帮我写出50道因式分解50道解方程10道应用题初一下册的（答案和题目都要） 求七年级下册数学应用题100道【50道也可以】，带答案的【尽...
\u521d\u4e00\u89e3\u65b9\u7a0b\u7ec3\u4e60\u9898\u53ca\u7b54\u684850\u90531. 2(x-2)-3(4x-1)=9(1-x)
2. 11x+64-2x=100-9x
3. 15-(8-5x)=7x+(4-3x)
4. 3(x-7)-2[9-4(2-x)]=22
5. 3/2[2/3(1/4x-1)-2]-x=2
6. 2(x-2)+2=x+1
7. 0.4(x-0.2)+1.5=0.7x-0.38
8. 30x-10(10-x)=100
9. 4(x+2)=5(x-2)
10. 120-4(x+5)=25
11. 15x+863-65x=54
12. 12.3(x-2)+1=x-(2x-1)
13. 11x+64-2x=100-9x
14. 14.59+x-25.31=0
15. x-48.32+78.51=80
16. 820-16x=45.5\u00d78
17. (x-6)\u00d77=2x
18. 3x+x=18
19. 0.8+3.2=7.2
20. 12.5-3x=6.5
21. 1.2(x-0.64)=0.54
22. x+12.5=3.5x
23. 8x-22.8=1.2
24. 1\ 50x+10=60
25. 2\ 60x-30=20
26. 3\ 3^20x+50=110
27. 4\ 2x=5x-3
28. 5\ 90=10+x
29. 6\ 90+20x=30
30. 7\ 691+3x=700
[1]2\u2014\uff081\u2014y\uff09=\u20142
2-1+y=--2
y=-2-2+1=-3
\uff082\uff095\u2014\uff08x\u20141\uff09=3\u20143x
5-x+1=3-3x
2x=3-1-5
2x=-3
x=-1.5
\uff083\uff093\u20142\uff082x+1\uff09=2\uff08x\u20143\uff09
3-4x-2=2x-6
6x=3-2+6
6x=7
x=7/6
\uff084\uff094x\u20143\uff0820\u2014x\uff09=6x\u20147\uff089\u2014x\uff09
4x-60+3x=6x-63+7x
7x-60=13x-63
6x=3
x=0.5
\uff085\uff0912\uff082\u20143x\uff09=4x+4
24-36x=4x+4
40x=20
x=0.5
\uff086\uff092\uff08200\u201415x\uff09=70+25x
400-30x=70+25x
55x=330
x=6
\uff087\uff094x\u20143\uff0820\u2014x\uff09+4=0
4x-60+3x+4=0
7x=60-4=56
x=8
\uff088\uff091\u20143\uff088\u2014x\uff09=\u20142\uff0815\u20142x\uff09
1-24+3x=-30+4x
x=1-24+30
x=7
\uff089\uff092-(1-y)=-2
2-1+y=-2
1+y=-2
y=-3
\uff0810\uff095-\uff08x-1)=3-3x
5-x+1=3-3x
6-x=3-3x
-x+3x=3-6
x=-1.5
\u5f88\u4e0d\u5bb9\u6613\u7684
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\u89e3 \uff1a\u8bbe\u738b\u5973\u58eb\u5728\u7532\u5546\u573a\u8d2d\u7269\u8d85\u8fc7X\u5143\u5c31\u6bd4\u5728\u4e59\u5546\u573a\u8d2d\u7269\u4f18\u60e0\u3002
(X-100)\u00d780\uff05\uff0b100\uff1c50\uff0b(X\uff0d50)\u00d790\uff05
0.8X-80\uff0b100\uff1c50\uff0b0.9X\uff0d45
\u79fb\u9879 \ufe630.1X\uff1c\uff0d15
X\uff1e150
2\u3001\u52a8\u7269\u56ed\u91cc\uff0c\u4e24\u53ea\u72d2\u72d2\u5728\u73a9\u8df7\u8df7\u677f\uff0c\u4f53\u91cd33kg\u7684\u5927\u72d2\u72d2\u628a\u5c0f\u72d2\u72d2\u7fd8\u4e0a\u4e86\u5929\uff0c\u5413\u7684\u5c0f\u72d2\u72d2\u76f4\u53eb\uff0c\u8fd9\u65f6\uff0c\u4e00\u76f4\u4f53\u91cd\u662f\u5c0f\u72d2\u72d2\u4e00\u534a\u7684\u5c0f\u7334\u5b50\u4ece\u6811\u4e0a\u8df3\u5230\u4e86\u5c0f\u72d2\u72d2\u7684\u8eab\u4e0a\uff0c\u53ea\u89c1\u5927\u72d2\u72d2\u79bb\u5f00\u4e86\u5730\u9762\uff0c\u88ab\u7fd8\u4e86\u8d77\u6765\uff0c\u4f60\u77e5\u9053\u5c0f\u7334\u5b50\u6709\u591a\u91cd\u5417\uff1f
\u89e3\uff1a\u8bbe\u5c0f\u7334\u5b50\u7684\u4f53\u91cd\u4e3aX kg,
33\u2264X\uff0b2X
33\u22643X
X\u226511
\u6545X\u226511kg
3\u3001\u67d0\u5c0f\u7ec4\u8ba1\u5212\u505a\u4e00\u6279\u201c\u4e2d\u56fd\u7ed3\u201d\uff0c\u5982\u679c\u6bcf\u4eba\u505a5\u4e2a\uff0c\u90a3\u4e48\u6bd4\u8ba1\u5212\u591a\u4e869\u4e2a\uff1b\u5982\u679c\u6bcf\u4eba\u505a4\u4e2a\uff0c\u90a3\u4e48\u6bd4\u8ba1\u5212\u5c11\u4e8615\u4e2a\uff0c\u5c0f\u7ec4\u6210\u5458\u5171\u6709\u591a\u5c11\u540d\uff1f\u4ed6\u4eec\u8ba1\u5212\u505a\u591a\u5c11\u4e2a\u201c\u4e2d\u56fd\u7ed3\u201d\uff1f
\u8bbe\u5c0f\u7ec4\u6210\u5458\u6709x\u540d
5x=4x\uff0b15+9
5x-4x=15\uff0b9
4.\u67d0\u4e2d\u5b66\u7ec4\u7ec7\u521d\u4e00\u5b66\u751f\u8fdb\u884c\u6625\u6e38\uff0c\u539f\u8ba1\u5212\u79df\u752845\u5ea7\u5ba2\u8f66\u82e5\u5e72\u8f86\uff0c\u4f46\u670915\u4eba\u6ca1\u6709\u5ea7\u4f4d\uff1b\u82e5\u79df\u7528\u540c\u6837\u6570\u91cf\u768460\u5ea7\u5ba2\u8f66\uff0c\u5219\u591a\u51fa\u4e00\u8f86\u8f66\uff0c\u4e14\u5176\u4f59\u5ba2\u8f66\u6070\u597d\u5750\u6ee1\u3002\u8bd5\u95ee
\uff081\uff09 \u521d\u4e00\u5e74\u7ea7\u4eba\u6570\u662f\u591a\u5c11\uff1f\u539f\u8ba1\u5212\u79df\u752845\u5ea7\u5ba2\u8f66\u591a\u5c11\u8f86\uff1f
\u89e3\uff1a\u79df\u752845\u5ea7\u5ba2\u8f66x\u8f86\uff0c\u79df\u752860\u5ea7\u5ba2\u8f66(x-1)\u8f86,
45x+15=60(x-1)
\u89e3\u4e4b\u5f97\uff1ax=5 45x+15=240(\u4eba\uff09
\u7b54\uff1a\u521d\u4e00\u5e74\u7ea7\u5b66\u751f\u4eba\u6570\u662f240\u4eba\uff0c
\u8ba1\u5212\u79df\u752845\u5ea7\u5ba2\u8f66\u4e3a5\u8f86
5\u5c06\u4e00\u6279\u4f1a\u8ba1\u62a5\u8868\u8f93\u5165\u7535\u8111\uff0c\u7532\u5355\u72ec\u505a\u970020h\u5b8c\u6210\uff0c\u4e59\u5355\u72ec\u505a\u970012h\u5b8c\u6210\uff0e\u73b0\u5728\u5148\u7531\u7532\u5355\u72ec\u505a4h\uff0c\u5269\u4e0b\u7684\u90e8\u5206\u7531\u7532\uff0c\u4e59\u5408\u4f5c\u5b8c\u6210\uff0c\u7532\uff0c\u4e59\u4e24\u4eba\u5408\u4f5c\u7684\u65f6\u95f4\u662f\u591a\u5c11\uff1f
\u89e3;\u8bbe\u4e3aXH
1/5+1/20X+1/12X=1
8/60X=4/5
X=6
\u7532\uff0c\u4e59\u4e24\u4eba\u5408\u4f5c\u7684\u65f6\u95f4\u662f6H.
6\u7532\u4e59\u4e19\u4e09\u4e2a\u6570\u7684\u548c\u662f53\uff0c\u4ee5\u77e5\u7532\u6570\u548c\u4e59\u6570\u7684\u6bd4\u662f4\uff1a3,\u4e19\u6570\u6bd4\u4e59\u6570\u5c112\uff0c\u4e59\u6570\u662f\uff08\uff09\uff0c\u4e19\u6570\u662f\uff08\uff09
\u8bbe\u7532\u6570\u4e3a4X.\u5219\u4e59\u4e3a3X.\u4e19\u4e3a3X-2.
4X+3X+3X-2=53
10X=53+2
10X=55
X=5.5
3X=16.5
3X-2=16.5-2=14.5
\u4e59\u4e3a16.5,\u4e19\u4e3a14.5
7\u7c97\u8721\u70db\u548c\u7ec6\u8721\u70db\u7684\u957f\u77ed\u4e00\u6837\uff0c\u7c97\u8721\u70db\u53ef\u71c35\u5c0f\u65f6\uff0c\u7ec6\u8721\u70db\u53ef\u71c34\u5c0f\u65f6\uff0c\u4e00\u6b21\u505c\u7535\u540e\u540c\u65f6\u70b9\u71c3\u8fd9\u4e24\u53ea\u8721\u70db\uff0c\u6765\u7535\u540e\u540c\u65f6\u7184\u706d\uff0c\u7ed3\u679c\u53d1\u73b0\u7c97\u8721\u70db\u7684\u957f\u662f\u7ec6\u8721\u70db\u957f\u76844\u500d\uff0c\u6c42\u505c\u7535\u591a\u957f\u65f6\u95f4\uff1f
\u8bbe\u505c\u7535x\u5c0f\u65f6. \u7c97\u8721\u70db\u6bcf\u5c0f\u65f6\u71c3\u70e71/5,\u7ec6\u8721\u70db\u662f1/4
1-1/5X=4(1-1/4)
1-1/5X=4-X
-1/5+X=4-1
4/5X=3
X=15/4
8.\u4e00\u4e2a\u4e09\u4f4d\u6570,\u767e\u4f4d\u4e0a\u7684\u6570\u5b57\u6bd4\u5341\u4f4d\u4e0a\u7684\u6570\u5b57\u59271,\u4e2a\u4f4d\u4e0a\u7684\u6570\u5b57\u6bd4\u5341\u4f4d\u4e0a\u7684\u6570\u5b57\u76843\u500d\u5c112,\u82e5\u5c06\u4e09\u4e2a\u6570\u5b57\u987a\u5e8f\u98a0\u5012\u540e,\u6240\u5f97\u7684\u4e09\u4f4d\u6570\u4e0e\u539f\u4e09\u4f4d\u6570\u7684\u548c\u662f1171,\u6c42\u8fd9\u4e2a\u4e09\u4f4d\u6570.
\u8bbe\u5341\u4f4d\u6570\u4e3ax
\u5219 100\u00d7\uff08x+1)+10x+3x-2+100*(x+1)+10x+x+1=1171
\u5316\u7b80\u5f97
424x=1272
\u6240\u4ee5:x=3
\u5219\u8fd9\u4e2a\u4e09\u4f4d\u6570\u4e3a437
9\u4e00\u5e74\u7ea7\u4e09\u4e2a\u73ed\u4e3a\u5e0c\u671b\u5c0f\u5b66\u6350\u8d60\u56fe\u4e66,\u4e00\u73ed\u5a1f\u4e86152\u518c,\u4e8c\u73ed\u6350\u4e66\u6570\u662f\u4e09\u4e2a\u73ed\u7ea7\u7684\u5e73\u5747\u6570,\u4e09\u73ed\u6350\u4e66\u6570\u662f\u5e74\u7ea7\u6350\u4e66\u603b\u6570\u768440%,\u4e09\u4e2a\u73ed\u5171\u6350\u4e86\u591a\u5c11\u56fe\u4e66?
\u89e3\uff1a\u8bbe\u2475\u73ed\u6350x\u518c
3x=152+x+3xX40%
3x=152+x+6/5x
3x-x-6/5x=152
4/5x=152
x=190\u2026\u2475\u73ed
190X3=570(\u672c\uff09
10.\u5df2\u77e5\u7532\u4e59\u4e24\u4eba\u5171\u540c\u5b8c\u6210\u4e00\u4ef6\u5de5\u4f5c\u970012\u5929\uff0c\u82e5\u7532\u4e59\u5355\u72ec\u5b8c\u6210\u8fd9\u4ef6\u5de5\u4f5c\uff0c\u5219\u4e59\u6240\u9700\u7684\u5929\u6570\u662f\u7532\u6240\u9700\u5929\u6570\u76841.5\u500d\u3002\u6c42\u7532\u3001\u4e59\u5355\u72ec\u5b8c\u6210\u8fd9\u4ef6\u5de5\u4f5c\u5404\u9700\u591a\u5c11\u5929\uff1f
\u8bbe\u7532\u4e3ax\u5929\uff0c\u5219\u4e59\u4e3a1.5x\uff0c
1/x+1/1.5x=1/12,
\u8fc7\u7a0b\uff0c\u4e24\u8fb9\u540c\u4e58x\uff0c\u5f971+1/1.5\uff1dx/12\uff0c\u5f97x=20
11.\u4e00\u9879\u5de5\u7a0b\uff0c\u82e5\u7532\u961f\u627f\u5305\u521a\u597d\u5728\u89c4\u5b9a\u65e5\u671f\u5185\u5b8c\u6210\uff0c\u4e59\u961f\u627f\u5305\u5219\u8981\u8d85\u8fc73\u5929\u5b8c\u6210\u3002\u7ed3\u679c\u7532\u3001\u4e59\u4e24\u961f\u5408\u4f5c2\u5929\uff0c\u5269\u4e0b\u90e8\u5206\u7531\u4e59\u961f\u5355\u72ec\u505a\uff0c\u521a\u597d\u5728\u89c4\u5b9a\u65e5\u671f\u5b8c\u6210\u3002\u6c42\u89c4\u5b9a\u65e5\u671f\u662f\u591a\u5c11\u5929\uff1f
\u8bbe\u65e5\u671f\u4e3ax\u5929
\u7532\u5de5\u4f5c\u6548\u7387\u4e3a1/x\uff0c\u4e59\u4e3a1/(x+3)\uff0c
\u5219\u65b9\u7a0b\u4e3a\uff0c\uff081/x+1/(x+3\uff09\uff09*2+(x-2)/(x+3)=1,
\u8fc7\u7a0b\uff0c2/x+2/(x+3)+(x-2)/(x+3)=1
x/(x+3)=(x-2)/x
x=6
12\u67d0\u8f66\u95f4\u6bcf\u4e2a\u5de5\u4eba\u80fd\u751f\u4ea712\u4e2a\u87ba\u6813\u621618\u4e2a\u87ba\u6bcd,\u6bcf\u4e2a\u87ba\u6813\u8981\u6709\u4e24\u4e2a\u87ba\u6bcd\u914d\u5957,\u73b0\u6709\u5171\u4eba28\u4eba,\u600e\u6837\u5206\u914d\u5de5\u4eba\u6570,\u624d\u80fd\u4f7f\u6bcf\u5929\u4ea7\u91cf\u521a\u597d\u914d\u5957?
\u89e3\uff1a \u8bbe\u5206\u914dx\u4eba\u53bb\u751f\u4ea7\u87ba\u6813\uff0c\u5219\uff0828-x\uff09\u4eba\u751f\u4ea7\u87ba\u6bcd
\u56e0\u4e3a\u6bcf\u4e2a\u87ba\u6813\u8981\u6709\u4e24\u4e2a\u87ba\u6bcd\u914d\u5957\uff0c\u6240\u4ee5\u87ba\u6813\u6570\u7684\u4e8c\u500d\u7b49\u4e8e\u87ba\u6bcd\u6570
2\u00d712x=18(28-x)
\u89e3\u5f97 x=12 \u6240\u4ee528-x=28-12=16
\u5373\u5e94\u5206\u914d12\u4eba\u751f\u4ea7\u87ba\u6813\uff0c16\u4eba\u751f\u4ea7\u87ba\u6bcd
13\u7532\u3001\u4e59\u4e24\u5217\u706b\u8f66\u76f8\u5411\u800c\u884c\uff0c\u7532\u5217\u8f66\u6bcf\u5c0f\u65f6\u884c\u9a7660\u5343\u7c73\uff0c\u8f66\u957f150\u7c73\uff1b\u4e59\u5217\u8f66\u6bcf\u5c0f\u65f6\u884c\u9a7675\u5343\u7c73\uff0c\u8f66\u957f120\u7c73\u3002\u4e24\u8f66\u4ece\u8f66\u5934\u76f8\u9047\u5230\u8f66\u5c3e\u76f8\u79bb\u9700\u591a\u5c11\u65f6\u95f4\uff1f
\u53ef\u4ee5\u5047\u5b9a\u7532\u5217\u8f66\u4e0d\u52a8,\u5219\u4e59\u5217\u8f66\u76f8\u5bf9\u7532\u5217\u8f66\u7684\u901f\u5ea6\u5c31\u4e3a60+75=135\u5343\u7c73/\u5c0f\u65f6;\u4e24\u8f66\u4ece\u8f66\u5934\u76f8\u9047\u5230\u8f66\u5c3e\u76f8\u79bb\u4e00\u5171\u8d70\u4e86150+120=270\u7c73=0.27\u5343\u7c73
\u5219\u6240\u6c42\u65f6\u95f4t=0.27/135=0.002\u5c0f\u65f6
14\u73b0\u5bf9\u67d0\u5546\u54c1\u964d\u4ef710%\u4fc3\u9500,\u4e3a\u4e86\u4f7f\u9500\u552e\u91d1\u989d\u4e0d\u53d8,\u9500\u552e\u91cf\u8981\u6bd4\u6309\u539f\u4ef7\u9500\u552e\u65f6\u589e\u52a0\u767e\u5206\u4e4b\u51e0?
\u8bbe\uff1a\u589e\u52a0x\uff05
90\uff05*\uff081\uff0bx%\uff09\uff1d1
\u89e3\u5f97\uff1a x\uff1d1\uff0f9
\u6240\u4ee5\uff0c\u9500\u552e\u91cf\u8981\u6bd4\u6309\u539f\u4ef7\u9500\u552e\u65f6\u589e\u52a011.11\uff05
15\u7532\uff0e\u4e59\u4e24\u79cd\u5546\u54c1\u7684\u539f\u5355\u4ef7\u548c\u4e3a100\u5143\uff0c\u56e0\u5e02\u573a\u53d8\u5316\uff0c\u7532\u5546\u54c1\u964d10\uff05\uff0c\u4e59\u5546\u54c1\u63d0\u4ef75\uff05\u8c03\u4ef7\u540e\u4e24\u5546\u54c1\u7684\u5355\u4ef7\u548c\u6bd4\u539f\u5355\u4ef7\u548c\u63d0\u9ad82\uff05\uff0c\u7532\uff0e\u4e59\u4e24\u5546\u54c1\u539f\u5355\u4ef7\u5404\u662f\u591a\u5c11\uff0f
\u8bbe\u7532\u5546\u54c1\u539f\u5355\u4ef7\u4e3aX\u5143\uff0c\u90a3\u4e48\u4e59\u4e3a100-X
\uff081-10%\uff09X+\uff081+5%\uff09\uff08100-X\uff09=100\uff081+2%\uff09
\u7ed3\u679cX=20\u5143 \u7532
100-20=80 \u4e59
16.\u7532\u8f66\u95f4\u4eba\u6570\u6bd4\u4e59\u8f66\u95f4\u4eba\u6570\u76844/5\u5c1130\u4eba\uff0c\u5982\u679c\u4ece\u4e59\u8f66\u95f4\u8c0310\u4eba\u5230\u7532\u8f66\u95f4\u53bb\uff0c\u90a3\u4e48\u7532\u8f66\u95f4\u7684\u4eba\u6570\u5c31\u662f\u4e59\u8f66\u95f4\u76843/4\u3002\u6c42\u539f\u6765\u6bcf\u4e2a\u8f66\u95f4\u7684\u4eba\u6570\u3002
\u8bbe\u4e59\u8f66\u95f4\u6709X\u4eba,\u6839\u636e\u603b\u4eba\u6570\u76f8\u7b49,\u5217\u51fa\u65b9\u7a0b:
X+4/5X-30=X-10+3/4(X-10)
X=250
\u6240\u4ee5\u7532\u8f66\u95f4\u4eba\u6570\u4e3a250*4/5-30=170.
\u8bf4\u660e:
\u7b49\u5f0f\u5de6\u8fb9\u662f\u8c03\u524d\u7684,\u7b49\u5f0f\u53f3\u8fb9\u662f\u8c03\u540e\u7684
17\u7532\u9a91\u81ea\u884c\u8f66\u4eceA\u5730\u5230B\u5730\uff0c\u4e59\u9a91\u81ea\u884c\u8f66\u4eceB\u5730\u5230A\u5730\uff0c\u4e24\u4eba\u90fd\u5747\u901f\u524d\u8fdb\uff0c\u4ee5\u77e5\u4e24\u4eba\u5728\u4e0a\u53488\u65f6\u540c\u65f6\u51fa\u53d1\uff0c\u5230\u4e0a\u534810\u65f6\uff0c\u4e24\u4eba\u8fd8\u76f8\u8ddd36\u5343\u7c73\uff0c\u5230\u4e2d\u534812\u65f6\uff0c\u4e24\u4eba\u53c8\u76f8\u8ddd36\u5343\u7c73\uff0c\u6c42A\uff0eB\u4e24\u5730\u95f4\u7684\u8def\u7a0b\uff1f(\u5217\u65b9\u7a0b\uff09
\u8bbeA\uff0cB\u4e24\u5730\u8def\u7a0b\u4e3aX
x-\uff08x/4\uff09=x-72
x=288
\u7b54\uff1aA,B\u4e24\u5730\u8def\u7a0b\u4e3a288
18.\u7532\u3001\u4e59\u4e24\u8f66\u957f\u5ea6\u5747\u4e3a180\u7c73\uff0c\u82e5\u4e24\u5217\u8f66\u76f8\u5bf9\u884c\u9a76\uff0c\u4ece\u8f66\u5934\u76f8\u9047\u5230\u8f66\u5c3e\u79bb\u5f00\u517112\u79d2\uff1b\u82e5\u540c\u5411\u884c\u9a76\uff0c\u4ece\u7532\u8f66\u5934\u9047\u5230\u4e59\u8f66\u5c3e\uff0c\u5230\u7532\u8f66\u5c3e\u8d85\u8fc7\u4e59\u8f66\u5934\u970060\u79d2\uff0c\u8f66\u7684\u901f\u5ea6\u4e0d\u53d8\uff0c\u6c42\u7532\u3001\u4e59\u4e24\u8f66\u7684\u901f\u5ea6\u3002
\u4e8c\u8f66\u7684\u901f\u5ea6\u548c\u662f\uff1a[180*2]/12=30\u7c73/\u79d2
\u8bbe\u7532\u901f\u5ea6\u662fX\uff0c\u5219\u4e59\u7684\u901f\u5ea6\u662f30-X
180*2=60[X-\uff0830-X\uff09]
X=18
\u5373\u7532\u8f66\u7684\u901f\u5ea6\u662f18\u7c73/\u79d2\uff0c\u4e59\u8f66\u7684\u901f\u5ea6\u662f\uff1a12\u7c73/\u79d2
19.\u4e24\u6839\u540c\u6837\u957f\u7684\u8721\u70db,\u7c97\u7684\u53ef\u71c33\u5c0f\u65f6,\u7ec6\u7684\u53ef\u71c38/3\u5c0f\u65f6,\u505c\u7535\u65f6,\u540c\u65f6\u70b9\u71c3\u4e24\u6839\u8721\u70db,\u6765\u7535\u65f6\u540c\u65f6\u5439\u706d,\u7c97\u7684\u662f\u7ec6\u7684\u957f\u5ea6\u76842\u500d,\u6c42\u505c\u7535\u7684\u65f6\u95f4.
\u8bbe\u505c\u7535\u7684\u65f6\u95f4\u662fX
\u8bbe\u603b\u957f\u662f\u5355\u4f4d1\uff0c\u90a3\u4e48\u7c97\u7684\u4e00\u65f6\u95f4\u71c31/3\uff0c\u7ec6\u7684\u662f3/8
1-X/3=2[1-3X/8]
X=2.4
\u5373\u505c\u7535\u4e862\uff0e4\u5c0f\u65f6\u3002
20\u67d0\u5de5\u5382\u4eca\u5e74\u5171\u751f\u4ea7\u67d0\u79cd\u673a\u56682300\u53f0\uff0c\u4e0e\u53bb\u5e74\u76f8\u6bd4\uff0c\u4e0a\u534a\u5e74\u589e\u52a025%\uff0c\u4e0b\u534a\u5e74\u51cf\u5c1115%\uff0c\u95ee\u4eca\u5e74\u4e0b\u534a\u5e74\u751f\u4ea7\u4e86\u591a\u5c11\u53f0?
\u89e3\uff1a\u8bbe\u4e0b\u534a\u5e74X\u751f\u4ea7\u53f0\uff0c\u5219\u4e0a\u534a\u5e74\u751f\u4ea7[2300-X]\u53f0\u3002
\u6839\u636e\u9898\u610f\u5f97\uff1a\u30101-15%\u3011X+\u30101+25%\u3011\u30102300-X\u3011=2300
\u89e3\u4e4b\u5f97\uff1a931
\u7b54\uff1a\u4e0b\u534a\u5e74\u751f\u4ea7931\u53f0\u3002
21\u7532\u9a91\u81ea\u884c\u8f66\u4eceA\u5730\u5230B\u5730\uff0c\u4e59\u9a91\u81ea\u884c\u8f66\u4eceB\u5730\u5230A\u5730\uff0c\u4e24\u4eba\u90fd\u5747\u901f\u524d\u8fdb\uff0c\u4ee5\u77e5\u4e24\u4eba\u5728\u4e0a\u53488\u65f6\u540c\u65f6\u51fa\u53d1\uff0c\u5230\u4e0a\u534810\u65f6\uff0c\u4e24\u4eba\u8fd8\u76f8\u8ddd36\u5343\u7c73\uff0c\u5230\u4e2d\u534812\u65f6\uff0c\u4e24\u4eba\u53c8\u76f8\u8ddd36\u5343\u7c73\uff0c\u6c42A\uff0eB\u4e24\u5730\u95f4\u7684\u8def\u7a0b\uff1f]
\u8bbeA\uff0cB\u4e24\u5730\u8def\u7a0b\u4e3aX
x-\uff08x/4\uff09=x-72
x=288
\u7b54\uff1aA,B\u4e24\u5730\u8def\u7a0b\u4e3a288m
1-X/3=2[1-3X/8]
X=2.4
\u5373\u505c\u7535\u4e862\uff0e4\u5c0f\u65f6\u3002
20.\u67d0\u5de5\u5382\u4eca\u5e74\u5171\u751f\u4ea7\u67d0\u79cd\u673a\u56682300\u53f0\uff0c\u4e0e\u53bb\u5e74\u76f8\u6bd4\uff0c\u4e0a\u534a\u5e74\u589e\u52a025%\uff0c\u4e0b\u534a\u5e74\u51cf\u5c1115%\uff0c\u95ee\u4eca\u5e74\u4e0b\u534a\u5e74\u751f\u4ea7\u4e86\u591a\u5c11\u53f0?
\u89e3\uff1a\u8bbe\u4e0b\u534a\u5e74X\u751f\u4ea7\u53f0\uff0c\u5219\u4e0a\u534a\u5e74\u751f\u4ea7[2300-X]\u53f0\u3002
21\u5c0f\u660e\u4e0e\u5c0f\u806a\u4e24\u4eba\u540c\u65f6\u5728\u540c\u4e00\u5546\u5e97\u4e70\u7cae\u98df\uff0c\u5c0f\u660e\u6bcf\u6b21\u8d2d\u4e70100\u5343\u514b\uff0c\u5c0f\u806a\u6bcf\u6b21\u7528\u53bb100\u5143\u3002\u4f46\u8fd9\u4e24\u6b21\u8d2d\u4e70\u7cae\u98df\u7684\u5355\u4ef7\u4e0d\u540c\u3002\u82e5\u89c4\u5b9a\uff1a\u4e24\u6b21\u8d2d\u4e70\u7cae\u98df\u7684\u5e73\u5747\u5355\u4ef7\u8c01\u4f4e\uff0c\u8c01\u7684\u8d2d\u6881\u65b9\u5f0f\u5408\u7b97\u3002\u5219\u4f60\u80fd\u5224\u65ad\u5c0f\u660e\u4e0e\u5c0f\u806a\u8c01\u7684\u8d2d\u6881\u65b9\u5f0f\u66f4\u5408\u7b97\u5417\uff1f
\u4e00\uff1a
\uff081\uff09\u7532\u4e59\u4e24\u961f\u5408\u4f5c\u6548\u73871/6\uff0c\u4e59\u4e19\u5408\u4f5c\u6548\u73871/10\uff0c\u7532\u4e19\u5408\u4f5c\u6548\u7387\uff082/3\uff09\u00f75=2/15
\u6240\u4ee5\u7532\u4e59\u4e19\u4e09\u961f\u5408\u4f5c\u6548\u7387\u4e3a\uff081/6+1/10+2/15\uff09\u00f72=1/5
\u7532\u961f\u5355\u72ec\u5b8c\u6210\u5168\u90e8\u5de5\u7a0b\u9700\u89811\u00f7\uff081/5-1/10\uff09=10\u5929
\u4e59\u961f\u5355\u72ec\u5b8c\u6210\u5168\u90e8\u5de5\u7a0b\u9700\u89811\u00f7\uff081/5-2/15\uff09=15\u5929
\u4e19\u961f\u5355\u72ec\u5b8c\u6210\u5168\u90e8\u5de5\u7a0b\u9700\u89811\u00f7\uff081/5-1/6\uff09=30\u5929
\uff082\uff09\u7532\u4e59\u65e5\u5de5\u8d44\u548c8700/6=1450\u5143\uff0c\u4e59\u4e19\u65e5\u5de5\u8d44\u548c9500/10=950\u5143\uff0c\u7532\u4e19\u65e5\u5de5\u8d44\u548c5500/5=1100\u5143
\u6240\u4ee5\u7532\u4e59\u4e19\u65e5\u5de5\u8d44\u548c\uff081450+950+1100\uff09\u00f72=1750\u5143
\u6240\u4ee5\u7532\u65e5\u5de5\u8d441750-950=800\u5143\uff0c\u4e59\u65e5\u5de5\u8d441750-1100=650\u5143\uff0c\u4e19\u65e5\u5de5\u8d441750-1450=300\u5143
\u6240\u4ee5\u7532\u961f\u5355\u72ec\u5b8c\u6210\u5168\u90e8\u5de5\u7a0b\u9700\u898110\u5929\uff0c\u8d39\u7528800\u00d710=8000\u5143
\u4e59\u961f\u5355\u72ec\u5b8c\u6210\u5168\u90e8\u5de5\u7a0b\u9700\u898115\u5929\uff0c\u8d39\u7528650\u00d715=9750\u5143
\u4e19\u961f\u5355\u72ec\u5b8c\u6210\u5168\u90e8\u5de5\u7a0b\u9700\u898130\u5929\uff0c\u8d39\u7528300\u00d730=9000\u5143
\u6240\u4ee5\uff0c\u82e5\u5de5\u671f\u8981\u6c42\u4e0d\u8d85\u8fc715\u5929\u5b8c\u6210\u5168\u90e8\u5de5\u7a0b\uff0c\u7532\u961f\u5355\u72ec\u5b8c\u6210\u6b64\u5de5\u7a0b\u82b1\u94b1\u6700\u5c11\u3002
\u6216\u2474\u5355\u72ec\u505a\uff0c\u4e09\u4e2a\u961f\u9700\u8981\u7684\u5929\u6570\u3002
\u7532\uff1a2\u00f7\uff081/6\uff0b2/3\u00f75\uff0d1/10\uff09\uff1d10\u5929\uff0c
\u4e59\uff1a1\u00f7\uff081/6\uff0d1/10\uff09\uff1d15\u5929\uff0c
\u4e19\uff1a1\u00f7\uff081/10\uff0d1/15\uff09\uff1d30\u5929\u3002
\u2475\u9996\u5148\u4e19\u961f\u4e0d\u80fd\u572815\u5929\u5185\u5b8c\u6210\uff0c\u56e0\u6b64\u6392\u9664\u4e19\u961f\u3002
\u6bcf\u4e24\u961f\u6bcf\u5929\u5de5\u8d44\u548c\uff1a
\u7532\u4e198700\u00f76\uff1d1450\u5143\uff1b\u4e59\u4e199500\u00f710\uff1d950\u5143\uff1b\u7532\u4e195500\u00f75\uff1d1100\u5143
\u7532\u4e59\u5355\u72ec\u6bcf\u5929\u5de5\u8d44\uff1a
\u7532\u961f\uff1a\uff081100\uff0b1450\uff0d950\uff09\u00f72\uff1d800\u5143\uff1b\u4e59\u961f\uff1a1450\uff0d800\uff1d650\u5143
\u56e0\u4e3a800\u00d710\uff1c650\u00d715\uff0c\u6240\u4ee5\u627e\u7532\u961f\u82b1\u94b1\u6700\u5c11\u3002
\u4e8c\uff1a\u89e3\uff1a\u8bbe\u62db\u8058\u7532\u79cd\u5de5\u79cd\u7684\u5de5\u4eba\u662fx\u4eba\uff0c\u4e59\u79cd\u5de5\u79cd\u4eba\u6570nx\uff08n\uff1d2)\uff0c\u6240\u62db\u8058\u5de5\u4eba\u5171\u9700\u4ed8\u6708\u5de5\u8d44y\u5143
\u90a3\u4e48y\uff1d600x+1000nx
\u56e0\u4e3a\u968f\u7740\u4e59\u79cd\u5de5\u79cd\u4eba\u6570\u589e\u52a0\uff0c\u6240\u4ee5\u5f53\u4e59\u79cd\u5de5\u79cd\u4eba\u6570\u662f\u7532\u79cd\u5de5\u79cd\u4eba\u6570\u76842\u500d\uff08n\uff1d2\uff09\u65f6\uff0c\u6bcf\u6708\u6240\u4ed8\u7684\u5de5\u8d44\u6700\u5c11\u3002\u6240\u4ee5\u7532\u79cd\u5de5\u79cd\u62db\u805850\u4eba\uff0c\u4e59\u79cd\u5de5\u79cd\u62db\u8058100\u4eba\u53ef\u4f7f\u6bcf\u6708\u6240\u4ed8\u7684\u5de5\u8d44\u6700\u5c11\uff0c\u6700\u5c11\u5de5\u8d44\u662f130000\u5143\u3002
\u4e09\uff1a1008\uff1e100\u00d79=900\u5143
1314\u00f79=112
\u89e3\uff1a\u8bbe\u7532\u65c5\u6e38\u56e2\u6709x\u4eba\uff0c\u4e59\u65c5\u6e38\u56e2\u6709112-x\u4eba\u3002
11x+13\uff08112-x\uff09=1314
11x+1456-13x=1314
-2x+1456=1314
-2x=-142
x=71
112-x=112-71=41\uff08\u4eba\uff09
\u7b54\uff1a\u7532\u65c5\u6e38\u56e2\u670971\u4eba\uff0c\u4e59\u65c5\u6e38\u56e2\u670941\u4eba\u3002
\u56db\uff1a
\u8bbe\u6bcf\u5206\u949f\u589e\u52a0\u65c5\u5ba2\u4e3ax
(a+30x)/30=(a+10x)/20
\u5f97\uff1ax=a/30
\u6bcf\u4e2a\u68c0\u7968\u53e3\u6bcf\u5206\u949f\u68c0\u7968\u4eba\u6570\u4e3a\uff1aa/15
\u9700\u8981\u5f97\u68c0\u7968\u53e3\u4e2a\u6570\u4e3a\uff1a[a+5*(a/15)]/[(a/15)*5]=4\u4e2a\u81f3\u4e8e\u8ffd\u52a0\u60ac\u8d4f\u5206\u4e0e\u5426\u968f\u4f60\u5427
22\u67d0\u5355\u4f4d\u65b0\u76d6\u4e86\u4e00\u5ea7\u697c\u623f,\u8981\u4ece\u76f8\u8ddd132\u7c73\u5904\u7684\u81ea\u6765\u6c34\u4e3b\u7ba1\u9053\u94fa\u8bbe\u6c34\u7ba1,\u73b0\u67098\u7c73\u957f\u4e0e5\u7c73\u957f\u7684\u4e24\u79cd\u89c4\u683c\u7684\u6c34\u7ba1\u53ef\u4f9b\u9009\u7528\u3002\u8bf7\u4f60\u8bbe\u8ba1\u65b9\u6848\uff0c\u5982\u4f55\u9009\u53d6\u8fd9\u4e24\u79cd\u6c34\u7ba1\uff0c\u624d\u80fd\u6070\u597d\u4ece\u4e3b\u7ba1\u9053\u94fa\u8bbe\u5230\u8fd9\u5ea7\u697c\u623f\uff1f\u8fd9\u6837\u7684\u65b9\u6848\u6709\u51e0\u79cd\uff1f\u82e58\u7c73\u957f\u7684\u6c34\u7ba1\u6bcf\u683950\u5143\uff0c5\u7c73\u957f\u7684\u6c34\u7ba1\u6bcf\u683935\u5143\uff0c\u9009\u54ea\u79cd\u65b9\u6848\u6700\u7701\u94b1
\u89e3\uff1a\u8bbe8\u7c73\u7684\u6c34\u7ba1X\u6839\uff0c5\u7c73\u7684\u6c34\u7ba1Y\u6839
8x+5y=132
\u89e3\u5f97\uff1a
x=4 y=20
x=9 y=12
x=14 y=4
\u7531\u9898\u610f\u5f97\uff0c\u56e0\u4e3a\u8981\u4f7f\u6700\u7701\u94b1\uff0c\u6240\u4ee5\u5f538\u7c73\u957f\u7684\u6c34\u7ba114\u6839\uff0c5\u7c73\u957f\u7684\u6c34\u7ba14\u6839\u65f6\u6700\u7701\u94b1\u3002
23\u5df2\u77e5\u65b9\u7a0b\u7ec4ax+by=c
a'x+b'y=c\u2019
\u4ed6\u7684\u89e3\u4e3ax=3
y=4
\u6c42\u65b9\u7a0b\u7ec43ax+2by=5c \u7684\u89e3
3a'+2b'y=5c'
3ax+2by=5c
3a'+2b'y=5c' \u4e24\u4e2a\u5f0f\u5b50\u90fd\u9664\u4ee55
\u5f973/5ax+2/5by=c
3/5a'x+2/5b'y=c'
\u628ax=3
y=4\u5206\u522b\u5e26\u5165\u539f\u65b9\u7a0b\u7ec4
3/5xa+2/5yb=c
3a + 4b=c
3/5ya'+2/5yb'=c'
3a' + 4b'=c\u2019
\u56e0\u4e3a\u7ed3\u679c\u76f8\u540c\uff0c\u5b57\u6bcd\u76f8\u540c\uff0c\u6240\u4ee5\u7cfb\u6570\u76f8\u540c\u3002
3/5x=3 x=5 2/5y=4 y=10
24\u4e3a\u4e86\u62c9\u52a8\u5185\u9700\uff0c\u5c71\u4e1c\u7701\u542f\u52a8\u4e86\u201c\u5bb6\u7535\u4e0b\u4e61\u201d\u6d3b\u52a8\u3002\u67d0\u5bb6\u7535\u516c\u53f8\u9500\u552e\u7ed9\u519c\u6237\u7684\u2160\u578b\u51b0\u7bb1\u548c\u2161\u578b\u51b0\u7bb1\u5728\u542f\u52a8\u6d3b\u52a8\u524d\u4e00\u4e2a\u6708\u5171\u552e\u51fa960\u53f0\uff0c\u542f\u52a8\u6d3b\u52a8\u540e\u7684\u7b2c\u4e00\u4e2a\u6708\u9500\u552e\u7ed9\u519c\u6237\u7684\u2160\u578b\u51b0\u7bb1\u548c\u2161\u578b\u51b0\u7bb1\u7684\u6570\u91cf\u5206\u522b\u6bd4\u542f\u52a8\u6d3b\u52a8\u524d\u4e00\u4e2a\u6708\u589e\u957f30%\u300125%\uff0c\u8fd9\u4e24\u79cd\u578b\u53f7\u7684\u51b0\u7bb1\u5171\u552e\u51fa1228\u53f0\u3002
\uff081\uff09\u5728\u542f\u52a8\u6d3b\u52a8\u524d\u4e00\u4e2a\u6708\uff0c\u9500\u552e\u7ed9\u519c\u6237\u7684\u2160\u578b\u51b0\u7bb1\u548c\u2161\u578b\u51b0\u7bb1\u5206\u522b\u4e3a\u591a\u5c11\u53f0\uff1f
\uff082\uff09\u82e5\u2160\u578b\u51b0\u7bb1\u6bcf\u53f0\u4ef7\u683c\u662f2298\u5143\uff0c\u2161\u578b\u51b0\u7bb1\u6bcf\u53f0\u4ef7\u683c\u662f1999\u5143\u3002\u6839\u636e\u201c\u5bb6\u7535\u4e0b\u4e61\u201d\u7684\u6709\u5173\u653f\u7b56\uff0c\u653f\u5e9c\u6309\u6bcf\u53f0\u51b0\u7bb1\u4ef7\u683c\u768413%\u7ed9\u8d2d\u4e70\u51b0\u7bb1\u7684\u519c\u6237\u8865\u8d34\uff0c\u95ee\u542f\u52a8\u6d3b\u52a8\u540e\u7684\u7b2c\u4e00\u4e2a\u6708\u9500\u552e\u7ed9\u519c\u6237\u76841228\u53f0\u2160\u578b\u548c\u2161\u578b\u51b0\u7bb1\uff0c\u653f\u5e9c\u5171\u8865\u8d34\u4e86\u591a\u5c11\u5143\uff1f\uff08\u7ed3\u679c\u4fdd\u75592\u4e2a\u6709\u6548\u6570\u5b57\uff09
,\u89e3\uff1b\u8bbe\u542f\u52a8\u6d3b\u52a8\u524d\u4e00\u4e2a\u6708\u552e\u51fa\u7b2c\u4e00\u79cd\u51b0\u7bb1x\u53f0\u90a3\u4e48\u7b2c2\u79cd\u578b\u53f7\u7684\u552e\u51fa\u4e86\u53f0\u3002
\u7136\u540e\u5217\u5f0f\uff1bx\u4e58\u4ee5+\u4e58\u4ee5=1228
x=560
\u7b54\uff1b\u5728\u542f\u52a8\u6d3b\u52a8\u524d\u4e00\u4e2a\u6708\uff0c\u9500\u552e\u7ed9\u519c\u6237\u7684\u2160\u578b\u51b0\u7bb1\u4e3a560\u53f0\uff0c\u9500\u552e\u7ed9\u519c\u6237\u7684\u2161\u578b\u51b0\u7bb1\u4e3a960-560=400\u53f0\u3002
,\u6839\u636e\u9898\u610f\uff0c\u9996\u5148\u7b97\u51fa\u542f\u52a8\u6d3b\u52a8\u540e\u7684\u7b2c\u4e00\u4e2a\u6708\u7684\u4e24\u79cd\u51b0\u7bb1\u7684\u9500\u552e\u91cf\u3002
\u542f\u52a8\u6d3b\u52a8\u540e\u7684\u7b2c\u4e00\u4e2a\u6708\u2160\u578b\u51b0\u7bb1\u7684\u9500\u552e\u91cf\uff1a560x\uff081+30%\uff09=728\u53f0
\u2160\u578b\u51b0\u7bb1\u519c\u6237\u8865\u8d34\u4e3a\uff1a728x=217482.72\u5143
\u542f\u52a8\u6d3b\u52a8\u540e\u7684\u7b2c\u4e00\u4e2a\u6708\u2161\u578b\u51b0\u7bb1\u7684\u9500\u552e\u91cf\uff1a400X=500\u53f0
\u2161\u578b\u51b0\u7bb1\u519c\u6237\u8865\u8d34\u4e3a:500x=129935\u5143
\u653f\u5e9c\u5171\u8865\u8d34\u4e86\u591a\u5c11\u5143\uff1a2174852.72+129935=2304787.72\u4fdd\u7559\u4e24\u4e2a\u6709\u6548\u6570\u5b57\u4e3a2300000
25\u4e3a\u6ee1\u8db3\u5e02\u6c11\u5bf9\u4f18\u8d28\u6559\u80b2\u7684\u9700\u6c42\uff0c\u67d0\u4e2d\u5b66\u51b3\u5b9a\u6539\u53d8\u529e\u5b66\u6761\u4ef6\uff0c\u8ba1\u5212\u62c6\u9664\u4e00\u90e8\u5206\u65e7\u6821\u820d\u3001\u5efa\u9020\u65b0\u6821\u820d\u3002\u62c6\u9664\u65e7\u6821\u820d\u6bcf\u5e73\u7c73\u970080\u5143\uff0c\u5efa\u9020\u65b0\u6821\u820d\u6bcf\u5e73\u7c73\u9700700\u5143\u3002\u8ba1\u5212\u5728\u5e74\u5185\u62c6\u9664\u65e7\u6821\u820d\u51717200\u5e73\u65b9\u7c73\uff0c\u5728\u5b9e\u65bd\u4e2d\u4e3a\u6269\u5927\u7eff\u5316\u9762\u79ef\uff0c\u65b0\u5efa\u6821\u820d\u53ea\u5b8c\u6210\u4e8680%\uff0c\u800c\u62c6\u9664\u6821\u820d\u8d85\u8fc710%\uff0c\u7ed3\u679c\u6070\u597d\u5b8c\u6210\u4e86\u539f\u8ba1\u5212\u7684\u62c6\u3001\u5efa\u7684\u603b\u9762\u79ef\u3002 1.\u6c42\u539f\u6765\u8ba1\u5212\u62c6\u5efa\u9762\u79ef\u4e2a\u591a\u5c11\u5e73\u65b9\u7c73\uff1f 2.\u82e5\u7eff\u53161\u5e73\u65b9\u7c73\u9700200\u5143\uff0c\u90a3\u4e48\u5b9e\u9645\u5b8c\u6210\u62c6\u3001\u5efa\u5de5\u7a0b\u4e2d\u7ed3\u4f59\u8d44\u91d1\u80fd\u7528\u6765\u7eff\u5316\u5927\u7ea6\u591a\u5c11\u5e73\u65b9\u7c73\uff1f
\u89e3\uff1a\u8bbe\u62c6x\u5e73\u65b9\u7c73\uff0c\u65b0\u5efay\u5e73\u65b9\u7c73\uff0c\u5219\u6709\u7b49\u5f0f\uff1a
x+y=7200.............(1)
1.1x+0.8y=7200.......(2)
(2)-(1)\u5f97 0.1x-0.2y=0,\u6545x=2y,\u4ee3\u5165\uff081\uff09\u5f0f\u5f97 3y=7200
\u2234y=2400m²,x=7200-2400=4800m²
\u5373\u539f\u8ba1\u5212\u62c64800m²,\u65b0\u5efa2400m².
\u539f\u8ba1\u5212\u8d44\u91d14800\u00d780+2400\u00d7700=2064000\u5143=206.4\u4e07\u5143
\u5b9e\u9645\u7528\u8d44\u91d11.1\u00d74800\u00d780+0.8\u00d72400\u00d7700=1766400\u5143=176.64\u4e07\u5143
\u8282\u7ea62064000-1766400=297600\u5143
\u6545\u53ef\u7eff\u5316\u9762\u79ef297600/200=1488m²
26\u67d0\u4e2d\u5b66\u5efa\u4e00\u680b4\u5c42\u7684\u6559\u5b66\u5927\u697c\uff0c\u6bcf\u5c42\u697c\u67098\u95f4\u6559\u5ba4\uff0c\u8fdb\u8fd9\u680b\u5927\u697c\u5171\u6709\u56db\u9053\u95e8\uff0c\u5176\u4e2d\u4e24\u9053\u6b63\u95e8\u5927\u5c0f\u76f8\u540c\uff0c\u4e24\u9053\u4fa7\u95e8\u4e5f\u5927\u5c0f\u76f8\u540c\u3002\u5b89\u5168\u68c0\u67e5\u4e2d\uff0c\u5bf94\u9053\u95e8\u8fdb\u884c\u4e86\u6d4b\u8bd5\uff1a\u5f53\u540c\u65f6\u5f00\u542f\u4e00\u9053\u6b63\u95e8\u548c\u4e24\u9053\u4fa7\u95e8\u65f6\uff0c2\u5206\u949f\u5185\u53ef\u4ee5\u901a\u8fc7560\u540d\u5b66\u751f\uff1b\u5f53\u540c\u65f6\u5f00\u542f\u4e00\u9053\u6b63\u95e8\u548c\u4e00\u9053\u4fa7\u95e8\u65f6\uff0c4\u5206\u949f\u5185\u53ef\u4ee5\u901a\u8fc7800\u540d\u5b66\u751f\u3002 1.\u6c42\u5e73\u5747\u6bcf\u5206\u949f\u4e00\u9053\u6b63\u95e8\u548c\u4e00\u9053\u4fa7\u95e8\u5404\u53ef\u4ee5\u901a\u8fc7\u591a\u5c11\u540d\u5b66\u751f? 2.\u68c0\u67e5\u4e2d\u53d1\u73b0\uff0c\u7d27\u6025\u60c5\u51b5\u65f6\u56e0\u5b66\u751f\u62e5\u6324\uff0c\u51fa\u95e8\u7684\u6548\u7387\u964d\u4f4e20%\u3002\u5b89\u5168\u68c0\u67e5\u89c4\u5b9a\uff0c\u5728\u7d27\u6025\u60c5\u51b5\u4e0b\u5168\u5927\u697c\u5b66\u751f\u5e94\u57285\u5206\u949f\u5185\u901a\u8fc7\u8fd94\u9053\u95e8\u3002\u5047\u8bbe\u8fd9\u680b\u6559\u5b66\u5927\u697c\u6bcf\u95f4\u6559\u5ba4\u6700\u591a\u670945\u540d\u5b66\u751f\uff0c\u95ee\uff1a\u5efa\u9020\u8fd94\u9053\u95e8\u662f\u5426\u7b26\u5408\u89c4\u5b9a?\u8bf7\u8bf4\u660e\u7406\u7531\u3002
\u8bbe\u5e73\u5747\u6bcf\u5206\u949f\u4e00\u9053\u6b63\u95e8\u548c\u4e00\u9053\u4fa7\u95e8\u5404\u53ef\u4ee5\u901a\u8fc7X\u3001Y\u540d\u5b66\u751f
\u5219 \uff08X+2Y\uff09*2=560
\uff08X+Y\uff09*4=800
\u5f97\u5230 \u5c0f\u95e8 Y=80\uff0c\u5927\u95e8X=120
\u7b2c\u4e8c\u95ee
\u5168\u697c\u603b\u4eba\u6570\u662f 4*8*45=1440
\u800c\u56db\u9053\u95e85\u5206\u5185\u80fd\u901a\u8fc7\u7684\u4eba\u6570\u4e3a=\uff082X+2Y\uff09*5*\uff081-20%\uff09=1600\u4eba
\u6240\u4ee5\u662f\u5408\u683c\u7684
27\u738b\u5973\u58eb\u770b\u4e2d\u7684\u5546\u54c1\u5728\u7532\u3001\u4e59\u4e24\u5546\u573a\u4ee5\u76f8\u540c\u7684\u4ef7\u683c\u9500\u552e\uff0c\u4e24\u5546\u573a\u91c7\u7528\u7684\u4fc3\u9500\u65b9\u5f0f\u4e0d\u540c\uff0c\u5728\u7532\u5546\u573a\u4e00\u6b21\u6027\u8d2d\u7269\u8d85\u8fc7100\u5143\uff0c\u8d85\u8fc7\u7684\u90e8\u52068\u6298\u4f18\u60e0\uff1b\u5728\u4e59\u5546\u573a\u4e00\u6b21\u6027\u8d2d\u7269\u8d85\u8fc750\u5143\uff0c\u8d85\u8fc7\u7684\u90e8\u52069\u6298\u4f18\u60e0\uff0c\u90a3\u4e48\u5979\u5728\u7532\u5546\u573a\u8d2d\u7269\u8d85\u8fc7\u591a\u5c11\u5143\u5c31\u6bd4\u5728\u4e59\u5546\u573a\u8d2d\u7269\u4f18\u60e0\uff1f
\u89e3 \uff1a\u8bbe\u738b\u5973\u58eb\u5728\u7532\u5546\u573a\u8d2d\u7269\u8d85\u8fc7X\u5143\u5c31\u6bd4\u5728\u4e59\u5546\u573a\u8d2d\u7269\u4f18\u60e0\u3002
(X-100)\u00d780\uff05\uff0b100\uff1c50\uff0b(X\uff0d50)\u00d790\uff05
0.8X-80\uff0b100\uff1c50\uff0b0.9X\uff0d45
\u79fb\u9879 \ufe630.1X\uff1c\uff0d15
X\uff1e150
28\u52a8\u7269\u56ed\u91cc\uff0c\u4e24\u53ea\u72d2\u72d2\u5728\u73a9\u8df7\u8df7\u677f\uff0c\u4f53\u91cd33kg\u7684\u5927\u72d2\u72d2\u628a\u5c0f\u72d2\u72d2\u7fd8\u4e0a\u4e86\u5929\uff0c\u5413\u7684\u5c0f\u72d2\u72d2\u76f4\u53eb\uff0c\u8fd9\u65f6\uff0c\u4e00\u76f4\u4f53\u91cd\u662f\u5c0f\u72d2\u72d2\u4e00\u534a\u7684\u5c0f\u7334\u5b50\u4ece\u6811\u4e0a\u8df3\u5230\u4e86\u5c0f\u72d2\u72d2\u7684\u8eab\u4e0a\uff0c\u53ea\u89c1\u5927\u72d2\u72d2\u79bb\u5f00\u4e86\u5730\u9762\uff0c\u88ab\u7fd8\u4e86\u8d77\u6765\uff0c\u4f60\u77e5\u9053\u5c0f\u7334\u5b50\u6709\u591a\u91cd\u5417\uff1f
\u89e3\uff1a\u8bbe\u5c0f\u7334\u5b50\u7684\u4f53\u91cd\u4e3aX kg,
33\u2264X\uff0b2X
33\u22643X
X\u226511
\u6545X\u226511kg
29. \u4e00\u4ef6\u5de5\u7a0b\uff0c\u7532\u72ec\u505a\u970015\u5929\u5b8c\u6210\uff0c\u4e59\u72ec\u505a\u970012\u5929\u5b8c\u6210\uff0c\u73b0\u5148\u7531\u7532\u3001\u4e59\u5408\u4f5c3\u5929\u540e\uff0c\u7532\u6709\u5176\u4ed6\u4efb\u52a1\uff0c\u5269\u4e0b\u5de5\u7a0b\u7531\u4e59\u5355\u72ec\u5b8c\u6210\uff0c\u95ee\u4e59\u8fd8\u8981\u51e0\u5929\u624d\u80fd\u5b8c\u6210\u5168\u90e8\u5de5\u7a0b\uff1f
\u5206\u6790\u8bbe\u5de5\u7a0b\u603b\u91cf\u4e3a\u5355\u4f4d1\uff0c\u7b49\u91cf\u5173\u7cfb\u4e3a\uff1a\u7532\u5b8c\u6210\u5de5\u4f5c\u91cf+\u4e59\u5b8c\u6210\u5de5\u4f5c\u91cf=\u5de5\u4f5c\u603b\u91cf\u3002
\u3000\u3000\u89e3\uff1a\u8bbe\u4e59\u8fd8\u9700x\u5929\u5b8c\u6210\u5168\u90e8\u5de5\u7a0b\uff0c\u8bbe\u5de5\u4f5c\u603b\u91cf\u4e3a\u5355\u4f4d1\uff0c\u7531\u9898\u610f\u5f97\uff0c(115+112)\u00d73+x12=1\uff0c\u3000\u3000\u89e3\u8fd9\u4e2a\u65b9\u7a0b\uff0c15+14+x12=1 \u3000\u3000\u3000\u3000\u3000
12+15+5x=60 5x=33\u3000\u3000\u3000\u2234 x=335=635\u3000\u3000\u7b54\uff1a\u7565.
30. \u7532\u3001\u4e59\u4e24\u7ad9\u76f8\u8ddd480\u516c\u91cc\uff0c\u4e00\u5217\u6162\u8f66\u4ece\u7532\u7ad9\u5f00\u51fa\uff0c\u6bcf\u5c0f\u65f6\u884c90\u516c\u91cc\uff0c\u4e00\u5217\u5feb\u8f66\u4ece\u4e59\u7ad9\u5f00\u51fa\uff0c\u6bcf\u5c0f\u65f6\u884c140\u516c\u91cc\u3002
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\u3000\u3000\uff082\uff09\u4e24\u8f66\u540c\u65f6\u5f00\u51fa\uff0c\u76f8\u80cc\u800c\u884c\u591a\u5c11\u5c0f\u65f6\u540e\u4e24\u8f66\u76f8\u8ddd600\u516c\u91cc\uff1f
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\u3000\u3000\uff084\uff09\u4e24\u8f66\u540c\u65f6\u5f00\u51fa\u540c\u5411\u800c\u884c\uff0c\u5feb\u8f66\u5728\u6162\u8f66\u7684\u540e\u9762\uff0c\u591a\u5c11\u5c0f\u65f6\u540e\u5feb\u8f66\u8ffd\u4e0a\u6162\u8f66\uff1f
\u3000\u3000\uff085\uff09\u6162\u8f66\u5f00\u51fa1\u5c0f\u65f6\u540e\u4e24\u8f66\u540c\u5411\u800c\u884c\uff0c\u5feb\u8f66\u5728\u6162\u8f66\u540e\u9762\uff0c\u5feb\u8f66\u5f00\u51fa\u540e\u591a\u5c11\u5c0f\u65f6\u8ffd\u4e0a\u6162\u8f66\uff1f
\u3000\u3000\u6b64\u9898\u5173\u952e\u662f\u8981\u7406\u89e3\u6e05\u695a\u76f8\u5411\u3001\u76f8\u80cc\u3001\u540c\u5411\u7b49\u7684\u542b\u4e49\uff0c\u5f04\u6e05\u884c\u9a76\u8fc7\u7a0b\u3002\u6545\u53ef\u7ed3\u5408\u56fe\u5f62\u5206\u6790\u3002
\uff081\uff09\u5206\u6790\uff1a\u76f8\u9047\u95ee\u9898\uff0c\u753b\u56fe\u8868\u793a\u4e3a\uff1a
\u7b49\u91cf\u5173\u7cfb\u662f\uff1a\u6162\u8f66\u8d70\u7684\u8def\u7a0b+\u5feb\u8f66\u8d70\u7684\u8def\u7a0b=480\u516c\u91cc\u3002\u3000\u3000
\u89e3\uff1a\u8bbe\u5feb\u8f66\u5f00\u51fax\u5c0f\u65f6\u540e\u4e24\u8f66\u76f8\u9047\uff0c\u7531\u9898\u610f\u5f97\uff0c140x+90(x+1)=480 \u3000\u3000
\u89e3\u8fd9\u4e2a\u65b9\u7a0b\uff0c230x=390 \u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u2234 x=11623\u7b54\uff1a\u7565.
\u5206\u6790\uff1a\u76f8\u80cc\u800c\u884c\uff0c\u753b\u56fe\u8868\u793a\u4e3a\uff1a\u3000\u3000
\u7b49\u91cf\u5173\u7cfb\u662f\uff1a\u4e24\u8f66\u6240\u8d70\u7684\u8def\u7a0b\u548c+480\u516c\u91cc=600\u516c\u91cc\u3002
\u3000\u3000\u89e3\uff1a\u8bbex\u5c0f\u65f6\u540e\u4e24\u8f66\u76f8\u8ddd600\u516c\u91cc\uff0c\u7531\u9898\u610f\u5f97\uff0c(140+90)x+480=600\u89e3\u8fd9\u4e2a\u65b9\u7a0b\uff0c230x=120 \u2234 x=1223\u3000
\u3000\u3000\uff083\uff09\u5206\u6790\uff1a\u7b49\u91cf\u5173\u7cfb\u4e3a\uff1a\u5feb\u8f66\u6240\u8d70\u8def\u7a0b\uff0d\u6162\u8f66\u6240\u8d70\u8def\u7a0b+480\u516c\u91cc=600\u516c\u91cc\u3002
\u3000\u3000\u89e3\uff1a\u8bbex\u5c0f\u65f6\u540e\u4e24\u8f66\u76f8\u8ddd600\u516c\u91cc\uff0c\u7531\u9898\u610f\u5f97\uff0c(140\uff0d90)x+480=600 \u3000\u3000 50x=120\u3000\u2234 x=2.4 \u3000\u3000\u7b54\uff1a\u7565.
\u5206\u6790\uff1a\u8ffd\u53ca\u95ee\u9898\uff0c\u753b\u56fe\u8868\u793a\u4e3a\uff1a
\u7b49\u91cf\u5173\u7cfb\u4e3a\uff1a\u5feb\u8f66\u7684\u8def\u7a0b=\u6162\u8f66\u8d70\u7684\u8def\u7a0b+480\u516c\u91cc\u3002 \u3000\u3000
\u89e3\uff1a\u8bbex\u5c0f\u65f6\u540e\u5feb\u8f66\u8ffd\u4e0a\u6162\u8f66\u3002\u7531\u9898\u610f\u5f97\uff0c140x=90x+480 \u3000\u89e3\u8fd9\u4e2a\u65b9\u7a0b\uff0c50x=480 \u3000\u2234 x=9.6\u7b54\uff1a\u7565.
\u5206\u6790\uff1a\u8ffd\u53ca\u95ee\u9898\uff0c\u7b49\u91cf\u5173\u7cfb\u4e3a\uff1a\u5feb\u8f66\u7684\u8def\u7a0b=\u6162\u8f66\u8d70\u7684\u8def\u7a0b+480\u516c\u91cc\u3002
\u89e3\uff1a\u8bbe\u5feb\u8f66\u5f00\u51fax\u5c0f\u65f6\u540e\u8ffd\u4e0a\u6162\u8f66\u3002\u7531\u9898\u610f\u5f97\uff0c140x=90(x+1)+480 \u3000 50x=570 \u3000\u89e3\u5f97\uff0c x=11.4 \u3000\u3000
31\u4e00\u5bb6\u5546\u5e97\u5c06\u67d0\u79cd\u670d\u88c5\u6309\u8fdb\u4ef7\u63d0\u9ad840%\u540e\u6807\u4ef7\uff0c\u53c8\u4ee58\u6298\u4f18\u60e0\u5356\u51fa\uff0c\u7ed3\u679c\u6bcf\u4ef6\u4ecd\u83b7\u522915\u5143\uff0c\u8fd9\u79cd\u670d\u88c5\u6bcf\u4ef6\u7684\u8fdb\u4ef7\u662f\u591a\u5c11\uff1f
\u5206\u6790\uff1a\u63a2\u7a76\u9898\u76ee\u4e2d\u9690\u542b\u7684\u6761\u4ef6\u662f\u5173\u952e\uff0c\u53ef\u76f4\u63a5\u8bbe\u51fa\u6210\u672c\u4e3aX\u5143
\u8fdb\u4ef7\u6298\u6263\u7387\u6807\u4ef7\u4f18\u60e0\u4ef7\u5229\u6da6
x\u51438\u6298\uff081+40%\uff09x\u514380%\uff081+40%\uff09x 15\u5143
\u7b49\u91cf\u5173\u7cfb\uff1a\uff08\u5229\u6da6=\u6298\u6263\u540e\u4ef7\u683c\u2014\u8fdb\u4ef7\uff09\u6298\u6263\u540e\u4ef7\u683c\uff0d\u8fdb\u4ef7=15
\u89e3\uff1a\u8bbe\u8fdb\u4ef7\u4e3aX\u5143\uff0c80%X\uff081+40%\uff09\u2014X=15\uff0cX=125 \u7b54\uff1a\u7565.
32. \u67d0\u540c\u5b66\u628a250\u5143\u94b1\u5b58\u5165\u94f6\u884c\uff0c\u6574\u5b58\u6574\u53d6\uff0c\u5b58\u671f\u4e3a\u534a\u5e74\u3002\u534a\u5e74\u540e\u5171\u5f97\u672c\u606f\u548c252.7\u5143\uff0c\u6c42\u94f6\u884c\u534a\u5e74\u671f\u7684\u5e74\u5229\u7387\u662f\u591a\u5c11\uff1f\uff08\u4e0d\u8ba1\u5229\u606f\u7a0e\uff09
\u5206\u6790\uff1a\u7b49\u91cf\u5173\u7cfb\uff1a\u672c\u606f\u548c=\u672c\u91d1\u00d7\uff081+\u5229\u7387\uff09\u89e3\uff1a\u8bbe\u534a\u5e74\u671f\u7684\u5b9e\u9645\u5229\u7387\u4e3ax\uff0c250\uff081+x\uff09=252.7\uff0cx=0.0108
\u6240\u4ee5\u5e74\u5229\u7387\u4e3a0.0108\u00d72=0.0216
33\u3001\u7532\u3001\u4e59\u4e24\u4eba\u5206\u522b\u4ece\u76f8\u8ddd30\u5343\u7c73\u7684A\u3001B\u4e24\u5730\u540c\u65f6\u76f8\u5411\u800c\u884c\uff0c\u7ecf\u8fc73\u5c0f\u65f6\u540e\u76f8\u8ddd3\u5343\u7c73\uff0c\u518d\u7ecf\u8fc72\u5c0f\u65f6\uff0c\u7532\u5230B\u5730\u6240\u5269\u8def\u7a0b\u662f\u4e59\u5230A\u5730\u6240\u5269\u8def\u7a0b\u76842\u500d\uff0c\u6c42\u7532\u3001\u4e59\u4e24\u4eba\u7684\u901f\u5ea6\uff0e
\u89e3\u6790\uff1a \u8bbe\u7532\u3001\u4e59\u7684\u901f\u5ea6\u5206\u522b\u4e3ax\u5343\u7c73/\u65f6\u548cy\u5343\u7c73/\u65f6\uff0e\u7b2c\u4e00\u79cd\u60c5\u51b5\uff1a\u7532\u3001\u4e59\u4e24\u4eba\u76f8\u9047\u524d\u8fd8\u76f8\u8ddd3\u5343\u7c73\uff0e\u6839\u636e\u9898\u610f\uff0c\u5f97
\u7b2c\u4e8c\u79cd\u60c5\u51b5\uff1a\u7532\u3001\u4e59\u4e24\u4eba\u662f\u76f8\u9047\u540e\u76f8\u8ddd3\u5343\u7c73\uff0e\u6839\u636e\u9898\u610f\uff0c\u5f97
\u7b54\uff1a\u7532\u3001\u4e59\u7684\u901f\u5ea6\u5206\u522b\u4e3a4\u5343\u7c73/\u65f6\u548c5\u5343\u7c73/\u65f6\uff1b\u6216\u7532\u3001\u4e59\u7684\u901f\u5ea6 \u5206\u522b\u4e3a \u5343\u7c73/\u65f6\u548c \u5343\u7c73/\u65f6\uff0e
\u88e4\u5b50\u624d\u80fd\u914d\u5957\uff0c\u7528360\u7c73\u751f\u4ea7\u4e0a\u8863\uff0c240\u7c73\u751f\u4ea7\u88e4\u5b50\u624d\u80fd\u914d\u5957\uff0c\u5171\u80fd\u751f\u4ea7240\u5957\u30024\uff0e\u67d0\u5546\u573a\u6309\u5b9a\u4ef7\u9500\u552e\u67d0\u79cd\u7535\u5668\u65f6\uff0c\u6bcf\u53f0\u53ef\u83b7\u522948\u5143\uff0c\u6309\u5b9a\u4ef7\u7684\u4e5d\u6298\u9500\u552e\u8be5\u7535\u56686\u53f0\u4e0e\u5c06\u5b9a\u4ef7\u964d\u4f4e30\u5143\u9500\u552e\u8be5\u7535\u56689\u53f0\u6240\u83b7\u5f97\u7684\u5229\u6da6\u76f8\u7b49\uff0e\u6c42\u8be5\u7535\u5668\u6bcf\u53f0\u7684\u8fdb\u4ef7\u3001\u5b9a\u4ef7\u5404\u662f\u591a\u5c11\u5143\uff1f 4\uff0e\u89e3\uff1a\u8bbe\u8be5\u7535\u5668\u6bcf\u53f0\u7684\u8fdb\u4ef7\u4e3ax\u5143\uff0c\u5b9a\u4ef7\u4e3ay\u5143\uff0e\u7b54\uff1a\u8be5\u7535\u5668\u6bcf\u53f0\u7684\u8fdb\u4ef7\u662f162\u5143\uff0c\u5b9a\u4ef7\u662f210\u5143\uff0e\u89e3\u6790\uff1a\u6253\u4e5d\u6298\u662f\u6309\u5b9a\u4ef7\u768490%\u9500\u552e\uff0c\u5229\u6da6=\u552e\u4ef7\uff0d\u8fdb\u4ef7\uff0e5\uff0e\u89e3\uff1a\u8bbe\u7528xm3\u6728\u6599\u505a\u684c\u9762\uff0cym3\u6728\u6599\u505a\u684c\u817f\uff0e\uff082\uff096\u00d750=300\uff08\u5f20\uff09\uff0e\u7b54\uff1a\u75286m3\u6728\u6599\u505a\u684c\u9762\uff0c4m3\u6728\u6599\u505a\u684c\u817f\u6070\u597d\u80fd\u914d\u6210\u65b9\u684c\uff0c\u80fd\u914d\u6210300\u5f20\u65b9\u684c\uff0e5\uff0e\u4e00\u5f20\u65b9\u684c\u75311\u4e2a\u684c\u9762\uff0c4\u6761\u684c\u817f\u7ec4\u6210\uff0c\u5982\u679c1m3\u6728\u6599\u53ef\u4ee5\u505a\u65b9\u684c\u7684\u684c\u976250\u4e2a\u6216\u505a\u684c\u817f300\u6761\uff0c\u73b0\u670910m3\u6728\u6599\uff0c\u90a3\u4e48\u7528\u591a\u5c11\u7acb\u65b9\u7c73\u7684\u6728\u6599\u505a\u684c\u9762\uff0c\u591a\u5c11\u7acb\u65b9\u7c73\u7684\u6728\u6599\u505a\u684c\u817f\uff0c\u505a\u51fa\u7684\u684c\u9762\u4e0e\u684c\u817f\uff0c\u6070\u597d\u80fd\u914d\u6210\u65b9\u684c\uff1f\u80fd\u914d\u6210\u591a\u5c11\u5f20\u65b9\u684c\uff0e5\uff0e\uff1a\u8bbe\u7528xm3\u6728\u6599\u505a\u684c\u9762\uff0cym3\u6728\u6599\u505a\u684c\u817f\uff0e2\uff096\u00d750=300\uff08\u5f20\uff09\uff0e\u7b54\uff1a\u75286m3\u6728\u6599\u505a\u684c\u9762\uff0c4m3\u6728\u6599\u505a\u684c\u817f\u6070\u597d\u80fd\u914d\u6210\u65b9\u684c\uff0c\u80fd\u914d\u6210300\u5f20\u65b9\u684c\uff0e6\uff0e\u7532\u3001\u4e59\u4e8c\u4eba\u5728\u4e0a\u53488\u65f6\uff0c\u81eaA\u3001B\u4e24\u5730\u540c\u65f6\u76f8\u5411\u800c\u884c\uff0c\u4e0a\u534810\u65f6\u76f8\u8ddd36km\uff0c\u4e8c\u4eba\u7ee7\u7eed\u524d\u884c\uff0c\u523012\u65f6\u53c8\u76f8\u8ddd36km\uff0c\u5df2\u77e5\u7532\u6bcf\u5c0f\u65f6\u6bd4\u4e59\u591a\u8d702km\uff0c\u6c42A\uff0cB\u4e24\u5730\u7684\u8ddd\u79bb\uff0e \u8bbeA\u3001B\u4e24\u5730\u76f8\u8dddxkm\uff0c\u4e59\u6bcf\u5c0f\u65f6\u8d70ykm\uff0c\u5219\u7532\u6bcf\u5c0f\u65f6\u8d70\uff08y+2\uff09km7\uff0e\u67d0\u4e2d\u5b66\u7ec4\u7ec7\u5b66\u751f\u6625\u6e38\uff0c\u539f\u8ba1\u5212\u79df\u752845\u5ea7\u5ba2\u8f66\u82e5\u5e72\u8f86\uff0c\u4f46\u670915\u4eba\u6ca1\u6709\u5ea7\u4f4d\uff1b\u82e5\u79df\u7528\u540c\u6837\u6570\u91cf\u768460\u5ea7\u5ba2\u8f66\uff0c\u5219\u591a\u51fa\u4e00\u8f86\u8f66\uff0c\u4e14\u5176\u4f59\u5ba2\u8f66\u6070\u597d\u5750\u6ee1\uff0c\u5df2\u77e545\u5ea7\u5ba2\u8f66\u6bcf\u65e5\u6bcf\u8f86\u79df\u91d1\u4e3a220\u5143\uff0c60\u5ea7\u5ba2\u8f66\u6bcf\u65e5\u6bcf\u8f86\u79df\u91d1\u4e3a300\u5143\u95ee\uff1a1\uff09\u6625\u6e38\u5b66\u751f\u5171\u591a\u5c11\u4eba\uff1f\u539f\u8ba1\u5212\u79df45\u5ea7\u5ba2\u8f66\u591a\u5c11\u8f86\uff1f\uff082\uff09\u82e5\u79df\u7528\u540c\u4e00\u79cd\u8f66\uff0c\u8981\u4f7f\u6bcf\u4f4d\u540c\u5b66\u90fd\u6709\u5ea7\u4f4d\uff0c\u600e\u6837\u79df\u8f66\u66f4\u5408\u7b97\uff1f
2.3a3b2c－6a2b2c2＋9ab2c3＝3ab^2 c(a^2-2ac+3c^2)
3.因式分解xy＋6－2x－3y＝(x-3)(y-2)
4.因式分解x2(x－y)＋y2(y－x)＝(x+y)(x-y)^2
5.因式分解2x2－(a－2b)x－ab＝(2x-a)(x+b)
6.因式分解a4－9a2b2＝a^2(a+3b)(a-3b)
7.若已知x3＋3x2－4含有x－1的因式，试分解x3＋3x2－4＝(x-1)(x+2)^2
8.因式分解ab(x2－y2)＋xy(a2－b2)＝(ay+bx)(ax-by)
9.因式分解(x＋y)(a－b－c)＋(x－y)(b＋c－a)＝2y(a-b-c)
10.因式分解a2－a－b2－b＝(a+b)(a-b-1)
11.因式分解(3a－b)2－4(3a－b)(a＋3b)＋4(a＋3b)2＝[3a-b-2(a+3b)]^2=(a-7b)^2
12.因式分解(a＋3)2－6(a＋3)＝(a+3)(a-3)
13.因式分解(x＋1)2(x＋2)－(x＋1)(x＋2)2＝-(x+1)(x+2)
abc＋ab－4a＝a(bc+b-4)
(2)16x2－81＝(4x+9)(4x-9)
(3)9x2－30x＋25＝(3x-5)^2
(4)x2－7x－30＝(x-10)(x+3)
35.因式分解x2－25＝(x+5)(x-5)
36.因式分解x2－20x＋100＝(x-10)^2
37.因式分解x2＋4x＋3＝(x+1)(x+3)
38.因式分解4x2－12x＋5＝(2x-1)(2x-5)
39.因式分解下列各式：
(1)3ax2－6ax＝3ax(x-2)
(2)x(x＋2)－x＝x(x+1)
(3)x2－4x－ax＋4a＝(x-4)(x-a)
(4)25x2－49＝(5x-9)(5x+9)
(5)36x2－60x＋25＝(6x-5)^2
(6)4x2＋12x＋9＝(2x+3)^2
(7)x2－9x＋18＝(x-3)(x-6)
(8)2x2－5x－3＝(x-3)(2x+1)
(9)12x2－50x＋8＝2(6x-1)(x-4)
40.因式分解(x＋2)(x－3)＋(x＋2)(x＋4)＝(x+2)(2x-1)
41.因式分解2ax2－3x＋2ax－3＝ (x+1)(2ax-3)
42.因式分解9x2－66x＋121＝(3x-11)^2
43.因式分解8－2x2＝2(2+x)(2-x)
44.因式分解x2－x＋14 ＝整数内无法分解
45.因式分解9x2－30x＋25＝(3x-5)^2
46.因式分解－20x2＋9x＋20＝(-4x+5)(5x+4)
47.因式分解12x2－29x＋15＝(4x-3)(3x-5)
48.因式分解36x2＋39x＋9＝3(3x+1)(4x+3)
49.因式分解21x2－31x－22＝(21x+11)(x-2)
50.因式分解9x4－35x2－4＝(9x^2+1)(x+2)(x-2)
51.因式分解(2x＋1)(x＋1)＋(2x＋1)(x－3)＝2(x-1)(2x+1)
52.因式分解2ax2－3x＋2ax－3＝(x+1)(2ax-3)
53.因式分解x(y＋2)－x－y－1＝(x-1)(y+1)
54.因式分解(x2－3x)＋(x－3)2＝(x-3)(2x-3)
55.因式分解9x2－66x＋121＝(3x-11)^2
56.因式分解8－2x2＝2(2-x)(2+x)
57.因式分解x4－1＝(x-1)(x+1)(x^2+1)
58.因式分解x2＋4x－xy－2y＋4＝(x+2)(x-y+2)
59.因式分解4x2－12x＋5＝(2x-1)(2x-5)
60.因式分解21x2－31x－22＝(21x+11)(x-2)
61.因式分解4x2＋4xy＋y2－4x－2y－3＝(2x+y-3)(2x+y+1)
62.因式分解9x5－35x3－4x＝x(9x^2+1)(x+2)(x-2)
63.因式分解下列各式：
(1)3x2－6x＝3x(x-2)
(2)49x2－25＝(7x+5)(7x-5)
(3)6x2－13x＋5＝(2x-1)(3x-5)
(4)x2＋2－3x＝(x-1)(x-2)
(5)12x2－23x－24＝(3x-8)(4x+3)
(6)(x＋6)(x－6)－(x－6)＝(x-6)(x+5)
(7)3(x＋2)(x－5)－(x＋2)(x－3)＝2(x-6)(x+2)
(8)9x2＋42x＋49＝(3x+7)^2 。上搜啊，部分如下：
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绛旓細2銆鍒嗚В鍥犲紡 x3y-x2y2+2xy3=xy(___) 3銆佸垎瑙ｅ洜寮 鈥9a2+ =___ 4銆佸垎瑙ｅ洜寮 4x2-4xy+y2=___ 5銆佸垎瑙ｅ洜寮 x2-5y+xy-5x=___ 6銆佸綋k=___鏃,浜屾涓夐」寮弜2-kx+12鍒嗚В鍥犲紡鐨勭粨鏋滄槸(x-4)(x-3) 7銆佸垎瑙ｅ洜寮 x2+3x-4=___ 8銆佸凡鐭ョ煩褰竴杈归暱鏄痻+5,闈㈢Н涓簒2+12x+35,鍒欏彟涓杈归暱鏄...
绛旓細5.鍥犲紡鍒嗚В2x2锛(a锛2b)x锛峚b锛(2x-a)(x+b)6.鍥犲紡鍒嗚Вa4锛9a2b2锛漚^2(a+3b)(a-3b)7.鑻ュ凡鐭3锛3x2锛4鍚湁x锛1鐨勫洜寮忥紝璇曞垎瑙3锛3x2锛4锛(x-1)(x+2)^2 8.鍥犲紡鍒嗚Вab(x2锛峺2)锛媥y(a2锛峛2)锛(ay+bx)(ax-by)9.鍥犲紡鍒嗚В(x锛媦)(a锛峛锛峜)锛(x锛峺)(b锛媍锛峚)锛...
绛旓細2銆佸崄瀛楃浉涔樻硶鐨勭敤澶:(1)鐢ㄥ崄瀛楃浉涔樻硶鏉鍒嗚В鍥犲紡銆(2)鐢ㄥ崄瀛楃浉涔樻硶鏉ヨВ涓鍏冧簩娆℃柟绋嬨 3銆佸崄瀛楃浉涔樻硶鐨勪紭鐐:鐢ㄥ崄瀛楃浉涔樻硶鏉ヨВ棰樼殑閫熷害姣旇緝蹇,鑳藉鑺傜害鏃堕棿,鑰屼笖杩愮敤绠楅噺涓嶅ぇ,涓嶅鏄撳嚭閿欍 4銆佸崄瀛楃浉涔樻硶鐨勭己闄:1銆佹湁浜涢鐩敤鍗佸瓧鐩镐箻娉曟潵瑙ｆ瘮杈冪畝鍗,浣嗗苟涓嶆槸姣忎竴閬撻鐢ㄥ崄瀛楃浉涔樻硶鏉ヨВ閮界畝鍗曘2銆佸崄瀛楃浉涔...
绛旓細鍥犲紡鍒嗚В锛1.x² 锛25锛 2. x²锛20x锛100锛 3. x²锛4x锛3锛 4. 4x²锛12x锛5锛 5. 3ax²锛6ax锛 6.x(x锛2)锛峹锛 7.x²锛4x锛峚x锛4a锛 8.25x²锛49锛 9.36x²锛60x锛25锛 10.4x²锛12x锛9锛 11.x²锛9x锛...
绛旓細(1)x^2-9x+8=0 绛旀锛歺1=8 x2=1 (2)x^2+6x-27=0 绛旀锛歺1=3 x2=-9 (3)x^2-2x-80=0 绛旀锛歺1=-8 x2=10 (4)x^2+10x-200=0 绛旀锛歺1=-20 x2=10 (5)x^2-20x+96=0 绛旀锛歺1=12 x2=8 (6)x^2+23x+76=0 绛旀锛歺1=-19 x2=-4 (7)x^2-25x+154=0 ...
绛旓細瑙锛 6xy+4x-9y-7=0 6xy-9y+4x-6-1=0 3y(2x-3)+2(2x-3)=1 (3y+2)(2x-3)=1 褰3y+2=0鏃讹紝鏃犳暣鏁拌В锛屽洜涓烘鏃秠涓嶆槸鏁存暟锛涘綋3y+2鈮0鏃讹紝2x-3=1/(3y+2)鎺ヤ笅鏉ュ垎鎯呭喌璁ㄨ锛氬綋y涓哄皬浜-1鐨勬暣鏁版椂锛堝嵆浠-2寮濮嬶級锛岄偅涔3y+2<-4涔熷氨鏄1/(3y+2)姝ゆ椂涓嶅彲鑳戒负鏁存暟锛岄偅涔堣В...
绛旓細鍥犲紡鍒嗚В锛氾紙1锛.3y²-5xy-2y=(3x+y)(x-2y)锛2锛.x³-5x²+6x=x(x-2)(x-3)锛3锛.a²+2a+1-b²=(a+1)²-b²=(a+b+1)(a-b+1)锛4锛.锛坸²-2x锛²+2锛坸²-2x锛+1=[(x²-2x)+1]²=[(x-1)&#...
绛旓細2銆6a^2-7a+2 =(2a-1)*(3a-2)3銆8x^3y-50xy^3 =2xy*(4x^2+25y^2)=2xy*(2x+5y)*(2x-5y)4銆4(a-b)^2-16(a+b)^2 =(2a-2b)^2-(4a+4b)^2 =(2a-2b+4a+4b)*(2a-2b-4a-4b)=(6a+2b)*(-2a-6b)5銆乤^2+2am+m^2-b^2+2bn-n^2 =(a+m)^2-(b-n)^2...
绛旓細2銆佸崄瀛楃浉涔樻硶鐨勭敤澶勶細锛1锛夌敤鍗佸瓧鐩镐箻娉曟潵鍒嗚В鍥犲紡銆傦紙2锛夌敤鍗佸瓧鐩镐箻娉曟潵瑙ｄ竴鍏冧簩娆℃柟绋嬨3銆佸崄瀛楃浉涔樻硶鐨勪紭鐐癸細鐢ㄥ崄瀛楃浉涔樻硶鏉ヨВ棰樼殑閫熷害姣旇緝蹇紝鑳藉鑺傜害鏃堕棿锛岃屼笖杩愮敤绠楅噺涓嶅ぇ锛屼笉瀹规槗鍑洪敊銆4銆佸崄瀛楃浉涔樻硶鐨勭己闄凤細1銆佹湁浜涢鐩敤鍗佸瓧鐩镐箻娉曟潵瑙ｆ瘮杈冪畝鍗曪紝浣嗗苟涓嶆槸姣忎竴閬撻鐢ㄥ崄瀛楃浉涔樻硶鏉ヨВ閮...
绛旓細瑙ｏ細鍘熷紡=(x^5+3x^4y)-(5x^3y^2+15x^2y^3)+(4xy^4+12y^5)=x^4(x+3y)-5x^2y^2(x+3y)+4y^4(x+3y)=(x+3y)(x^4-5x^2y^2+4y^4)=(x+3y)(x^2-4y^2)(x^2-y^2)=(x+3y)(x+y)(x-y)(x+2y)(x-2y)鍒嗚В鍥犲紡m +5n-mn-5m 瑙ｏ細m +5n-mn-5m= m -5m -...
