十字相乘法的技巧 怎么十字相乘，技巧
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3 =\uff082x -7y +1\uff09\uff085x +4y -3\uff09 \u8bf4\u660e\uff1a\u5728\u672c\u9898\u4e2d\u5148\u628a28y-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\u628a10x-\uff0827y+1\uff09x -\uff084y-3\uff09\uff087y -1\uff09\u5206\u89e3\u4e3a[2x -\uff087y -1\uff09][5x +\uff084y -3\uff09] \u89e3\u6cd5\u4e8c\u300110x-27xy-28y-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\u628a10x-27xy-28y\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\uff1ax- 3ax + 2a\u2013ab -b=0 \u5206\u6790\uff1a2a\u2013ab-b\u53ef\u4ee5\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3 \u89e3\uff1ax- 3ax + 2a\u2013ab -b=0 x- 3ax +\uff082a\u2013ab - b\uff09=0 x- 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 \u4e24\u79cd\u76f8\u5173\u8054\u7684\u53d8\u91cf\u4e4b\u95f4\u7684\u4e8c\u6b21\u51fd\u6570\u7684\u5173\u7cfb\uff0c\u53ef\u4ee5\u7528\u4e09\u79cd\u4e0d\u540c\u5f62\u5f0f\u7684\u89e3\u6790\u5f0f\u8868\u793a\uff1a\u4e00\u822c\u5f0f\u3001\u9876\u70b9\u5f0f\u3001\u4ea4\u70b9\u5f0f \u4ea4\u70b9\u5f0f\uff0e \u5229\u7528\u914d\u65b9\u6cd5\uff0c\u628a\u4e8c\u6b21\u51fd\u6570\u7684\u4e00\u822c\u5f0f\u53d8\u5f62\u4e3a Y=a[(x+b/2a)^2-(b^2-4ac)/4a^2] \u5e94\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5bf9\u53f3\u7aef\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u5f97 Y=a[x+b/2a+\u221ab^2-4ac/2a][x+b/2a-\u221ab^2-4ac/2a] =a[x-(-b-\u221ab^2-4ac)/2a][x-(-b+\u221ab^2-4ac)/2a] \u56e0\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bax^2+bx+c=0\u7684\u4e24\u6839\u5206\u522b\u4e3ax1\uff0c2=(-b\u00b1\u221ab^2-4ac)/2a \u6240\u4ee5\u4e0a\u5f0f\u53ef\u5199\u6210y=a(x-x1)(x-x2),\u5176\u4e2dx1\uff0cx2\u662f\u65b9\u7a0bax^2+bx+c=0\u7684\u4e24\u4e2a\u6839 \u56e0x1\uff0cx2\u6070\u4e3a\u6b64\u51fd\u6570\u56fe\u8c61\u4e0ex\u8f74\u4e24\u4ea4\u70b9\uff08x1\uff0c0\uff09\uff0c\uff08x2\uff0c0\uff09\u7684\u6a2a\u5750\u6807\uff0c\u6545\u6211\u4eec\u628a\u51fd\u6570y=a(x-x1)(x-x2)\u53eb\u505a\u51fd\u6570\u7684\u4ea4\u70b9\u5f0f\uff0e \u5728\u89e3\u51b3\u4e0e\u4e8c\u6b21\u51fd\u6570\u7684\u56fe\u8c61\u548cx\u8f74\u4ea4\u70b9\u5750\u6807\u6709\u5173\u7684\u95ee\u9898\u65f6\uff0c\u4f7f\u7528\u4ea4\u70b9\u5f0f\u8f83\u4e3a\u65b9\u4fbf\uff0e \u4e8c\u6b21\u51fd\u6570\u7684\u4ea4\u70b9\u5f0f\u8fd8\u53ef\u5229\u7528\u4e0b\u5217\u53d8\u5f62\u65b9\u6cd5\u6c42\u5f97\uff1a \u8bbe\u65b9\u7a0bax^2+bx+c=0\u7684\u4e24\u6839\u5206\u522b\u4e3ax1\uff0cx2 \u6839\u636e\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfbx1+x2=-b/a\uff0cx1x2=c/a\uff0c \u6709b/a=-(x1+x2),a/c=x1x2 \u2234y=ax^2+bx+c=a[x^2+b/a*x+c/a] =a[x^2-(x1+x2)x+x1x2]=a(x-x1)(x-x2) \u53c2\u8003\u8d44\u6599\uff1a http://zhidao.baidu.com/question/13484053.html?si=1
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\u57fa\u672c\u5f0f\u5b50\uff1ax^2+\uff08p+q)\u03c7+pq=(\u03c7+p)(\u03c7+q)\u6240\u8c13\u5341\u5b57\u76f8\u4e58\u6cd5,\u5c31\u662f\u8fd0\u7528\u4e58\u6cd5\u516c\u5f0f(x+a)(x+b)=x^2+(a+b)x+ab\u7684\u9006\u8fd0\u7b97\u6765\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3.
\u7b80\u5355\u5730\u8bf4:ax^2+bx+c=(a1x+c1)(a2x+c2),\u5728\u8fd0\u7528\u8fd9\u79cd\u65b9\u6cd5\u5206\u89e3\u56e0\u5f0f\u65f6\uff0c\u8981\u6ce8\u610f\u89c2\u5bdf\uff0c\u5c1d\u8bd5\uff0c\u5e76\u4f53\u4f1a\u5b83\u5b9e\u8d28\u662f\u4e8c\u9879\u5f0f\u4e58\u6cd5\u7684\u9006\u8fc7\u7a0b\u3002\u5f53\u9996\u9879\u7cfb\u6570\u4e0d\u662f1\u65f6\uff1a\u5341\u5b57\u5de6\u8fb9\u76f8\u4e58\u7b49\u4e8e\u4e8c\u6b21\u9879\u7cfb\u6570\u5341\u5b57\u76f8\u4e58\u6cd5\u7684\u65b9\u6cd5\u7b80\u5355\u70b9\u6765\u8bb2\u5c31\u662f\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
\u3000\u3000\u5341\u5b57\u76f8\u4e58\u6cd5\u80fd\u628a\u67d0\u4e9b\u4e8c\u6b21\u4e09\u9879\u5f0f\u5206\u89e3\u56e0\u5f0f\u3002\u8fd9\u79cd\u65b9\u6cd5\u7684\u5173\u952e\u662f\u628a\u4e8c\u6b21\u9879\u7cfb\u6570a\u5206\u89e3\u6210\u4e24
\u5341\u5b57\u76f8\u4e58\u6cd5\u4e2a\u56e0\u6570a1,a2\u7684\u79efa1
将二次项系数、常数项分别分解因数，再看各组4个因数交叉乘积的代数和能否凑成一次项系数。
7%+5%.2x1%.最简单的方法是:2%+1%
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