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因式分解是中考的必考内容之一,每一份中考试卷都会涉及.近年中考中,以因式分解的内容来设计新题型已成为一个趋势.现以2012年中考试题为例加以说明,供同学们学习时参考.一整体思想例1(2012年·无锡)(x-1)~2-2(x-1)+1分解因式的结果是().A.(x-1)(x-2) B.x~2 C.(x+1)~2 D.(x-2)~2分析:本题可以先展开再合并同类项,得到一个二次三项式,然后应用完全平方公式分解因式.而若把x-1看成一个整体,从代数式的结构看就是差的完全平方式,这样可以很快得到答案.
Factorization is one of the necessary examinations in the exam, each of the exam papers will be involved in recent years in the test, to factorize the content to design a new type has become a trend. Now 2012 mid-term exam questions as an example to illustrate (X-1) ~ 2-2 (x-1) +1 decomposition factor of the result is () .A. (X-1 ) (x-2) Bx ~ 2 C. (x + 1) ~ 2 D. (x-2) ~ 2 Analysis: The problem can be expanded and then merge the same terms to get a quadratic formula, Formula decomposition factor.And if the x-1 as a whole, from the algebraic structure that is poor completely flat, so you can quickly get the answer.