370）÷（64-45）
32.120-144÷18+35
33.347+45×2-4160÷52
34（58+37）÷（64-9×5）
35.95÷（64-45）
36.178-145÷5×6+42 420+580-64×21÷28
37.812-700÷（9+31×11） （136+64）×（65-345÷23）
38.85+14×（14+208÷26）
39.（284+16）×（512-8208÷18）
40.120-36×4÷18+35
41.（58+37）÷（64-9×5）
42.(6.8-6.8×0.55)÷8.5
43.0.12× 4.8÷0.12×4.8
44.（3.2×1.5+2.5）÷1.6 （2）3.2×（1.5+2.5）÷1.6
45.6-1.6÷4= 5.38+7.85-5.37=
46.7.2÷0.8-1.2×5= 6-1.19×3-0.43=
47.6.5×（4.8-1.2×4）= 0.68×1.9+0.32×1.9
48.10.15-10.75×0.4-5.7
49.5.8×（3.87-0.13）+4.2×3.74
50.32.52-（6+9.728÷3.2）×2.5
51.-5+58+13+90+78-(-56)+50
52.-7*2-57/(3
53.(-7)*2/(1/3)+79/(3+6/4）
54.123+456+789+98/(-4)
55.369/33-(-54-31/15.5)
56.39+{3x[42/2x(3x8)]}
57.9x8x7/5x(4+6)
58.11x22/(4+12/2)
59.94+(-60)/10
60.-9*34+53
1.25×（8+10）
=1.25×8+1.25×10
=10+12.5=22.5
9123-（123+8.8）
=9123-123-8.8
=9000-8.8
=8991.2
1.24×8.3+8.3×1.76
=8.3×（1.24+1.76)
=8.3×3=24.9
9999×1001
=9999×（1000+1）
=9999×1000+9999×1
=10008999
14.8×6.3-6.3×6.5＋8.3×3.7
=（14.8-6.5）×6.3＋8.3×3.7
=8.3×6.3+8.3×3.7
8.3×（6.3＋3.7）
=8.3×10
=83
1.24+0.78+8.76
=（1.24+8.76）+0.78
=10+0.78
=10.78
933-157-43
=933-（157+43）
=933-200
=733
4821-998
=4821-1000+2
=3823
I32×125×25
=4×8×125×25
=（4×25）×（8×125）
=100×1000
=100000
9048÷268
=（2600+2600+2600+1248）÷26
=2600÷26+2600÷26+2600÷26+1248÷269
=100+100+100+48
=348
2881÷ 43
=（1290+1591）÷ 434
=1290÷43+1591÷43
=30+37
3.2×42.3×3.75-12.5×0.423×16
=3.2×42.3×3.75-1.25×42.3×1.6
=42.3×(3.2×3.75-1.25×1.6)
=42.3×(4×0.8×3.75-1.25×4×0.4)
=42.3×(4×0.4×2×3.75-1.25×4×0.4)
=42.3×(4x0.4x7.5-1.25x4x0.4)
=42.3×[4×0.4×(7.5-1.25)]
=42.3×[4×0.4×6.25]
=42.3×(4×2.5)
=4237
1.8+18÷1.5-0.5×0.3
=1.8+12-0.15
=13.8-0.15
=13.65
6.5×8+3.5×8-47
=52+28-47
=80-47
(80-9.8)×5分之2-1.32
=70.2X2/5-1.32
=28.08-1.32
=26.76
8×7分之4÷[1÷(3.2-2.95)]
=8×4/7÷[1÷0.25]
=8×4/7÷4
=8/7
2700×（506－499）÷900
=2700×7÷900
=18900÷900
=21
33.02－（148.4－90.85）÷2.5
=33.02－57.55÷2.5
=33.02－23.02
=10
（1÷1－1）÷5.1
=（1－1）÷5.1
=0÷5.1
=0
18.1＋（3－0.299÷0.23）×1
=18.1＋1.7×1
=18.1＋1.7
=19.8
[-18]+29+[-52]+60= 19
[-3]+[-2]+[-1]+0+1+2= -3
[-301]+125+301+[-75]= 50
[-1]+[-1/2]+3/4+[-1/4]= -1
[-7/2]+5/6+[-0.5]+4/5+19/6= 1.25
[-26.54]+[-6.14]+18.54+6.14= -8
1.125+[-17/5]+[-1/8]+[-0.6]= -3
[-98+76+(-87)]*23[56+(-75)-(7)]-(8+4+3)
5+21*8/2-6-59
68/21-8-11*8+61
-2/9-7/9-56
4.6-(-3/4+1.6-4-3/4)
1/2+3+5/6-7/12
[2/3-4-1/4*(-0.4)]/1/3+2
22+(-4)+(-2)+4*3
-2*8-8*1/2+8/1/8
(2/3+1/2)/(-1/12)*(-12)
(-28)/(-6+4)+(-1)
2/(-2)+0/7-(-8)*(-2)
(1/4-5/6+1/3+2/3)/1/2
18-6/(-3)*(-2)
(5+3/8*8/30/(-2)-3
(-84)/2*(-3)/(-6)
1/2*(-4/15)/2/3
-3x+2y-5x-7y
1437×27＋27×563 〔75-（12+18）〕÷15
2160÷〔（83-79）×18〕 280＋840÷24×5
325÷13×(266－250) 85×(95－1440÷24)
58870÷(105＋20×2) 1437×27＋27×563
81432÷(13×52＋78) [37.85-（7.85+6.4）] ×30
156×[(17.7-7.2)÷3] （947－599）＋76×64
36×(913－276÷23) [192－（54＋38）]×67
[（7.1-5.6）×0.9-1.15]÷2.5 81432÷(13×52＋78)
5.4÷[2.6×（3.7-2.9）+0.62] （947－599）＋76×64 60－(9.5＋28.9)]÷0.18 2.881÷0.43－0.24×3.5 20×[(2.44－1.8)÷0.4＋0.15] 28-(3.4 1.25×2.4) 0.8×〔15.5-(3.21 5.79)〕 （31.8 3.2×4）÷5 194－64.8÷1.8×0.9 36.72÷4.25×9.9 3.416÷（0.016×35） 0.8×[(10－6.76)÷1.2]
（136+64）×（65-345÷23） (6.8-6.8×0.55)÷8.5
0.12× 4.8÷0.12×4.8 （58+37）÷（64-9×5）
812-700÷（9+31×11） （3.2×1.5+2.5）÷1.6
85+14×（14+208÷26） 120-36×4÷18+35
（284+16）×（512-8208÷18） 9.72×1.6-18.305÷7
4/7÷[1/3×（3/5-3/10）] （4/5+1/4）÷7/3+7/10
12.78－0÷（ 13.4＋156.6 ） 37.812-700÷（9+31×11） （136+64）×（65-345÷23） 3.2×（1.5+2.5）÷1.6
85+14×（14+208÷26） （58+37）÷（64-9×5）
(6.8-6.8×0.55)÷8.5 （284+16）×（512-8208÷18）
0.12× 4.8÷0.12×4.8 （3.2×1.5+2.5）÷1.6
120-36×4÷18+35 10.15-10.75×0.4-5.7
5.8×（3.87-0.13）+4.2×3.74 347+45×2-4160÷52
32.52-（6+9.728÷3.2）×2.5 87（58+37）÷（64-9×5）
[（7.1-5.6）×0.9-1.15] ÷2.5 （3.2×1.5+2.5）÷1.6
5.4÷[2.6×（3.7-2.9）+0.62] 12×6÷（12-7.2）-6
3.2×6+（1.5+2.5）÷1.6 （3.2×1.5+2.5）÷1.6
5.8×（3.87-0.13）+4.2×3.74
33.02－（148.4－90.85）÷2.5
1)23+(-73)
(2)(-84)+(-49)
(3)7+(-2.04)
(4)4.23+(-7.57)
(5)(-7/3)+(-7/6)
(6)9/4+(-3/2)
(7)3.75+(2.25)+5/4
(8)-3.75+(+5/4)+(-1.5)
(9)(-17/4)+(-10/3)+(+13/3)+(11/3)
(10)(-1.8)+(+0.2)+(-1.7)+(0.1)+(+1.8)+(+1.4)
(11)(+1.3)-(+17/7)
(12)(-2)-(+2/3)
(13)|(-7.2)-(-6.3)+(1.1)|
(14)|(-5/4)-(-3/4)|-|1-5/4-|-3/4|)
(15)(-2/199)*(-7/6-3/2+8/3)
(16)4a)*(-3b)*(5c)*1/6
1. 3/7 × 49/9 - 4/3
2. 8/9 × 15/36 + 1/27
3. 12× 5/6 – 2/9 ×3
4. 8× 5/4 + 1/4
5. 6÷ 3/8 – 3/8 ÷6
6. 4/7 × 5/9 + 3/7 × 5/9
7. 5/2 -（ 3/2 + 4/5 ）
8. 7/8 + （ 1/8 + 1/9 ）
9. 9 × 5/6 + 5/6
10. 3/4 × 8/9 - 1/3
0.12χ＋1.8×0.9=7.2 (9－5χ)×0.3=1.02 6.4χ-χ=28+4.4
11. 7 × 5/49 + 3/14
12. 6 ×（ 1/2 + 2/3 ）
13. 8 × 4/5 + 8 × 11/5
14. 31 × 5/6 – 5/6
15. 9/7 - （ 2/7 – 10/21 ）
16. 5/9 × 18 – 14 × 2/7
17. 4/5 × 25/16 + 2/3 × 3/4
18. 14 × 8/7 – 5/6 × 12/15
19. 17/32 – 3/4 × 9/24
20. 3 × 2/9 + 1/3
21. 5/7 × 3/25 + 3/7
22. 3/14 ×× 2/3 + 1/6
23. 1/5 × 2/3 + 5/6
24. 9/22 + 1/11 ÷ 1/2
25. 5/3 × 11/5 + 4/3
26. 45 × 2/3 + 1/3 × 15
27. 7/19 + 12/19 × 5/6
28. 1/4 + 3/4 ÷ 2/3
29. 8/7 × 21/16 + 1/2
30. 101 × 1/5 – 1/5 × 21
31.50＋160÷40 （58+370）÷（64-45）
32.120-144÷18+35
33.347+45×2-4160÷52
34（58+37）÷（64-9×5）
35.95÷（64-45）
36.178-145÷5×6+42 420+580-64×21÷28
37.812-700÷（9+31×11） （136+64）×（65-345÷23）
38.85+14×（14+208÷26）
39.（284+16）×（512-8208÷18）
40.120-36×4÷18+35
41.（58+37）÷（64-9×5）
42.(6.8-6.8×0.55)÷8.5
43.0.12× 4.8÷0.12×4.8
44.（3.2×1.5+2.5）÷1.6 （2）3.2×（1.5+2.5）÷1.6
45.6-1.6÷4= 5.38+7.85-5.37=
46.7.2÷0.8-1.2×5= 6-1.19×3-0.43=
47.6.5×（4.8-1.2×4）= 0.68×1.9+0.32×1.9
48.10.15-10.75×0.4-5.7
49.5.8×（3.87-0.13）+4.2×3.74
50.32.52-（6+9.728÷3.2）×2.5
51.-5+58+13+90+78-(-56)+50
52.-7*2-57/(3
53.(-7)*2/(1/3)+79/(3+6/4）
54.123+456+789+98/(-4)
55.369/33-(-54-31/15.5)
56.39+{3x[42/2x(3x8)]}
57.9x8x7/5x(4+6)
58.11x22/(4+12/2)
59.94+(-60)/10
1.
a^3-2b^3+ab(2a-b)
=a^3+2a^2b-2b^3-ab^2
=a^2(a+2b)-b^2(2b+a)
=(a+2b)(a^2-b^2)
=(a+2b)(a+b)(a-b)
2.
(x^2+y^2)^2-4y(x^2+y^2)+4y^2
=(x^2+y^2-2y)^2
3.
(x^2+2x)^2+3(x^2+2x)+x^2+2x+3
=(x^2+2x)^2+4(x^2+2x)+3
=(x^2+2x+3)(x^2+2x+1)
=(x^2+2x+3)(x+1)^2
4.
(a+1)(a+2)+(2a+1)(a-2)-12
=a^2+3a+2+2a^2-3a-2-12
=3a^2-12
=3(a+2)(a-2)
5.
x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2
=[x(y+z)-y(x-z)]^2
=(xz+yz)^2
=z^2(x+y)^2
6.
3(a+2)^2+28(a+2)-20
=[3(a+2)-2][(a+2)+10]
=(3a+4)(a+12)
7.
(a+b)^2-(b-c)^2+a^2-c^2
=(a+b)^2-c^2+a^2-(b-c)^2
=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)
=(a+b-c)(a+b+c+a-b+c)
=2(a+b-c)(a+c)
8.
x(x+1)(x^2+x-1)-2
=(x^2+x)(x^2+x-1)-2
=(x^2+x)^2-(x^2+x)-2
=(x^2+x-2)(x^2+x+1)
=(x+2)(x-1)(x^2+x+1)
1. 3/7 × 49/9 - 4/3
2. 8/9 × 15/36 + 1/27
3. 12× 5/6 – 2/9 ×3
4. 8× 5/4 + 1/4
5. 6÷ 3/8 – 3/8 ÷6
6. 4/7 × 5/9 + 3/7 × 5/9
7. 5/2 -（ 3/2 + 4/5 ）
8. 7/8 + （ 1/8 + 1/9 ）
9. 9 × 5/6 + 5/6
10. 3/4 × 8/9 - 1/3
0.12χ＋1.8×0.9=7.2 (9－5χ)×0.3=1.02 6.4χ-χ=28+4.4
11. 7 × 5/49 + 3/14
12. 6 ×（ 1/2 + 2/3 ）
13. 8 × 4/5 + 8 × 11/5
14. 31 × 5/6 – 5/6
15. 9/7 - （ 2/7 – 10/21 ）
16. 5/9 × 18 – 14 × 2/7
17. 4/5 × 25/16 + 2/3 × 3/4
18. 14 × 8/7 – 5/6 × 12/15
19. 17/32 – 3/4 × 9/24
20. 3 × 2/9 + 1/3
21. 5/7 × 3/25 + 3/7
22. 3/14 ×× 2/3 + 1/6
23. 1/5 × 2/3 + 5/6
24. 9/22 + 1/11 ÷ 1/2
25. 5/3 × 11/5 + 4/3
26. 45 × 2/3 + 1/3 × 15
27. 7/19 + 12/19 × 5/6
28. 1/4 + 3/4 ÷ 2/3
29. 8/7 × 21/16 + 1/2
30. 101 × 1/5 – 1/5 × 21
31.50＋160÷40 （58+370）÷（64-45）
32.120-144÷18+35
33.347+45×2-4160÷52
34（58+37）÷（64-9×5）
35.95÷（64-45）
36.178-145÷5×6+42 420+580-64×21÷28
37.812-700÷（9+31×11） （136+64）×（65-345÷23）
38.85+14×（14+208÷26）
39.（284+16）×（512-8208÷18）
40.120-36×4÷18+35
41.（58+37）÷（64-9×5）
42.(6.8-6.8×0.55)÷8.5
43.0.12× 4.8÷0.12×4.8
44.（3.2×1.5+2.5）÷1.6 （2）3.2×（1.5+2.5）÷1.6
45.6-1.6÷4= 5.38+7.85-5.37=
46.7.2÷0.8-1.2×5= 6-1.19×3-0.43=
47.6.5×（4.8-1.2×4）= 0.68×1.9+0.32×1.9
48.10.15-10.75×0.4-5.7
49.5.8×（3.87-0.13）+4.2×3.74
50.32.52-（6+9.728÷3.2）×2.5
51.-5+58+13+90+78-(-56)+50
52.-7*2-57/(3
53.(-7)*2/(1/3)+79/(3+6/4）
54.123+456+789+98/(-4)
55.369/33-(-54-31/15.5)
56.39+{3x[42/2x(3x8)]}
57.9x8x7/5x(4+6)
58.11x22/(4+12/2)
59.94+(-60)/10
1.
a^3-2b^3+ab(2a-b)
=a^3+2a^2b-2b^3-ab^2
=a^2(a+2b)-b^2(2b+a)
=(a+2b)(a^2-b^2)
=(a+2b)(a+b)(a-b)
2.
(x^2+y^2)^2-4y(x^2+y^2)+4y^2
=(x^2+y^2-2y)^2
3.
(x^2+2x)^2+3(x^2+2x)+x^2+2x+3
=(x^2+2x)^2+4(x^2+2x)+3
=(x^2+2x+3)(x^2+2x+1)
=(x^2+2x+3)(x+1)^2
4.
(a+1)(a+2)+(2a+1)(a-2)-12
=a^2+3a+2+2a^2-3a-2-12
=3a^2-12
=3(a+2)(a-2)
5.
x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2
=[x(y+z)-y(x-z)]^2
=(xz+yz)^2
=z^2(x+y)^2
6.
3(a+2)^2+28(a+2)-20
=[3(a+2)-2][(a+2)+10]
=(3a+4)(a+12)
7.
(a+b)^2-(b-c)^2+a^2-c^2
=(a+b)^2-c^2+a^2-(b-c)^2
=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)
=(a+b-c)(a+b+c+a-b+c)
=2(a+b-c)(a+c)
8.
x(x+1)(x^2+x-1)-2
=(x^2+x)(x^2+x-1)-2
=(x^2+x)^2-(x^2+x)-2
=(x^2+x-2)(x^2+x+1)
=(x+2)(x-1)(x^2+x+1)
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