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歡迎您訪問數學考題練習:如果100x2-kxy+49y2是一個完全平方!

數學考題練習:如果100x2-kxy+49y2是一個完全平方

更新時間:2024-01-12 16:25:02作者:貝語網校

如果100x2-kxy+49y2是一個完全平方式,則k的值是

A.±4900

B.±9800

C.±140

D.±70

試題答案

C

試題解析

本題考查完全平方公式的靈活應用,這里首末兩項是10x和7y的平方,那么中間項為加上或減去10x和7y的乘積的2倍.

解答:∵100x2-kxy+49y2是一個完全平方式,

∴-kxy=±2×10x×7y,

解得k=±140.

故選C.

點評:本題主要考查完全平方公式,根據兩平方項確定出這兩個數,再根據乘積二倍項求解.

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