十字相乘法的题目（越多越好） 求多道 十字相乘 的题目``我要练习`
\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u9898\u76ee\uff0c\u4f8b1 \u628a2x^2;-7x+3\u5206\u89e3\u56e0\u5f0f.
\u5206\u6790\uff1a\u5148\u5206\u89e3\u4e8c\u6b21\u9879\u7cfb\u6570\uff0c\u5206\u522b\u5199\u5728\u5341\u5b57\u4ea4\u53c9\u7ebf\u7684\u5de6\u4e0a\u89d2\u548c\u5de6\u4e0b\u89d2\uff0c\u518d\u5206\u89e3\u5e38\u6570\u9879\uff0c\u5206
\u522b\u5199\u5728\u5341\u5b57\u4ea4\u53c9\u7ebf\u7684\u53f3\u4e0a\u89d2\u548c\u53f3\u4e0b\u89d2\uff0c\u7136\u540e\u4ea4\u53c9\u76f8\u4e58\uff0c\u6c42\u4ee3\u6570\u548c\uff0c\u4f7f\u5176\u7b49\u4e8e\u4e00\u6b21\u9879\u7cfb\u6570.
\u5206\u89e3\u4e8c\u6b21\u9879\u7cfb\u6570(\u53ea\u53d6\u6b63\u56e0\u6570)\uff1a
2\uff1d1\u00d72\uff1d2\u00d71\uff1b
\u5206\u89e3\u5e38\u6570\u9879\uff1a
3=1\u00d73=3\u00d71=(-3)\u00d7(-1)=(-1)\u00d7(-3).
\u7528\u753b\u5341\u5b57\u4ea4\u53c9\u7ebf\u65b9\u6cd5\u8868\u793a\u4e0b\u5217\u56db\u79cd\u60c5\u51b5\uff1a
1 1
\u2573
2 3
1\u00d73+2\u00d71
=5
1 3
\u2573
2 1
1\u00d71+2\u00d73
=7
1 -1
\u2573
2 -3
1\u00d7(-3)+2\u00d7(-1)
=-5
1 -3
\u2573
2 -1
1\u00d7(-1)+2\u00d7(-3)
=-7
\u7ecf\u8fc7\u89c2\u5bdf\uff0c\u7b2c\u56db\u79cd\u60c5\u51b5\u662f\u6b63\u786e\u7684\uff0c\u8fd9\u662f\u56e0\u4e3a\u4ea4\u53c9\u76f8\u4e58\u540e\uff0c\u4e24\u9879\u4ee3\u6570\u548c\u6070\u7b49\u4e8e\u4e00\u6b21\u9879\u7cfb\u6570\uff0d7.
\u89e3 2x^2;-7x+3=(x-3)(2x-1).
\u4e00\u822c\u5730\uff0c\u5bf9\u4e8e\u4e8c\u6b21\u4e09\u9879\u5f0fax2+bx+c(a\u22600)\uff0c\u5982\u679c\u4e8c\u6b21\u9879\u7cfb\u6570a\u53ef\u4ee5\u5206\u89e3\u6210\u4e24\u4e2a\u56e0\u6570\u4e4b\u79ef\uff0c\u5373a=a1a2\uff0c\u5e38\u6570\u9879c\u53ef\u4ee5\u5206\u89e3\u6210\u4e24\u4e2a\u56e0\u6570\u4e4b\u79ef\uff0c\u5373c=c1c2\uff0c\u628aa1\uff0ca2\uff0cc1\uff0cc2\uff0c\u6392\u5217\u5982\u4e0b\uff1a
a1 c1
� \u2573
a2 c2
a1a2+a2c1
\u6309\u659c\u7ebf\u4ea4\u53c9\u76f8\u4e58\uff0c\u518d\u76f8\u52a0\uff0c\u5f97\u5230a1c2+a2c1\uff0c\u82e5\u5b83\u6b63\u597d\u7b49\u4e8e\u4e8c\u6b21\u4e09\u9879\u5f0fax2+bx+c\u7684\u4e00\u6b21\u9879\u7cfb\u6570b\uff0c\u5373a1c2+a2c1=b\uff0c\u90a3\u4e48\u4e8c\u6b21\u4e09\u9879\u5f0f\u5c31\u53ef\u4ee5\u5206\u89e3\u4e3a\u4e24\u4e2a\u56e0\u5f0fa1x+c1\u4e0ea2x+c2\u4e4b\u79ef\uff0c\u5373
ax2+bx+c=(a1x+c1)(a2x+c2).
\u50cf\u8fd9\u79cd\u501f\u52a9\u753b\u5341\u5b57\u4ea4\u53c9\u7ebf\u5206\u89e3\u7cfb\u6570\uff0c\u4ece\u800c\u5e2e\u52a9\u6211\u4eec\u628a\u4e8c\u6b21\u4e09\u9879\u5f0f\u5206\u89e3\u56e0\u5f0f\u7684\u65b9\u6cd5\uff0c\u901a\u5e38\u53eb\u505a\u5341\u5b57\u76f8\u4e58\u6cd5.
\u4f8b2 \u628a6x^2-7x-5\u5206\u89e3\u56e0\u5f0f.
\u5206\u6790\uff1a\u6309\u7167\u4f8b1\u7684\u65b9\u6cd5\uff0c\u5206\u89e3\u4e8c\u6b21\u9879\u7cfb\u65706\u53ca\u5e38\u6570\u9879-5\uff0c\u628a\u5b83\u4eec\u5206\u522b\u6392\u5217\uff0c\u53ef\u67098\u79cd\u4e0d\u540c\u7684\u6392\u5217\u65b9\u6cd5\uff0c\u5176\u4e2d\u7684\u4e00\u79cd
2 1
\u2573
3 -5
2\u00d7(-5)+3\u00d71=-7
\u662f\u6b63\u786e\u7684\uff0c\u56e0\u6b64\u539f\u591a\u9879\u5f0f\u53ef\u4ee5\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u56e0\u5f0f.
\u89e3 6x^2-7x-5=(2x+1)(3x-5)
\u6307\u51fa\uff1a\u901a\u8fc7\u4f8b1\u548c\u4f8b2\u53ef\u4ee5\u770b\u5230\uff0c\u8fd0\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u628a\u4e00\u4e2a\u4e8c\u6b21\u9879\u7cfb\u6570\u4e0d\u662f1\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\uff0c\u5f80\u5f80\u8981\u7ecf\u8fc7\u591a\u6b21\u89c2\u5bdf\uff0c\u624d\u80fd\u786e\u5b9a\u662f\u5426\u53ef\u4ee5\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u56e0\u5f0f.
\u5bf9\u4e8e\u4e8c\u6b21\u9879\u7cfb\u6570\u662f1\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u4e5f\u53ef\u4ee5\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u56e0\u5f0f\uff0c\u8fd9\u65f6\u53ea\u9700\u8003\u8651\u5982\u4f55\u628a\u5e38\u6570\u9879\u5206\u89e3\u56e0\u6570.\u4f8b\u5982\u628ax^2+2x-15\u5206\u89e3\u56e0\u5f0f\uff0c\u5341\u5b57\u76f8\u4e58\u6cd5\u662f
1 -3
\u2573
1 5
1\u00d75+1\u00d7(-3)=2
\u6240\u4ee5x^2+2x-15=(x-3)(x+5).
\u4f8b3 \u628a5x^2+6xy-8y^2\u5206\u89e3\u56e0\u5f0f.
\u5206\u6790\uff1a\u8fd9\u4e2a\u591a\u9879\u5f0f\u53ef\u4ee5\u770b\u4f5c\u662f\u5173\u4e8ex\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u628a-8y^2\u770b\u4f5c\u5e38\u6570\u9879\uff0c\u5728\u5206\u89e3\u4e8c\u6b21\u9879\u53ca\u5e38\u6570\u9879\u7cfb\u6570\u65f6\uff0c\u53ea\u9700\u5206\u89e35\u4e0e-8\uff0c\u7528\u5341\u5b57\u4ea4\u53c9\u7ebf\u5206\u89e3\u540e\uff0c\u7ecf\u8fc7\u89c2\u5bdf\uff0c\u9009\u53d6\u5408\u9002\u7684\u4e00\u7ec4\uff0c\u5373
1 2
�\u2573
5 -4
1\u00d7(-4)+5\u00d72=6
\u89e3 5x^2+6xy-8y^2=(x+2y)(5x-4y).
\u6307\u51fa\uff1a\u539f\u5f0f\u5206\u89e3\u4e3a\u4e24\u4e2a\u5173\u4e8ex\uff0cy\u7684\u4e00\u6b21\u5f0f.
\u4f8b4 \u628a(x-y)(2x-2y-3)-2\u5206\u89e3\u56e0\u5f0f.
\u5206\u6790\uff1a\u8fd9\u4e2a\u591a\u9879\u5f0f\u662f\u4e24\u4e2a\u56e0\u5f0f\u4e4b\u79ef\u4e0e\u53e6\u4e00\u4e2a\u56e0\u6570\u4e4b\u5dee\u7684\u5f62\u5f0f\uff0c\u53ea\u6709\u5148\u8fdb\u884c\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\u8fd0\u7b97\uff0c\u628a\u53d8\u5f62\u540e\u7684\u591a\u9879\u5f0f\u518d\u56e0\u5f0f\u5206\u89e3.
\u95ee\uff1a\u4e24\u4e0a\u4e58\u79ef\u7684\u56e0\u5f0f\u662f\u4ec0\u4e48\u7279\u70b9\uff0c\u7528\u4ec0\u4e48\u65b9\u6cd5\u8fdb\u884c\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\u8fd0\u7b97\u6700\u7b80\u4fbf?
\u7b54\uff1a\u7b2c\u4e8c\u4e2a\u56e0\u5f0f\u4e2d\u7684\u524d\u4e24\u9879\u5982\u679c\u63d0\u51fa\u516c\u56e0\u5f0f2\uff0c\u5c31\u53d8\u4e3a2(x-y)\uff0c\u5b83\u662f\u7b2c\u4e00\u4e2a\u56e0\u5f0f\u7684\u4e8c\u500d\uff0c\u7136\u540e\u628a(x-y)\u770b\u4f5c\u4e00\u4e2a\u6574\u4f53\u8fdb\u884c\u4e58\u6cd5\u8fd0\u7b97\uff0c\u53ef\u628a\u539f\u591a\u9879\u5f0f\u53d8\u5f62\u4e3a\u5173\u4e8e(x-y)\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u5c31\u53ef\u4ee5\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u56e0\u5f0f\u4e86.
\u89e3 (x-y)(2x-2y-3)-2
=(x-y)[2(x-y)-3]-2
=2(x-y) ^2-3(x-y)-2
=[(x-y)-2][2(x-y)+1]
=(x-y-2)(2x-2y+1).
1 -2
\u2573
2 1
1\u00d71+2\u00d7(-2)=\uff0d3
\u6307\u51fa\uff1a\u628a(x-y)\u770b\u4f5c\u4e00\u4e2a\u6574\u4f53\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u8fd9\u53c8\u662f\u8fd0\u7528\u4e86\u6570\u5b66\u4e2d\u7684\u201c\u6574\u4f53\u201d\u601d\u60f3\u65b9\u6cd5.
\u4f8b5 x^2+2x-15
\u5206\u6790\uff1a\u5e38\u6570\u9879(-15)<0\uff0c\u53ef\u5206\u89e3\u6210\u5f02\u53f7\u4e24\u6570\u7684\u79ef\uff0c\u53ef\u5206\u89e3\u4e3a(-1)(15)\uff0c\u6216(1)(-15)\u6216(3)
(-5)\u6216(-3)(5)\uff0c\u5176\u4e2d\u53ea\u6709(-3)(5)\u4e2d-3\u548c5\u7684\u548c\u4e3a2\u3002
=(x-3)(x+5)
\u603b\u7ed3\uff1a\u2460x^2\uff0b\uff08p+q\uff09x\uff0bpq\u578b\u7684\u5f0f\u5b50\u7684\u56e0\u5f0f\u5206\u89e3
\u8fd9\u7c7b\u4e8c\u6b21\u4e09\u9879\u5f0f\u7684\u7279\u70b9\u662f\uff1a\u4e8c\u6b21\u9879\u7684\u7cfb\u6570\u662f1\uff1b\u5e38\u6570\u9879\u662f\u4e24\u4e2a\u6570\u7684\u79ef\uff1b\u4e00\u6b21\u9879\u7cfb\u6570\u662f\u5e38\u6570\u9879\u7684\u4e24\u4e2a\u56e0\u6570\u7684\u548c.\u56e0\u6b64\uff0c\u53ef\u4ee5\u76f4\u63a5\u5c06\u67d0\u4e9b\u4e8c\u6b21\u9879\u7684\u7cfb\u6570\u662f1\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f\u56e0\u5f0f\u5206\u89e3\uff1a x^2\uff0b(p+q)x\uff0bpq\uff1d(x\uff0bp)(x\uff0bq)
\u2461kx^2\uff0bmx\uff0bn\u578b\u7684\u5f0f\u5b50\u7684\u56e0\u5f0f\u5206\u89e3
\u5982\u679c\u80fd\u591f\u5206\u89e3\u6210k\uff1dac\uff0cn\uff1dbd\uff0c\u4e14\u6709ad\uff0bbc\uff1dm \u65f6\uff0c\u90a3\u4e48
kx^2\uff0bmx\uff0bn\uff1d(ax+b)(cx+d)
a b
\u2573
c d
1.x^2+2x-8
2.x^2+3x-10
3.x^2-x-20
4.x^2+x-6
5.2x^2+5x-3
6.6x^2+4x-2
7.x^2-2x-3
8.x^2+6x+8
9.x^2-x-12
10.x^2-7x+10
11.6x^2+x+2
12.4x^2+4x-3
\u89e3\u65b9\u7a0b\uff1a\uff08x\u7684\u5e73\u65b9+5x-6\uff09\u5206\u4e4b\u4e00=\uff08x\u7684\u5e73\u65b9+x+6\uff09\u5206\u4e4b\u4e00
\u5341\u5b57\u76f8\u4e58\u6cd5\u867d\u7136\u6bd4\u8f83\u96be\u5b66,\u4f46\u662f\u4e00\u65e6\u5b66\u4f1a\u4e86\u5b83,\u7528\u5b83\u6765\u89e3\u9898,\u4f1a\u7ed9\u6211\u4eec\u5e26\u6765\u5f88\u591a\u65b9\u4fbf,\u4ee5\u4e0b\u662f\u6211\u5bf9\u5341\u5b57\u76f8\u4e58\u6cd5\u63d0\u51fa\u7684\u4e00\u4e9b\u4e2a\u4eba\u89c1\u89e3\u3002
1\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u65b9\u6cd5\uff1a\u5341\u5b57\u5de6\u8fb9\u76f8\u4e58\u7b49\u4e8e\u4e8c\u6b21\u9879\u7cfb\u6570\uff0c\u53f3\u8fb9\u76f8\u4e58\u7b49\u4e8e\u5e38\u6570\u9879\uff0c\u4ea4\u53c9\u76f8\u4e58\u518d\u76f8\u52a0\u7b49\u4e8e\u4e00\u6b21\u9879\u7cfb\u6570\u3002
2\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u7528\u5904\uff1a\uff081\uff09\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u5206\u89e3\u56e0\u5f0f\u3002\uff082\uff09\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u3002
3\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u4f18\u70b9\uff1a\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u89e3\u9898\u7684\u901f\u5ea6\u6bd4\u8f83\u5feb\uff0c\u80fd\u591f\u8282\u7ea6\u65f6\u95f4\uff0c\u800c\u4e14\u8fd0\u7528\u7b97\u91cf\u4e0d\u5927\uff0c\u4e0d\u5bb9\u6613\u51fa\u9519\u3002
4\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u7f3a\u9677\uff1a1\u3001\u6709\u4e9b\u9898\u76ee\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u89e3\u6bd4\u8f83\u7b80\u5355\uff0c\u4f46\u5e76\u4e0d\u662f\u6bcf\u4e00\u9053\u9898\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6765\u89e3\u90fd\u7b80\u5355\u30022\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u53ea\u9002\u7528\u4e8e\u4e8c\u6b21\u4e09\u9879\u5f0f\u7c7b\u578b\u7684\u9898\u76ee\u30023\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u6bd4\u8f83\u96be\u5b66\u3002
5\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u89e3\u9898\u5b9e\u4f8b\uff1a
1)\u3001 \u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u89e3\u4e00\u4e9b\u7b80\u5355\u5e38\u89c1\u7684\u9898\u76ee
\u4f8b1\u628am²+4m-12\u5206\u89e3\u56e0\u5f0f
\u5206\u6790\uff1a\u672c\u9898\u4e2d\u5e38\u6570\u9879-12\u53ef\u4ee5\u5206\u4e3a-1\u00d712\uff0c-2\u00d76\uff0c-3\u00d74\uff0c-4\u00d73\uff0c-6\u00d72\uff0c-12\u00d71\u5f53-12\u5206\u6210-2\u00d76\u65f6\uff0c\u624d\u7b26\u5408\u672c\u9898
\u89e3\uff1a\u56e0\u4e3a 1 -2
1 \u2573 6
\u6240\u4ee5m²+4m-12=\uff08m-2\uff09\uff08m+6\uff09
\u4f8b2\u628a5x²+6x-8\u5206\u89e3\u56e0\u5f0f
\u5206\u6790\uff1a\u672c\u9898\u4e2d\u76845\u53ef\u5206\u4e3a1\u00d75,-8\u53ef\u5206\u4e3a-1\u00d78\uff0c-2\u00d74\uff0c-4\u00d72\uff0c-8\u00d71\u3002\u5f53\u4e8c\u6b21\u9879\u7cfb\u6570\u5206\u4e3a1\u00d75\uff0c\u5e38\u6570\u9879\u5206\u4e3a-4\u00d72\u65f6\uff0c\u624d\u7b26\u5408\u672c\u9898
\u89e3\uff1a \u56e0\u4e3a 1 2
5 \u2573 -4
\u6240\u4ee55x²+6x-8=\uff08x+2\uff09\uff085x-4\uff09
\u4f8b3\u89e3\u65b9\u7a0bx²-8x+15=0
\u5206\u6790\uff1a\u628ax²-8x+15\u770b\u6210\u5173\u4e8ex\u7684\u4e00\u4e2a\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u521915\u53ef\u5206\u62101\u00d715\uff0c3\u00d75\u3002
\u89e3\uff1a \u56e0\u4e3a 1 -3
1 \u2573 -5
\u6240\u4ee5\u539f\u65b9\u7a0b\u53ef\u53d8\u5f62\uff08x-3\uff09\uff08x-5\uff09=0
\u6240\u4ee5x1=3 x2=5
\u4f8b4\u3001\u89e3\u65b9\u7a0b 6x²-5x-25=0
\u5206\u6790\uff1a\u628a6x²-5x-25\u770b\u6210\u4e00\u4e2a\u5173\u4e8ex\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u52196\u53ef\u4ee5\u5206\u4e3a1\u00d76\uff0c2\u00d73\uff0c-25\u53ef\u4ee5\u5206\u6210-1\u00d725\uff0c-5\u00d75\uff0c-25\u00d71\u3002
\u89e3\uff1a \u56e0\u4e3a 2 -5
3 \u2573 5
\u6240\u4ee5 \u539f\u65b9\u7a0b\u53ef\u53d8\u5f62\u6210\uff082x-5\uff09\uff083x+5\uff09=0
\u6240\u4ee5 x1=5/2 x2=-5/3
2)\u3001\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u89e3\u4e00\u4e9b\u6bd4\u8f83\u96be\u7684\u9898\u76ee
\u4f8b5\u628a14x²-67xy+18y²\u5206\u89e3\u56e0\u5f0f
\u5206\u6790\uff1a\u628a14x²-67xy+18y²\u770b\u6210\u662f\u4e00\u4e2a\u5173\u4e8ex\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f,\u521914\u53ef\u5206\u4e3a1\u00d714,2\u00d77, 18y²\u53ef\u5206\u4e3ay.18y , 2y.9y , 3y.6y
\u89e3: \u56e0\u4e3a 2 -9y
7 \u2573 -2y
\u6240\u4ee5 14x²-67xy+18y²= (2x-9y)(7x-2y)
\u4f8b6 \u628a10x²-27xy-28y²-x+25y-3\u5206\u89e3\u56e0\u5f0f
\u5206\u6790\uff1a\u5728\u672c\u9898\u4e2d\uff0c\u8981\u628a\u8fd9\u4e2a\u591a\u9879\u5f0f\u6574\u7406\u6210\u4e8c\u6b21\u4e09\u9879\u5f0f\u7684\u5f62\u5f0f
\u89e3\u6cd5\u4e00\u300110x²-27xy-28y²-x+25y-3
=10x²-\uff0827y+1\uff09x -\uff0828y²-25y+3\uff09 4y -3
7y \u2573 -1
=10x²-\uff0827y+1\uff09x -\uff084y-3\uff09\uff087y -1\uff09
=[2x -\uff087y -1\uff09][5x +\uff084y -3\uff09] 2 -\uff087y \u2013 1\uff09
5 \u2573 4y - 3
=\uff082x -7y +1\uff09\uff085x +4y -3\uff09
\u8bf4\u660e\uff1a\u5728\u672c\u9898\u4e2d\u5148\u628a28y²-25y+3\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u4e3a\uff084y-3\uff09\uff087y -1\uff09\uff0c\u518d\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u628a10x²-\uff0827y+1\uff09x -\uff084y-3\uff09\uff087y -1\uff09\u5206\u89e3\u4e3a[2x -\uff087y -1\uff09][5x +\uff084y -3\uff09]
\u89e3\u6cd5\u4e8c\u300110x²-27xy-28y²-x+25y-3
=\uff082x -7y\uff09\uff085x +4y\uff09-\uff08x -25y\uff09- 3 2 -7y
=[\uff082x -7y\uff09+1] [\uff085x -4y\uff09-3] 5 \u2573 4y
=\uff082x -7y+1\uff09\uff085x -4y -3\uff09 2 x -7y 1
5 x - 4y \u2573 -3
\u8bf4\u660e:\u5728\u672c\u9898\u4e2d\u5148\u628a10x²-27xy-28y²\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u4e3a\uff082x -7y\uff09\uff085x +4y\uff09,\u518d\u628a\uff082x -7y\uff09\uff085x +4y\uff09-\uff08x -25y\uff09- 3\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u4e3a[\uff082x -7y\uff09+1] [\uff085x -4y\uff09-3].
\u4f8b7\uff1a\u89e3\u5173\u4e8ex\u65b9\u7a0b\uff1ax²- 3ax + 2a²\u2013ab -b²=0
\u5206\u6790\uff1a2a²\u2013ab-b²\u53ef\u4ee5\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3
\u89e3\uff1ax²- 3ax + 2a²\u2013ab -b²=0
x²- 3ax +\uff082a²\u2013ab - b²\uff09=0
x²- 3ax +\uff082a+b\uff09\uff08a-b\uff09=0 1 -b
2 \u2573 +b
[x-\uff082a+b\uff09][ x-\uff08a-b\uff09]=0 1 -\uff082a+b\uff09
1 \u2573 -\uff08a-b\uff09
\u6240\u4ee5 x1=2a+b x2=a-b
6x^2-7x-5
5x^2+6xy-8y^2
(x-y)(2x-2y-3)-2
前面两个很简单
后面两个有点难度哦（对于初中生）
绛旓細瀵逛簬浜屾涓夐」寮忕殑鍒嗚В鍥犲紡锛屽熺敤涓涓崄瀛楀弶甯姪鎴戜滑鍒嗚В鍥犲紡锛岃繖绉嶆柟娉曞彨鍋鍗佸瓧鐩镐箻娉銆傝绠楃粨鏋滃搴斾负锛(x+2)(x+3) (x+2)(x+5)(x-1)(x-6) (x-3)(x-4)(x-2)(x-3) (x+2)(x+6)(x+1)(x+6) (a-1)(a-13)(a+2)(a-6) (a-2)(a+8)(a+2)(a-8)
绛旓細锛1锛墄²-6x+9=0 锛坸-3)(x-3)=0 x-3=0 x=3 锛2锛墄²-x-6=0 (x-3锛夛紙x+2)=0 x-3=0 x=3 x+2=0 x=-2 {x=3 {x=-2 锛3锛墄²-6x-16=0 锛坸-8)(x+2)=0 x-8=0 x=8 x+2=0 x=-2 {x=8 {x=-2 ...
绛旓細绛旓細1.鍘熷紡=(2n-3)(2n+5)2.鍘熷紡=(3a-7)(2a+5)3.鍘熷紡=(5x-13)(x+1)4.鍘熷紡=(4x+3)(x+3)5.鍘熷紡=(3x-1)(5x+2)6.鍘熷紡=(2y+5)(3y+2)7.鍘熷紡=-(4y+5)(5y-4)8.鍘熷紡=[7(x-1)-10(y+2)][(x-1)+2(y+2)]=(7x-10y-27)(x+2y+3)...
绛旓細22 6鈭3 4鈭6 (2鈭6)/9 鈭3 0.9鈭2 (鈭3)/2 (2/5)鈭5
绛旓細鍗佸瓧鍒嗚В娉曠殑鏂规硶绠鍗曟潵璁插氨鏄細鍗佸瓧宸﹁竟鐩镐箻绛変簬浜屾椤癸紝鍙宠竟鐩镐箻绛変簬甯告暟椤癸紝浜ゅ弶鐩镐箻鍐嶇浉鍔犵瓑浜庝竴娆￠」銆傚叾瀹炲氨鏄繍鐢涔樻硶鍏紡(x+a)(x+b)=x²+(a+b)x+ab鐨勯嗚繍绠楁潵杩涜鍥犲紡鍒嗚В銆傚崄瀛楀垎瑙ｆ硶鑳芥妸浜屾涓夐」寮忓垎瑙ｅ洜寮忥紙涓嶄竴瀹氬湪鏁存暟鑼冨洿鍐咃級銆傚浜庡舰濡俛x²+bx+c=(a1x+c1锛(a2x+...
绛旓細2)銆佺敤鍗佸瓧鐩镐箻娉瑙ｄ竴浜涙瘮杈冮毦鐨勯鐩 渚5鎶14x²-67xy+18y²鍒嗚В鍥犲紡 鍒嗘瀽锛氭妸14x²-67xy+18y²鐪嬫垚鏄竴涓叧浜巟鐨勪簩娆′笁椤瑰紡,鍒14鍙垎涓1脳14,2脳7,18y²鍙垎涓簓.18y ,2y.9y ,3y.6y 瑙:鍥犱负 2 -9y 7 鈺 -2y 鎵浠 14x²-67xy+18y²...
绛旓細3銆鍗佸瓧鐩镐箻娉曠殑浼樼偣锛氱敤鍗佸瓧鐩镐箻娉曟潵瑙ｉ鐨勯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閮界畝鍗曘2銆佸崄瀛楃浉涔樻硶鍙傜敤浜庝簩娆′笁椤瑰紡绫诲瀷鐨勯鐩銆3銆佸崄瀛楃浉涔樻硶姣旇緝闅惧銆5銆佸崄瀛楃浉涔樻硶瑙ｉ...
绛旓細2)銆佺敤鍗佸瓧鐩镐箻娉瑙ｄ竴浜涙瘮杈冮毦鐨勯鐩 渚5鎶14x²-67xy+18y²鍒嗚В鍥犲紡 鍒嗘瀽锛氭妸14x²-67xy+18y²鐪嬫垚鏄竴涓叧浜巟鐨勪簩娆′笁椤瑰紡,鍒14鍙垎涓1脳14,2脳7,18y²鍙垎涓簓.18y ,2y.9y ,3y.6y 瑙:鍥犱负 2 -9y 7 鈺 -2y 鎵浠 14x²-67xy+18y²...
绛旓細3銆鍗佸瓧鐩镐箻娉曠殑浼樼偣锛氱敤鍗佸瓧鐩镐箻娉曟潵瑙ｉ鐨勯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閮界畝鍗曘2銆佸崄瀛楃浉涔樻硶鍙傜敤浜庝簩娆′笁椤瑰紡绫诲瀷鐨勯鐩銆3銆佸崄瀛楃浉涔樻硶姣旇緝闅惧銆5銆佸崄瀛楃浉涔樻硶瑙ｉ...
绛旓細3銆鍗佸瓧鐩镐箻娉曠殑浼樼偣锛氱敤鍗佸瓧鐩镐箻娉曟潵瑙ｉ鐨勯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閮界畝鍗曘2銆佸崄瀛楃浉涔樻硶鍙傜敤浜庝簩娆′笁椤瑰紡绫诲瀷鐨勯鐩銆3銆佸崄瀛楃浉涔樻硶姣旇緝闅惧銆5銆佸崄瀛楃浉涔樻硶瑙ｉ...
