我需要七年级下册的数学题450道带答案,就这几天要拜托了!!!!!!!!

\u6211\u8981 \u6839\u53f7\u8ba1\u7b97\u9898450\u9053 \u7a0d\u96be\u4e00\u70b9\u7684

1\uff09\u4e09\u6b21\u6839\u53f70.108
\uff082\uff09\u4e09\u6b21\u6839\u53f7\u4e94\u5206\u4e4b\u516b\uff08\u8fd9\u4e24\u4e2a\u7cbe\u786e\u52300.001\uff09
\uff083\uff092\u6839\u53f73\uff0d3\u6839\u53f72\uff0b\u6839\u53f75
\uff084\uff092\u5206\u4e4b\u6839\u53f73\uff0d113\u5206\u4e4b355\uff0b2\u03c0\uff0d\u6839\u53f72\uff08\u8fd9\u4e24\u4e2a\u7cbe\u786e\u52300.01\uff09
\uff085\uff09\u4e09\u6b21\u6839\u53f79
\uff086\uff09\u4e09\u6b21\u6839\u53f760\uff08\u8fd9\u4e24\u4e2a\u7cbe\u786e\u52300.1\uff09
\uff087\uff09\u6bd4\u8f83\u5927\u5c0f\uff1a\u8d1f\u4e09\u6b21\u6839\u53f73\u548c\u8d1f\u6839\u53f72
\u6839\u53f72-\u6839\u53f73)\u76842\u6b21\u65b9\uff0b2\u500d\u6839\u53f73\u5206\u4e4b1X3\u500d\u6839\u53f72
1.\u82e5\u65b9\u7a0bx^2+px+q=0(p,q\u4e3a\u5e38\u6570\uff0cp^2-4q>0)\u7684\u4e24\u6839\u4e3ax1\uff0cx2\uff0c\u5219x1+x2=_______,x1*x2=_______.

2.\u5df2\u77e5\u65b9\u7a0bx^2-5x+3=0\u7684\u4e24\u4e2a\u6839\u4e3ax1,x2\uff0c\u8ba1\u7b97\u4e0b\u5217\u5404\u5f0f\u7684\u503c\uff08\u4e0d\u89e3\u65b9\u7a0b\uff09
(1)x1+x2;



(2)x1*x2;



(3)1/x1+1/x2;





(4)x1^2+x2^2.




\u968f\u5802\u4f5c\u4e1a\u2014\u57fa\u7840\u8fbe\u6807
1.\u5982\u679c\u65b9\u7a0bax^2+bx+c=0(a=/0)\u7684\u4e24\u6839\u662fx1\uff0cx2\uff0c\u90a3\u4e48x1+x2=________,x1*x2=________.

2.\u5df2\u77e5x1\uff0cx2\u662f\u65b9\u7a0b2x^2+3x-4=0\u7684\u4e24\u4e2a\u6839\uff0c\u90a3\u4e48x1+x2=________;x1*x2=_______;1/x1+1/x2=________;x1^2+x2^2=________;(x1+1)(x2+1)=___________.

3.\u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b2x^2-3x-1=0\u7684\u4e24\u6839\u4e3ax1\uff0cx2\uff0c\u5219x1+x2=________.

4.\u82e5\u65b9\u7a0bx^2+x-1=0\u7684\u4e24\u6839\u5206\u522b\u4e3ax1\uff0cx2\uff0c\u5219x1^2+x2^2=________.

5.\u5df2\u77e5x1\uff0cx2\u662f\u5173\u4e8ex\u7684\u65b9\u7a0bx^2+mx+m=0\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\uff0c\u4e14x1+x2=1/3\uff0c\u5219x1*x2=___________.

6.\u4ee53\uff0c-1\u4e3a\u6839\uff0c\u4e14\u4e8c\u6b21\u9879\u7cfb\u6570\u4e3a3\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f\uff08 \uff09
a.3x^2-2x+3=0
b.3x^2+2x-3=0
c.3x^2-6x-9=0
d.3x^2+6x-9=0

7.\u8bbex1\uff0cx2\u662f\u65b9\u7a0b2x^2-2x-1=0\u7684\u4e24\u4e2a\u6839\uff0c\u5229\u7528\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb\uff0c\u6c42\u4e0b\u5217\u5404\u5f0f\u7684\u503c\uff1a
(1) (2x1+1)(2x2+1);


(2) (x1^2+2)(x2^2+2);


(3) x1-x2.


\u8bfe\u540e\u4f5c\u4e1a\u2014\u57fa\u7840\u62d3\u5c55

1.\uff08\u5de7\u89e3\u9898\uff09\u5df2\u77e5 \u03b1^2+\u03b1-1=0\uff0c\u03b2^2+\u03b2-1=0\uff0c\u4e14\u03b1\u4e0d\u7b49\u4e8e\u03b2\uff0c\u5219\u03b1\u03b2+\u03b1+\u03b2\u7684\u503c\u4e3a\uff08 \uff09
a.2
b.-2
c.-1
d.0

2.\uff08\u6613\u9519\u9898\uff09\u5df2\u77e5\u4e09\u89d2\u5f62\u4e24\u8fb9\u957f\u5206\u522b\u4e3a2\u548c9\uff0c\u7b2c\u4e09\u8fb9\u7684\u957f\u4e3a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0fx^2-14x+48=0\u7684\u4e00\u4e2a\u6839\uff0c\u5219\u8fd9\u4e2a\u4e09\u89d2\u5f62\u7684\u5468\u957f\u4e3a\uff08 \uff09
a.11
b.17
c.17\u621619
d.19

3.\u82e5\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx^2+kx+4k^2-3=0\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\u5206\u522b\u662fx1\uff0cx2\uff0c\u4e14\u6ee1\u8db3x1+x2=x1*x2,\u5219k\u7684\u503c\u4e3a\uff08 \uff09
a.-1\u62163/4
b.-1
c.3/4
d.\u4e0d\u5b58\u5728

4.\uff08\u4e00\u9898\u591a\u89e3\uff09\u5df2\u77e5\u65b9\u7a0b2x^2+mx-4=0\u7684\u4e00\u6839\u4e3a-2\uff0c\u6c42\u5b83\u7684\u53e6\u4e00\u6761\u6839\u7684\u503c.\uff08\u7528\u4e24\u79cd\u65b9\u6cd5\u6c42\u89e3\uff09






\u7b54\u6848\uff1a1.-p q
2. 5 3 \u7b2c\u4e09\u4e2a\u5f0f\u5b50\u5408\u5e76(x1+x2)/x1*x2=5/3 \u7b2c\u56db\u4e2a\u5f0f\u5b50=(x1+x2)^2-2x1*x2 =19
\u968f\u5802\u4f5c\u4e1a\u2014\u57fa\u7840\u8fbe\u6807
1.-b/a c/a
2.-3/2 -2 3/4 25/4
3. 3/2
4. 3
5. -1/3
6. c
7.\u8bbex1\uff0cx2\u662f\u65b9\u7a0b2x^2-2x-1=0\u7684\u4e24\u4e2a\u6839\uff0c\u5229\u7528\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb\uff0c\u6c42\u4e0b\u5217\u5404\u5f0f\u7684\u503c\uff1a
(1) (2x1+1)(2x2+1); \u5c55\u5f00=2
\u56e0\u4e3ax1+x2=1 x1x2=-1/2


(2) (x1^2+2)(x2^2+2); \u5c55\u5f00=29/4


(3) x1-x2.=(x1-x2)^2\u5f00\u5e73\u65b9=x1^2+x2^2-2x1x2=
=(x1+x2)^2-4x1x2 =3\u5f00\u5e73\u65b9



\u8bfe\u540e\u4f5c\u4e1a\u2014\u57fa\u7840\u62d3\u5c55

1.\uff08\u5de7\u89e3\u9898\uff09\u5df2\u77e5 \u03b1^2+\u03b1-1=0\uff0c\u03b2^2+\u03b2-1=0\uff0c\u4e14\u03b1\u4e0d\u7b49\u4e8e\u03b2\uff0c\u5219\u03b1\u03b2+\u03b1+\u03b2\u7684\u503c\u4e3a\uff08b \uff09
a.2
b.-2
c.-1
d.0

2.\uff08\u6613\u9519\u9898\uff09\u5df2\u77e5\u4e09\u89d2\u5f62\u4e24\u8fb9\u957f\u5206\u522b\u4e3a2\u548c9\uff0c\u7b2c\u4e09\u8fb9\u7684\u957f\u4e3a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0fx^2-14x+48=0\u7684\u4e00\u4e2a\u6839\uff0c\u5219\u8fd9\u4e2a\u4e09\u89d2\u5f62\u7684\u5468\u957f\u4e3a\uff08 d\uff09\u6ce8\u610f\u4e24\u8fb9\u4e4b\u548c\u5927\u4e8e\u7b2c\u4e09\u8fb9 \u4e4b\u5dee\u5c0f\u4e8e\u7b2c\u4e09\u8fb9 \u6240\u4ee5\u53ea\u80fd\u662f8
a.11
b.17
c.17\u621619
d.19

3.\u82e5\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx^2+kx+4k^2-3=0\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\u5206\u522b\u662fx1\uff0cx2\uff0c\u4e14\u6ee1\u8db3x1+x2=x1*x2,\u5219k\u7684\u503c\u4e3a\uff08c \uff09 \u6ce8\u610f\uff1a\u5f53k\u4e3a-1\u65f6\u5019 \u539f\u65b9\u7a0b\u7684b^2-4ac\u5c0f\u4e8e0
a.-1\u62163/4
b.-1
c.3/4
d.\u4e0d\u5b58\u5728

4.\uff08\u4e00\u9898\u591a\u89e3\uff09\u5df2\u77e5\u65b9\u7a0b2x^2+mx-4=0\u7684\u4e00\u6839\u4e3a-2\uff0c\u6c42\u5b83\u7684\u53e6\u4e00\u6761\u6839\u7684\u503c.\uff08\u7528\u4e24\u79cd\u65b9\u6cd5\u6c42\u89e3\uff09
1.\u4e24\u6839\u4e4b\u548c=-m/2=-2+x2 \u4e24\u6839\u4e4b\u79ef=-2
\u6240\u4ee5x2=1 m=2
2.\uff08-b+\u6216\u8005-\u6839\u53f7\u4e0bb^2-4ac\uff09/2a=-2





\u89e3\u4e0b\u5217\u65b9\u7a0b
1. (2x-1)^2-1=0

1
2. \u2014\uff08x+3)^2=2
2


3. x^2+2x-8=0


4. 3x^2=4x-1


5. x(3x-2)-6x^2=0


6. (2x-3)^2=x^2

\u4e00.\u914d\u5b8c\u5168\u5e73\u65b9\u5f0f\uff08\u76f4\u63a5\u5199\u7b54\u6848\uff09
1. x^2-4x+___________=\uff08x-___________\uff09^2

2. x^2+mx+9\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u5219m=_____

\u4e8c.\u914d\u65b9\u6cd5\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff08\u9700\u8981\u8fc7\u7a0b\uff09

3.\u7528\u914d\u65b9\u7a0b\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b
x^2-8x-9=0

\u57fa\u7840\u8fbe\u6807
1\u7528\u914d\u65b9\u6cd5\u89e3\u65b9\u7a0bx^2-6x-5=0,\u914d\u65b9\u5f97\uff08 \uff09
a.\uff08x-6)^2=14
b.(x-3)^=8
c.(x-3)^=14
d.(x-6)^2=41

2.\u5c06\u4e8c\u6b21\u4e09\u9879\u5f0f2x^-3x+5\u914d\u65b9\uff0c\u6b63\u786e\u7684\u662f\uff08 \uff09
3 31
a.\uff08x- \u2014)^2+ \u2014
4 16
3 34
b.\uff08x- \u2014)^2- \u2014
4 16
3 31
c.2(x- \u2014\uff09^2+ \u2014
4 16
3 31
d.2\uff08x- \u2014)^2+ \u2014
4 8

3.\u586b\u7a7a\uff1a
1. x^2+8x+______=\uff08x+______)^2
2.2x^2-12x+______=2\uff08x-______\uff09^2

4.\u7528\u914d\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\uff08\u8981\u8fc7\u7a0b\uff09

1. x^+5x+3=0

2. 2x^2-x-3=0

\u57fa\u7840\u6269\u5c55

1.\u5df2\u77e5(x^2+y^2)(x^2+y^2+2)-8=0,\u5219x^2+y^2\u7684\u503c\u662f\uff08 \uff09
a.-4
b. 2
c.-1\u62164
d.2\u62164


2.\uff08\u7efc\u5408\u4f53\uff09\u7528\u914d\u65b9\u6cd5\u89e3\u5173\u65bcx^2+2mx-n^2=0\uff08\u8981\u6c42\u5199\u51fa\u8fc7\u7a0b\uff09



3.\uff08\u521b\u65b0\u9898\uff09\u5c0f\u4e3d\u548c\u5c0f\u6674\u662f\u4e00\u5bf9\u597d\u670b\u53cb\uff0c\u4f46\u5c0f\u4e3d\u8fd1\u671f\u6c89\u8ff7\u4e0e\u7f51\u7edc\uff0c\u4e0d\u6c42\u4e0a\u8fdb\uff0c\u5c0f\u6674\u51b3\u5b9a\u4e0d\u4ea4\u8fd9\u4e2a\u670b\u53cb\uff0c\u5c31\u7ed9\u4e86\u5979\u4e00\u4e2a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u8bf4\uff1a\u201c\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u5427\uff0c\u8fd9\u5c31\u662f\u6211\u4eec\u7684\u7ed3\u679c\uff01\u201d\u5c0f\u4e3d\u89e3\u5b8c\u8fd9\u4e2a\u65b9\u7a0b\u5927\u5403\u4e00\u60ca\uff0c\u539f\u6765\u628a\u8fd9\u4e24\u4e2a\u8ddf\u653e\u5728\u4e00\u8d77\u662f\u201c886\u201d\uff08\u7f51\u7edc\u8bed\u201c\u62dc\u62dc\u4e86\u201d\uff09\u3002\u540c\u5b66\u4f60\u80fd\u8bbe\u8ba1\u4e00\u4e2a\u8fd9\u6837\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u9ef1\uff1f



4.\uff08\u5f00\u653e\u63a2\u7a76\u9898\uff09\u8bbe\u4ee3\u6570\u5f0f2x^2+4x-3=m\uff0c\u7528\u914d\u65b9\u6cd5\u8bf4\u660e\uff1a\u65e0\u8bbax\u53d6\u4f55\u503c\uff0cm\u603b\u4e0d\u5c0f\u65bc\u4e00\u5b9a\u503c\uff0c\u5e76\u6c42\u51fa\u8be5\u503c\uff08\u8981\u6c42\u5168\u8fc7\u7a0b\uff09






\u7b54\u6848\uff1a\u3010\u89e3\u4e0b\u5217\u65b9\u7a0b\u3011
1\u3001(2x)^2-1=0
\u79fb\u9879\uff0c\u5f97\uff1a(2x)^2=1
\u5f00\u5e73\u65b9\uff0c\u5f97\uff1a2x=+-1
\u65b9\u7a0b\u4e24\u8fb9\u90fd\u9664\u4ee52\uff0c\u5f97\uff1ax=+-1/2

2\u30011/2(x+3)^2=2
\u65b9\u7a0b\u4e24\u8fb9\u90fd\u4e58\u4ee52\uff0c\u5f97\uff1a(x+3)^2=4
\u5f00\u5e73\u65b9\uff0c\u5f97\uff1ax+3=+-2
\u65b9\u7a0b\u4e24\u8fb9\u90fd\u51cf\u53bb3\uff0c\u5f97\uff1ax=-1\u6216-5

3\u3001x^2+2x-8=0
\u5de6\u8fb9\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u5f97\uff1a(x+2)(x-4)=0
x+2=0\u6216x-4=0
x=-2\u6216x=4

4\u30013x^2=4x-1
\u79fb\u9879\uff0c\u5f97\uff1a3x^2-4x+1=0
\u5de6\u8fb9\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u5f97\uff1a(3x-1)(x-1)=0
3x-1=0\u6216x-1=0
x=1/3\u6216x=1

5\u3001x(3x-2)-6x^2=0
3x^2-2x-6x^2=0
\u6574\u7406\uff0c\u5f97\uff1a-3x^2-2x=0
\u65b9\u7a0b\u4e24\u8fb9\u90fd\u9664\u4ee5-1\uff0c\u5f97\uff1a3x^2+2x=0
\u5de6\u8fb9\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u5f97\uff1ax(3x+2)=0
x=0\u62163x+2=0
x=0\u6216x=-2/3
6\u3001(2x-3)^2=x^2
4x^2-12x+9=x^2
\u65b9\u7a0b\u4e24\u8fb9\u90fd\u51cf\u53bbx^2\uff0c\u5f97\uff1a3x^2-12x+9=0
\u65b9\u7a0b\u4e24\u8fb9\u90fd\u9664\u4ee53\uff0c\u5f97\uff1ax^2-4x+3=0
\u5de6\u8fb9\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u5f97\uff1a(x-1)(x-3)=0
x-1=0\u6216x-3=0
x=1\u6216x=3
\u3010\u4e00\u3001\u914d\u5b8c\u5168\u5e73\u65b9\u5f0f\u3011
1\u3001 x^2-4x+4=\uff08x-2\uff09^2
2\u3001 x^2+mx+9\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u5219m=6
\u3010\u4e8c\u3001\u914d\u65b9\u6cd5\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u3011
x^2-8x-9=0
x^2-8x=9
x^2-8x+16=9+16
(x-4)^2=25
(x-4)^2=5^2
x-4=+-5
x=9\u6216-1
\u3010\u57fa\u7840\u8fbe\u6807\u3011
1\u3001c
2\u3001d
3\u3001\u586b\u7a7a
\u2460 x^2+8x+16=\uff08x+4)^2
\u24612x^2-12x+18=2\uff08x-3\uff09^2
4.\u7528\u914d\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\uff08\u8981\u8fc7\u7a0b\uff09
\u2460x^+5x+3=0
x^+5x=-3
x^+5x+(5/2)^2=(5/2)^2-3
(x+5/2)^2=13/4
x+5/2=+-\u221a13/2
x=(\u221a13-5)/2\u6216-(\u221a13+5)/2
\u24612x^2-x-3=0
x^2-1/2x=3/2
x^2-1/2x+(1/4)^2=3/2+(1/4)^2
(x-1/4)^2=25/16
x-1/4=+-5/4
x=3/2\u6216x=-1
\u3010\u57fa\u7840\u6269\u5c55\u3011
1\u3001b
2\u3001x^2+2mx-n^2=0
x^2+2mx=n^2
x^2+2mx+m^2=n^2+m^2
(x+m)^2=n^2+m^2
x+m=+-\u221a(n^2+m^2)
x=-m+-\u221a(n^2+m^2)
3\u3001\u4e0d\u662f\u5f88\u6e05\u695a\u9898\u610f\uff0c\u4e24\u4e2a\u6839\u653e\u5728\u4e00\u8d77\u662f886\u4e09\u4e2a\u6570\uff0c\u662f\u52a0\u8d77\u6765\u8fd8\u662f\u600e\u4e48\u7ec4\u5408\u5462\uff0c\u5982\u679c\u662f8\u548c6\u7684\u8bdd\uff0c\u5f88\u7b80\u5355\uff0c(x-8)(x-6)=0\u5c31\u53ef\u4ee5\u4e86\uff0c\u5c55\u5f00\u5c31\u662fx^2-14x+48=0
\u5982\u679c\u4e24\u4e2a\u6839\u662f88\u548c6\uff0c(x-88)(x-6)=0\uff0c\u5c55\u5f00\u5c31\u662fx^2-94x+528=0
4\u30012x^2+4x-3=m
m=2x^2+4x-3
=2(x^2+2x)-3
=2(x^2+2x+1-1)-3
=2(x^2+2x+1)-5
=2(x+1)^2-5 \u6839\u53f725\u5206\u4e4b6\u7ea6\u7b49\u4e8e\uff1f\u7cbe\u786e\u52300.1
\u6839\u53f7900\u7b49\u4e8e\uff1f\u7cbe\u786e\u52300.01
=\u221a\uff084-\u221a12\uff09-\u221a\uff085-2\u221a6\uff09-\uff08\u221a2-1\uff09=\u221a[(\u221a3)^2-2*(\u221a3)*1+1^2]-\u221a[(\u221a2)^2-2*(\u221a2)*(\u221a3)+(\u221a3)^2]-\u221a2+1
=\u221a[(\u221a3-1)^2]-\u221a[(\u221a3-\u221a2)^2]-\u221a2+1
=\u221a3-1-\u221a3+\u221a2-\u221a2+1
=0
\u6839\u53f72\uff0b1\uff09^100\uff0b\uff08\u6839\u53f72-1\uff09^100=?_
1/1+\u6839\u53f72+1/\u6839\u53f72+\u6839\u53f73.......+1/\u6839\u53f72007+\u6839\u53f7
4\u7684\u5e73\u65b9\u5f00\u6839\u53f7\u7b49\u4e8e\u6b63\u8d1f4,\u6839\u53f74\u7684\u5e73\u65b9\u662f4
\u56db\u7684\u5e73\u65b9\u7b49\u4e8e16,\u800c16\u5f00\u65b9\u7b49\u4e8e\u6b63\u8d1f4
\u6839\u53f74\u7b49\u4e8e2(\u524d\u9762\u6ca1\u6709\u8d1f\u53f7),2\u7684\u5e73\u65b9\u7b49\u4e8e4
\u6839\u53f72008\u51cf\u6839\u53f72007\u548c\u6839\u53f72006\u51cf\u6839\u53f72005\u7684\u5927\u5c0f
(x+3)^3+27=0\u548c(\u6839\u53f78) +5- (\u6839\u53f73) (x+3)^3+27=0 (x+3)^3=-27 x+3=-3 x=-6 (\u6839\u53f78) +5- (\u6839\u53f73) =2\u6839\u53f72+5-\u6839\u53f73
\u6839\u53f78+\u6839\u53f732-\u6839\u53f72


\u2461\uff1a\u6839\u53f7\u4e09\u5206\u4e4b\u4e00+\u6839\u53f727*\u6839\u53f79
1.\u82e5\u65b9\u7a0bx^2+px+q=0(p,q\u4e3a\u5e38\u6570\uff0cp^2-4q>0)\u7684\u4e24\u6839\u4e3ax1\uff0cx2\uff0c\u5219x1+x2=_______,x1*x2=_______.

2.\u5df2\u77e5\u65b9\u7a0bx^2-5x+3=0\u7684\u4e24\u4e2a\u6839\u4e3ax1,x2\uff0c\u8ba1\u7b97\u4e0b\u5217\u5404\u5f0f\u7684\u503c\uff08\u4e0d\u89e3\u65b9\u7a0b\uff09
(1)x1+x2;



(2)x1*x2;



(3)1/x1+1/x2;





(4)x1^2+x2^2.




\u968f\u5802\u4f5c\u4e1a\u2015\u57fa\u7840\u8fbe\u6807
1.\u5982\u679c\u65b9\u7a0bax^2+bx+c=0(a=/0)\u7684\u4e24\u6839\u662fx1\uff0cx2\uff0c\u90a3\u4e48x1+x2=________,x1*x2=________.

2.\u5df2\u77e5x1\uff0cx2\u662f\u65b9\u7a0b2x^2+3x-4=0\u7684\u4e24\u4e2a\u6839\uff0c\u90a3\u4e48x1+x2=________;x1*x2=_______;1/x1+1/x2=________;x1^2+x2^2=________;(x1+1)(x2+1)=___________.

3.\u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b2x^2-3x-1=0\u7684\u4e24\u6839\u4e3ax1\uff0cx2\uff0c\u5219x1+x2=________.

4.\u82e5\u65b9\u7a0bx^2+x-1=0\u7684\u4e24\u6839\u5206\u522b\u4e3ax1\uff0cx2\uff0c\u5219x1^2+x2^2=________.

5.\u5df2\u77e5x1\uff0cx2\u662f\u5173\u4e8ex\u7684\u65b9\u7a0bx^2+mx+m=0\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\uff0c\u4e14x1+x2=1/3\uff0c\u5219x1*x2=___________.

6.\u4ee53\uff0c-1\u4e3a\u6839\uff0c\u4e14\u4e8c\u6b21\u9879\u7cfb\u6570\u4e3a3\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f\uff08 \uff09
A.3x^2-2x+3=0
B.3x^2+2x-3=0
C.3x^2-6x-9=0
D.3x^2+6x-9=0

7.\u8bbex1\uff0cx2\u662f\u65b9\u7a0b2x^2-2x-1=0\u7684\u4e24\u4e2a\u6839\uff0c\u5229\u7528\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb\uff0c\u6c42\u4e0b\u5217\u5404\u5f0f\u7684\u503c\uff1a
(1) (2x1+1)(2x2+1);


(2) (x1^2+2)(x2^2+2);


(3) x1-x2.


\u8bfe\u540e\u4f5c\u4e1a\u2015\u57fa\u7840\u62d3\u5c55

1.\uff08\u5de7\u89e3\u9898\uff09\u5df2\u77e5 \u03b1^2+\u03b1-1=0\uff0c\u03b2^2+\u03b2-1=0\uff0c\u4e14\u03b1\u4e0d\u7b49\u4e8e\u03b2\uff0c\u5219\u03b1\u03b2+\u03b1+\u03b2\u7684\u503c\u4e3a\uff08 \uff09
A.2
B.-2
C.-1
D.0

2.\uff08\u6613\u9519\u9898\uff09\u5df2\u77e5\u4e09\u89d2\u5f62\u4e24\u8fb9\u957f\u5206\u522b\u4e3a2\u548c9\uff0c\u7b2c\u4e09\u8fb9\u7684\u957f\u4e3a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0fx^2-14x+48=0\u7684\u4e00\u4e2a\u6839\uff0c\u5219\u8fd9\u4e2a\u4e09\u89d2\u5f62\u7684\u5468\u957f\u4e3a\uff08 \uff09
A.11
B.17
C.17\u621619
D.19

3.\u82e5\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx^2+kx+4k^2-3=0\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\u5206\u522b\u662fx1\uff0cx2\uff0c\u4e14\u6ee1\u8db3x1+x2=x1*x2,\u5219k\u7684\u503c\u4e3a\uff08 \uff09
A.-1\u62163/4
B.-1
C.3/4
D.\u4e0d\u5b58\u5728

4.\uff08\u4e00\u9898\u591a\u89e3\uff09\u5df2\u77e5\u65b9\u7a0b2x^2+mx-4=0\u7684\u4e00\u6839\u4e3a-2\uff0c\u6c42\u5b83\u7684\u53e6\u4e00\u6761\u6839\u7684\u503c.\uff08\u7528\u4e24\u79cd\u65b9\u6cd5\u6c42\u89e3\uff09






\u7b54\u6848\uff1a1.-P Q
2. 5 3 \u7b2c\u4e09\u4e2a\u5f0f\u5b50\u5408\u5e76(X1+X2)/X1*X2=5/3 \u7b2c\u56db\u4e2a\u5f0f\u5b50=(X1+X2)^2-2X1*X2 =19
\u968f\u5802\u4f5c\u4e1a\u2015\u57fa\u7840\u8fbe\u6807
1.-B/A C/A
2.-3/2 -2 3/4 25/4
3. 3/2
4. 3
5. -1/3
6. C
7.\u8bbex1\uff0cx2\u662f\u65b9\u7a0b2x^2-2x-1=0\u7684\u4e24\u4e2a\u6839\uff0c\u5229\u7528\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb\uff0c\u6c42\u4e0b\u5217\u5404\u5f0f\u7684\u503c\uff1a
(1) (2x1+1)(2x2+1); \u5c55\u5f00=2
\u56e0\u4e3aX1+X2=1 X1X2=-1/2


(2) (x1^2+2)(x2^2+2); \u5c55\u5f00=29/4


(3) x1-x2.=(X1-X2)^2\u5f00\u5e73\u65b9=X1^2+X2^2-2X1X2=
=(X1+X2)^2-4X1X2 =3\u5f00\u5e73\u65b9



\u8bfe\u540e\u4f5c\u4e1a\u2015\u57fa\u7840\u62d3\u5c55

1.\uff08\u5de7\u89e3\u9898\uff09\u5df2\u77e5 \u03b1^2+\u03b1-1=0\uff0c\u03b2^2+\u03b2-1=0\uff0c\u4e14\u03b1\u4e0d\u7b49\u4e8e\u03b2\uff0c\u5219\u03b1\u03b2+\u03b1+\u03b2\u7684\u503c\u4e3a\uff08B \uff09
A.2
B.-2
C.-1
D.0

2.\uff08\u6613\u9519\u9898\uff09\u5df2\u77e5\u4e09\u89d2\u5f62\u4e24\u8fb9\u957f\u5206\u522b\u4e3a2\u548c9\uff0c\u7b2c\u4e09\u8fb9\u7684\u957f\u4e3a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0fx^2-14x+48=0\u7684\u4e00\u4e2a\u6839\uff0c\u5219\u8fd9\u4e2a\u4e09\u89d2\u5f62\u7684\u5468\u957f\u4e3a\uff08 D\uff09\u6ce8\u610f\u4e24\u8fb9\u4e4b\u548c\u5927\u4e8e\u7b2c\u4e09\u8fb9 \u4e4b\u5dee\u5c0f\u4e8e\u7b2c\u4e09\u8fb9 \u6240\u4ee5\u53ea\u80fd\u662f8
A.11
B.17
C.17\u621619
D.19

3.\u82e5\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx^2+kx+4k^2-3=0\u7684\u4e24\u4e2a\u5b9e\u6570\u6839\u5206\u522b\u662fx1\uff0cx2\uff0c\u4e14\u6ee1\u8db3x1+x2=x1*x2,\u5219k\u7684\u503c\u4e3a\uff08c \uff09 \u6ce8\u610f\uff1a\u5f53k\u4e3a-1\u65f6\u5019 \u539f\u65b9\u7a0b\u7684b^2-4ac\u5c0f\u4e8e0
A.-1\u62163/4
B.-1
C.3/4
D.\u4e0d\u5b58\u5728

4.\uff08\u4e00\u9898\u591a\u89e3\uff09\u5df2\u77e5\u65b9\u7a0b2x^2+mx-4=0\u7684\u4e00\u6839\u4e3a-2\uff0c\u6c42\u5b83\u7684\u53e6\u4e00\u6761\u6839\u7684\u503c.\uff08\u7528\u4e24\u79cd\u65b9\u6cd5\u6c42\u89e3\uff09
1.\u4e24\u6839\u4e4b\u548c=-M/2=-2+X2 \u4e24\u6839\u4e4b\u79ef=-2
\u6240\u4ee5X2=1 M=2
2.\uff08-b+\u6216\u8005-\u6839\u53f7\u4e0bb^2-4ac\uff09/2a=-2





\u89e3\u4e0b\u5217\u65b9\u7a0b
1. (2x-1)^2-1=0

1
2. \u2015\uff08x+3)^2=2
2


3. x^2+2x-8=0


4. 3x^2=4x-1


5. x(3x-2)-6x^2=0


6. (2x-3)^2=x^2

\u4e00.\u914d\u5b8c\u5168\u5e73\u65b9\u5f0f\uff08\u76f4\u63a5\u5199\u7b54\u6848\uff09
1. x^2-4x+___________=\uff08x-___________\uff09^2

2. x^2+mx+9\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u5219m=_____

\u4e8c.\u914d\u65b9\u6cd5\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff08\u9700\u8981\u8fc7\u7a0b\uff09

3.\u7528\u914d\u65b9\u7a0b\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b
x^2-8x-9=0

\u57fa\u7840\u8fbe\u6807
1\u7528\u914d\u65b9\u6cd5\u89e3\u65b9\u7a0bx^2-6x-5=0,\u914d\u65b9\u5f97\uff08 \uff09
A.\uff08x-6)^2=14
B.(x-3)^=8
C.(x-3)^=14
D.(x-6)^2=41

2.\u5c06\u4e8c\u6b21\u4e09\u9879\u5f0f2x^-3x+5\u914d\u65b9\uff0c\u6b63\u786e\u7684\u662f\uff08 \uff09
3 31
A.\uff08x- \u2015)^2+ \u2015
4 16
3 34
B.\uff08x- \u2015)^2- \u2015
4 16
3 31
C.2(x- \u2015\uff09^2+ \u2015
4 16
3 31
D.2\uff08x- \u2015)^2+ \u2015
4 8

3.\u586b\u7a7a\uff1a
1. x^2+8x+______=\uff08x+______)^2
2.2x^2-12x+______=2\uff08x-______\uff09^2

4.\u7528\u914d\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\uff08\u8981\u8fc7\u7a0b\uff09

1. x^+5x+3=0

2. 2x^2-x-3=0

\u57fa\u7840\u6269\u5c55

1.\u5df2\u77e5(x^2+y^2)(x^2+y^2+2)-8=0,\u5219x^2+y^2\u7684\u503c\u662f\uff08 \uff09
A.-4
B. 2
C.-1\u62164
D.2\u62164


2.\uff08\u7efc\u5408\u4f53\uff09\u7528\u914d\u65b9\u6cd5\u89e3\u5173\u65bcx^2+2mx-n^2=0\uff08\u8981\u6c42\u5199\u51fa\u8fc7\u7a0b\uff09



3.\uff08\u521b\u65b0\u9898\uff09\u5c0f\u4e3d\u548c\u5c0f\u6674\u662f\u4e00\u5bf9\u597d\u670b\u53cb\uff0c\u4f46\u5c0f\u4e3d\u8fd1\u671f\u6c89\u8ff7\u4e0e\u7f51\u7edc\uff0c\u4e0d\u6c42\u4e0a\u8fdb\uff0c\u5c0f\u6674\u51b3\u5b9a\u4e0d\u4ea4\u8fd9\u4e2a\u670b\u53cb\uff0c\u5c31\u7ed9\u4e86\u5979\u4e00\u4e2a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u8bf4\uff1a\u201c\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u5427\uff0c\u8fd9\u5c31\u662f\u6211\u4eec\u7684\u7ed3\u679c\uff01\u201d\u5c0f\u4e3d\u89e3\u5b8c\u8fd9\u4e2a\u65b9\u7a0b\u5927\u5403\u4e00\u60ca\uff0c\u539f\u6765\u628a\u8fd9\u4e24\u4e2a\u8ddf\u653e\u5728\u4e00\u8d77\u662f\u201c886\u201d\uff08\u7f51\u7edc\u8bed\u201c\u62dc\u62dc\u4e86\u201d\uff09\u3002\u540c\u5b66\u4f60\u80fd\u8bbe\u8ba1\u4e00\u4e2a\u8fd9\u6837\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bN\uff1f



4.\uff08\u5f00\u653e\u63a2\u7a76\u9898\uff09\u8bbe\u4ee3\u6570\u5f0f2x^2+4x-3=M\uff0c\u7528\u914d\u65b9\u6cd5\u8bf4\u660e\uff1a\u65e0\u8bbax\u53d6\u4f55\u503c\uff0cM\u603b\u4e0d\u5c0f\u65bc\u4e00\u5b9a\u503c\uff0c\u5e76\u6c42\u51fa\u8be5\u503c\uff08\u8981\u6c42\u5168\u8fc7\u7a0b\uff09
1.\u8bbem\uff0cn\u6ee1\u8db3\u5173\u7cfb\u5f0fn=\uff08\u221am²-4\uff09+\uff08\u221a4-m²\uff09+2/m-2\uff0c\u6c42\u221amn\u7684\u503c\u3002
2\u3002\u661f\u671f\u5929\uff0c\u5c0f\u521a\u7684\u5988\u5988\u548c\u5c0f\u521a\u505a\u4e86\u4e00\u4e2a\u6e38\u620f\uff0c\u5c0f\u521a\u7684\u5988\u5988\u8bf4\uff1a\u201c\u4f60\u73b0\u5728\u5b66\u4e86\u2018\u4e8c\u6b21\u6839\u5f0f\u2019\uff0c\u82e5\u7528x\u8868\u793a\u221a10\u7684\u6574\u6570\u90e8\u5206\uff0cy\u8868\u793a\u4ed6\u7684\u5c0f\u6570\u90e8\u5206\uff0c\u6211\u8fd9\u4e2a\u7eb8\u5305\u91cc\u7684\u94b1\u6570\u662f\u3010\uff08\u221a10\uff09+x\u3011y\u5143\u3002\u4f60\u731c\u4e00\u4e0b\u6709\u591a\u5c11\u94b1\u3002
1\u3001
\u6839\u53f7\u4e0b\u5927\u4e8e\u7b49\u4e8e0
\u6240\u4ee5m²-4>=0,m²>=4
4-m²>=0,m²<=4
\u540c\u65f6\u6210\u7acb\u5219m²=4
m=2\u6216-2
m-2\u5728\u5206\u6bcd\uff0c\u4e0d\u7b49\u4e8e0
\u6240\u4ee5m\u4e0d\u7b49\u4e8e2
\u6240\u4ee5m=-2
\u5219\u4e24\u4e2a\u6839\u53f7\u91cc\u90fd\u662f0
\u6240\u4ee5n=0+0+2/(-2-2)=-1/2
\u6240\u4ee5mn=-2*(-1/2)=1
\u6240\u4ee5\u221a(mn)=1




2\u3001
3²<10<4²
\u6240\u4ee53<\u221a10<4
\u6240\u4ee5\u6574\u6570\u90e8\u5206x=3
\u5c0f\u6570\u90e8\u5206y=\u221a10-3
\u6240\u4ee5(\u221a10+x)y=(\u221a10+3)(\u221a10-3)=(\u221a10)²-3²=10-9=1
\u6240\u4ee5\u67091\u5143
\u521d\u4e8c\uff08\u4e0a\uff09\u6570\u5b66\u590d\u4e60\u9898/20+/5\u2015\u2015/5-2\uff08\u6839\u53f75\u5206\u4e4b\u6839\u53f720+\u6839\u53f75-2\uff09
\u221a3-7\u221a12+5\u221a48

3\u221a2-(2\u221a12-4\u221a1/8+3\u221a48)

\u221a54-(\u221a1/6+2\u221a1/2-\u221a32+1/2\u221a24)

(\u221a24-3\u221a3/2+2\u221a8/3)\u00f7\u221a2

(2b\u221aa/b+a\u221aab)-(4a\u221aab\u4e09\u6b21\u65b9+a²\u221ab/a)

\u221a3/4\u4e582\u221a13/14\u00f72/3\u221a13/9

3/8\u221a48\u4e58(\u526f3\u221a4x/3)(\u526f1/6\u221ax)

x-y/\u221ax+\u221ay-x+y-2\u221axy/\u221ax-\u221ay(x>y)

2\u221a3(3\u221a2-5\u221a18+2\u221a32)

(2-3\u221a3)(2+3\u221a3)+(3\u221a3-2)²


2x^2+mx-4=0\u7684\u4e00\u6839

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\u56e0\u4e3a\u5982\u679c\u4e2d\u5c9b\u6c11\u8bf4 \u662f \u82e5\u5927\u5c9b\u6c11\u8bf4\u7684\u662f\u771f\u8bdd\u3001\u90a3\u4e48\u4e2d\u5c9b\u6c11\u8bf4\u7684\u4e5f\u662f\u771f\u8bdd\u3001\u90a3\u4e48\u5b9d\u85cf\u5c31\u4e00\u5b9a\u5728\u5c71\u4e0a \u82e5\u5927\u5c9b\u6c11\u8bf4\u7684\u662f\u5047\u8bdd\uff0c\u90a3\u4e48\u4e2d\u5c9b\u6c11\u8bf4\u7684\u4e5f\u662f\u5047\u8bdd\uff0c\u90a3\u4e48\u5176\u5b9e\u5927\u5c9b\u6c11\u662f\u8bf4\uff0c\u5b9d\u85cf\u5728\u5c71\u4e0b\u7684\uff0c\u4f46 \u662f\u56e0\u4e3a\u8fd9\u662f\u5047\u7684\uff0c\u6240\u4ee5\u5b9d\u85cf\u8fd8\u662f\u5728\u5c71\u4e0a\u7684\u3002
9.\u8bf4\u4e00\u4e2a\u5c4b\u91cc\u6709\u591a\u4e2a\u684c\u5b50\uff0c\u6709\u591a\u4e2a\u4eba\uff1f \u5982\u679c 3 \u4e2a\u4eba\u4e00\u684c\uff0c\u591a 2 \u4e2a\u4eba\u3002 \u5982\u679c 5 \u4e2a\u4eba\u4e00\u684c\uff0c\u591a 4 \u4e2a\u4eba\u3002 \u5982\u679c 7 \u4e2a\u4eba\u4e00\u684c\uff0c\u591a 6 \u4e2a\u4eba\u3002 \u5982\u679c 9 \u4e2a\u4eba\u4e00\u684c\uff0c\u591a 8 \u4e2a\u4eba\u3002 \u5982\u679c 11 \u4e2a\u4eba\u4e00\u684c\uff0c\u6b63\u597d\u3002 \u8bf7\u95ee\u8fd9\u5c4b\u91cc\u591a\u5c11\u4eba \u7b54\u6848\uff1a2519 \u4e2a\u4eba\u3002\u53ea\u8981\u662f 315\u00d7\uff0811X+8\uff09-1 \u90fd\u53ef\u4ee5 \u56e0\u4e3a 9 \u662f 3 \u7684 3 \u500d\u6240\u4ee5 3 \u4e0d\u7b97 \u6839\u636e\u9898\u76ee\u53ef\u4ee5\u5f97\u51fa\u89c4\u5f8b \u662f 5\u3001 7 \u30019 \u7684\u500d\u6570\u5c11\u4e00 \u4e8e\u662f\u5c06 5\u00d77\u00d79=315 \u7136\u540e\u7b97\u51fa 315 \u7684\u500d\u6570\u9664\u4ee5 11 \u7684\u5468\u671f \u5f97\u51fa\u5468\u671f\u4e3a\uff1a7 3 10 6 2 9 5 1 8 4 0 \u5171 11 \u4e2a\uff0c\u56e0\u4e3a\u662f\u9664\u4ee5 11 \u7684\u561b\uff0c\u6709\u7b80\u4fbf\u7b97\u6cd5\u4e0d\u7528\u4e00\u4e2a\u4e2a\u8bd5 \u7684 \u56e0\u4e3a 315-1 \u8981\u88ab 11 \u6574\u9664..\u6240\u4ee5\u53d6\u5468\u671f\u4f59 1 \u7684\u3002
10.\u6709\u4eba\u60f3\u4e70\u51e0\u5957\u9910\u5177\uff0c\u5230\u9910\u5177\u5e97\u770b\u4e86\u540e\uff0c\u53d1\u73b0\u81ea\u5df1\u5e26\u7684\u94b1\u53ef\u4ee5\u4e70 21 \u628a\u53c9\u5b50\u548c 21 \u628a\u52fa\u5b50\uff0c \u6216\u8005 28 \u628a\u5c0f\u5200\u3002\u5982\u679c\u4ed6\u4e70\u7684\u53c9\u5b50\uff0c\u52fa\u5b50\uff0c\u5c0f\u5200\u6570\u91cf\u4e0d\u7edf\u4e00\uff0c\u5c31\u65e0\u6cd5\u914d\u6210\u5957\uff0c\u6240\u4ee5\u4ed6\u5fc5\u987b\u4e70 \u540c\u6837\u591a\u7684\u53c9\u5b50\uff0c\u52fa\u5b50\uff0c\u5c0f\u5200\uff0c\u5e76\u4e14\u6b63\u597d\u5c06\u8eab\u4e0a\u7684\u94b1\u7528\u5b8c\u3002\u5982\u679c\u4f60\u662f\u8fd9\u4e2a\u4eba\uff0c\u4f60\u8be5\u600e\u4e48\u529e\uff1f \u7b54\u6848\uff1a\u53ef\u4ee5\u4e70 12 \u526f\u9910\u5177\u3002 \u4e00\u628a\u52fa\u5b50\u548c\u53c9\u5b50\u7684\u94b1\u662f 1/21 \u4e00\u628a\u5c0f\u5200\u7684\u94b1\u662f 1/28.. \u4e00\u5957\u7684\u603b\u4ef7\u662f 1/21+1/28=1/12..
\u6240\u4ee5\u53ef\u4ee5\u4e70 12 \u5957..\u6240\u6709\u94b1\u90fd\u7528\u5b8c\u4e86\u3002
\u65c1\u95e8\u5de6\u9053\u8bdd\u8da3\u5473 4\uff1d5 \uff1f \u5927\u8c61\u7684\u91cd\u91cf\uff1d\u868a\u5b50\u7684\u91cd\u91cf \uff1f
\u7b54\u6848\uff1a 4\uff1d5 \u7684\u8bc1\u660e
\u89e3\uff1a
16\uff0d36\uff1d25\uff0d45
4²\uff0d2 x4 x9/2\uff1d5²\uff0d2 x5x 9/2
\u4e24\u8fb9\u540c\u65f6\u52a0\u4e0a\uff089/2\uff09² \uff0c\u5f97\uff1a
4²\uff0d2 x4 x9/2 \uff0b\uff089/2\uff09² \uff1d5²\uff0d2 x5 x9/2 \uff0b\uff089/2\uff09²
\u6839\u636e\u5dee\u5e73\u65b9\u516c\u5f0f\uff0c\uff08a\uff0db\uff09² \uff1da²\uff0d2ab\uff0bb² \uff0c\u5f97\uff1a
\uff084\uff0d9/2\uff09² \uff1d\uff085\uff0d9/2\uff09²
\u4e24\u8fb9\u540c\u65f6\u5f00\u65b9\uff0c\u5f97\uff1a
4\uff0d9/2\uff1d5\uff0d9/2
\u4e24\u8fb9\u540c\u65f6\u51cf\u53bb\uff08\uff0d9/2\uff09\uff0c\u5f97\uff1a
4\uff1d5


\u5927\u8c61\u548c\u868a\u5b50\u4e00\u6837\u91cd \uff08\u8da3\u5473\u9898\u76ee\uff09
\u5927\u8c61\u548c\u868a\u5b50\u54ea\u4e2a\u91cd\uff1f\u5f53\u7136\u662f\u5927\u8c61\u91cd\uff0c\u4e0d\u8fc7\u5728\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u6709\u65f6\u4f1a\u5f97\u51fa\u4ee4\u4eba\u83ab\u540d\u5176\u5999\u7684\u7ed3\u679c\u3002
\u8bbe\u5927\u8c61\u4f53\u91cd\u4e3ax\u5343\u514b\uff0c\u868a\u5b50\u4f53\u91cd\u4e3ay\u5343\u514b\uff0c\u5e73\u5747\u4f53\u91cd\u4e3aA\u5343\u514b\u3002\u636e\u6b64\u53ef\u5217\u51fa\u7b49\u5f0f
x+y=2A \u2026\u2026\u2026\u2026\u2026\u2026\u2026\uff081\uff09
\u7b49\u5f0f\u53ef\u4ee5\u53d8\u5f62\uff0c\u56e0\u6b64 x=2A-y ..............(2)
x-2A=-y ..............(3)

\uff082\uff09\u00d7\uff083\uff09\u53c8\u53ef\u5f97
x^2-2Ax= -2A+y^2 \u2026\u2026\u2026\u2026\u2026\u2026\uff084\uff09
\u7b49\u5f0f\u4e24\u8fb9\u52a0A^2\uff0c\u53c8\u53ef\u5f97
x^2-2Ax+A^2= y^2-2Ay+A^2
\u5373\uff1a\uff08x-A\uff09^2=\uff08y-A\uff09^2\u2026\u2026\u2026\u2026\u2026\u2026\uff085\uff09
\uff085\uff09\u5f0f\u4e24\u8fb9\u5f00\u5e73\u65b9\u5f97
x-A = y \u2013A \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\uff086\uff09
\u2234x=y
\u8fd9\u6837\u6211\u4eec\u5c31\u8bc1\u660e\u4e86\u5927\u8c61\u548c\u868a\u5b50\u7684\u4f53\u91cd\u4e00\u6837\u3002\u8fd9\u4e2a\u7ed3\u8bba\u80af\u5b9a\u662f\u9519\u8bef\u7684\u3002\u9519\u5728\u54ea\u91cc\u5462\uff1f\u8fd9\u5c31\u5f15\u5bfc\u4eba\u4eec\u601d\u8003\uff0c\u7ed3\u679c\u7ec8\u4e8e\u53d1\u73b0\u9519\u8bef\u51fa\u73b0\u5728\u7b2c\uff085\uff09\u5230\u7b2c\uff086\uff09\u6b65\u7684\u63a8\u8bba\u3002\u5728\u8fd9\u4e00\u8fc7\u7a0b\u4e2d\u9700\u8981\u52a0\u6ce8\u6761\u4ef6\u3002
\u56e0\u4e3a\u67d0\u6570\u5f00\u5e73\u65b9\u65f6\u4f1a\u51fa\u73b0\u6b63\u8d1f\u6839\uff0c\u5373\uff1a

\u53c8\u56e0\u4e3ay<A<x
\u56e0\u800c\u5f97y-A<0
\u4e8e\u662f\u6709
\u6240\u4ee5\uff085\uff09\u5f0f\u5230\uff086\uff09\u5f0f\u5f00\u5e73\u65b9\u540e\uff0c\u5e94\u4e3a
x-A=A-y\u800c\u4e0d\u662f x-A=y-A
\u5982\u679c\u6211\u4eec\u5728\u5f00\u5e73\u65b9\u65f6\u4e0d\u5bf9\u53ef\u80fd\u51fa\u73b0\u7684\u5404\u79cd\u60c5\u51b5\u52a0\u4ee5\u8bf4\u660e\uff0c\u5c31\u4f1a\u5bfc\u81f4\u6096\u8bba\u7684\u51fa\u73b0\u3002\u5b9e\u9645\u4e0a\uff0c\u5728\u6570\u5b66\u53d1\u5c55\u8fc7\u7a0b\u4e2d\uff0c\u5728\u8bb8\u591a\u5730\u65b9\u4e0d\u65ad\u5730\u53d1\u73b0\u548c\u5f25\u8865\u6096\u8bba\u6240\u663e\u793a\u51fa\u6765\u7684\u88c2\u7f1d\uff0c\u624d\u4f7f\u6570\u5b66\u5927\u53a6\u8d8a\u6765\u8d8a\u575a\u56fa\u7a33\u5b9a\u3002\u6096\u8bba\u7684\u51fa\u73b0\u5e76\u4e0d\u53ef\u6015\uff0c\u4ece\u67d0\u79cd\u610f\u4e49\u4e0a\u8bf4\uff0c\u5b83\u662f\u63a8\u52a8\u6570\u5b66\u8fdb\u6b65\u53d1\u5c55\u7684\u52a8\u529b

  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 

  2. 1) 66x+17y=3967
    25x+y=1200
    答案:x=48 y=47
    (2) 18x+23y=2303
    74x-y=1998
    答案:x=27 y=79
    (3) 44x+90y=7796
    44x+y=3476
    答案:x=79 y=48
    (4) 76x-66y=4082
    30x-y=2940
    答案:x=98 y=51
    (5) 67x+54y=8546
    71x-y=5680
    答案:x=80 y=59
    (6) 42x-95y=-1410
    21x-y=1575
    答案:x=75 y=48
    (7) 47x-40y=853
    34x-y=2006
    答案:x=59 y=48
    (8) 19x-32y=-1786
    75x+y=4950
    答案:x=66 y=95
    (9) 97x+24y=7202
    58x-y=2900
    答案:x=50 y=98
    (10) 42x+85y=6362
    63x-y=1638
    答案:x=26 y=62
    (11) 85x-92y=-2518
    27x-y=486
    答案:x=18 y=44
    (12) 79x+40y=2419
    56x-y=1176
    答案:x=21 y=19
    (13) 80x-87y=2156
    22x-y=880
    答案:x=40 y=12
    (14) 32x+62y=5134
    57x+y=2850
    答案:x=50 y=57
    (15) 83x-49y=82
    59x+y=2183
    答案:x=37 y=61
    (16) 91x+70y=5845
    95x-y=4275
    答案:x=45 y=25
    (17) 29x+44y=5281
    88x-y=3608
    答案:x=41 y=93
    (18) 25x-95y=-4355
    40x-y=2000
    答案:x=50 y=59
    (19) 54x+68y=3284
    78x+y=1404
    答案:x=18 y=34
    (20) 70x+13y=3520
    52x+y=2132
    答案:x=41 y=50
    (21) 48x-54y=-3186
    24x+y=1080
    答案:x=45 y=99
    (22) 36x+77y=7619
    47x-y=799
    答案:x=17 y=91
    (23) 13x-42y=-2717
    31x-y=1333
    答案:x=43 y=78
    (24) 28x+28y=3332
    52x-y=4628
    答案:x=89 y=30
    (25) 62x-98y=-2564
    46x-y=2024
    答案:x=44 y=54
    (26) 79x-76y=-4388
    26x-y=832
    答案:x=32 y=91
    (27) 63x-40y=-821
    42x-y=546
    答案:x=13 y=41
    (28) 69x-96y=-1209
    42x+y=3822
    答案:x=91 y=78
    (29) 85x+67y=7338
    11x+y=308
    答案:x=28 y=74
    (30) 78x+74y=12928
    14x+y=1218
    答案:x=87 y=83
    (31) 39x+42y=5331
    59x-y=5841
    答案:x=99 y=35
    (32) 29x+18y=1916
    58x+y=2320
    答案:x=40 y=42
    (33) 40x+31y=6043
    45x-y=3555
    答案:x=79 y=93
    (34) 47x+50y=8598
    45x+y=3780
    答案:x=84 y=93
    (35) 45x-30y=-1455
    29x-y=725
    答案:x=25 y=86
    (36) 11x-43y=-1361
    47x+y=799
    答案:x=17 y=36
    (37) 33x+59y=3254
    94x+y=1034
    答案:x=11 y=49
    (38) 89x-74y=-2735
    68x+y=1020
    答案:x=15 y=55
    (39) 94x+71y=7517
    78x+y=3822
    答案:x=49 y=41
    (40) 28x-62y=-4934
    46x+y=552
    答案:x=12 y=85
    (41) 75x+43y=8472
    17x-y=1394
    答案:x=82 y=54
    (42) 41x-38y=-1180
    29x+y=1450
    答案:x=50 y=85
    (43) 22x-59y=824
    63x+y=4725
    答案:x=75 y=14
    (44) 95x-56y=-401
    90x+y=1530
    答案:x=17 y=36
    (45) 93x-52y=-852
    29x+y=464
    答案:x=16 y=45
    (46) 93x+12y=8823
    54x+y=4914
    答案:x=91 y=30
    (47) 21x-63y=84
    20x+y=1880
    答案:x=94 y=30
    (48) 48x+93y=9756
    38x-y=950
    答案:x=25 y=92
    (49) 99x-67y=4011
    75x-y=5475
    答案:x=73 y=48
    (50) 83x+64y=9291
    90x-y=3690
    答案:x=41 y=92
    (51) 17x+62y=3216
    75x-y=7350
    答案:x=98 y=25
    (52) 77x+67y=2739
    14x-y=364
    答案:x=26 y=11
    (53) 20x-68y=-4596
    14x-y=924
    答案:x=66 y=87
    (54) 23x+87y=4110
    83x-y=5727
    答案:x=69 y=29
    (55) 22x-38y=804
    86x+y=6708
    答案:x=78 y=24
    (56) 20x-45y=-3520
    56x+y=728
    答案:x=13 y=84
    (57) 46x+37y=7085
    61x-y=4636
    答案:x=76 y=97
    (58) 17x+61y=4088
    71x+y=5609
    答案:x=79 y=45
    (59) 51x-61y=-1907
    89x-y=2314
    答案:x=26 y=53
    (60) 69x-98y=-2404
    21x+y=1386
    答案:x=66 y=71
    (61) 15x-41y=754
    74x-y=6956
    答案:x=94 y=16
    (62) 78x-55y=656
    89x+y=5518
    答案:x=62 y=76
    (63) 29x+21y=1633
    31x-y=713
    答案:x=23 y=46
    (64) 58x-28y=2724
    35x+y=3080
    答案:x=88 y=85
    (65) 28x-63y=-2254
    88x-y=2024
    答案:x=23 y=46
    (66) 43x+50y=7064
    85x+y=8330
    答案:x=98 y=57
    (67) 58x-77y=1170
    38x-y=2280
    答案:x=60 y=30
    (68) 92x+83y=11586
    43x+y=3010
    答案:x=70 y=62
    (69) 99x+82y=6055
    52x-y=1716
    答案:x=33 y=34
    (70) 15x+26y=1729
    94x+y=8554
    答案:x=91 y=14
    (71) 64x+32y=3552
    56x-y=2296
    答案:x=41 y=29
    (72) 94x+66y=10524
    84x-y=7812
    答案:x=93 y=27
    (73) 65x-79y=-5815
    89x+y=2314
    答案:x=26 y=95
    (74) 96x+54y=6216
    63x-y=1953
    答案:x=31 y=60
    (75) 60x-44y=-352
    33x-y=1452
    答案:x=44 y=68
    (76) 79x-45y=510
    14x-y=840
    答案:x=60 y=94
    (77) 29x-35y=-218
    59x-y=4897
    答案:x=83 y=75
    (78) 33x-24y=1905
    30x+y=2670
    答案:x=89 y=43
    (79) 61x+94y=11800
    93x+y=5952
    答案:x=64 y=84
    (80) 61x+90y=5001
    48x+y=2448
    答案:x=51 y=21
    (81) 93x-19y=2
    86x-y=1548
    答案:x=18 y=88
    (82) 19x-96y=-5910
    30x-y=2340
    答案:x=78 y=77
    (83) 80x+74y=8088
    96x-y=8640
    答案:x=90 y=12
    (84) 53x-94y=1946
    45x+y=2610
    答案:x=58 y=12
    (85) 93x+12y=9117
    28x-y=2492
    答案:x=89 y=70
    (86) 66x-71y=-1673
    99x-y=7821
    答案:x=79 y=97
    (87) 43x-52y=-1742
    76x+y=1976
    答案:x=26 y=55
    (88) 70x+35y=8295
    40x+y=2920
    答案:x=73 y=91
    (89) 43x+82y=4757
    11x+y=231
    答案:x=21 y=47
    (90) 12x-19y=236
    95x-y=7885
    答案:x=83 y=40
    (91) 51x+99y=8031
    71x-y=2911
    答案:x=41 y=60
    (92) 37x+74y=4403
    69x-y=6003
    答案:x=87 y=16
    (93) 46x+34y=4820
    71x-y=5183
    答案:x=73 y=43
    (94) 47x+98y=5861
    55x-y=4565
    答案:x=83 y=20
    (95) 30x-17y=239
    28x+y=1064
    答案:x=38 y=53
    (96) 55x-12y=4112
    79x-y=7268
    答案:x=92 y=79
    (97) 27x-24y=-450
    67x-y=3886
    答案:x=58 y=84
    (98) 97x+23y=8119
    14x+y=966
    答案:x=69 y=62
    (99) 84x+53y=11275
    70x+y=6790
    答案:x=97 y=59
    (100) 51x-97y=297
    19x-y=1520
    答案:x=80 y=39



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