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歡迎您訪問(wèn)數(shù)學(xué)考題練習(xí):若am2+4mn+n2是一個(gè)完全平方式,則a的!

數(shù)學(xué)考題練習(xí):若am2+4mn+n2是一個(gè)完全平方式,則a的

更新時(shí)間:2024-01-12 16:27:06作者:貝語(yǔ)網(wǎng)校

若am2+4mn+n2是一個(gè)完全平方式,則a的值是

A.-4

B.4

C.1

D.2

試題答案

B

試題解析

先根據(jù)乘積二倍項(xiàng)確定出這兩個(gè)數(shù),再根據(jù)完全平方公式其中一個(gè)數(shù)的平方是am2,計(jì)算即可.

解答:∵4mn=2×2m•n,

∴am2=(2m)2

解得a=4.

故選B.

點(diǎn)評(píng):本題主要考查完全平方公式的結(jié)構(gòu)特點(diǎn)的記憶,熟練掌握并靈活運(yùn)用是解題的關(guān)鍵.

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