问题 选择题

下列性质中,等腰三角形具有而直角三角形不一定具有的是…………(   )

A.内角和等于180°

B.有一个角的平分线垂直于这个角的对边

C.有两个锐角的和等于90°

D.有两条边的平方和等于第三条边的平方

答案

答案:B

根据等腰三角形与直角三角形的性质作答.

解:A、对于任意一个三角形都有内角和等于180°,不符合题意;

B、等腰三角形顶角的平分线垂直于顶角的对边,而直角三角形(等腰直角三角形除外)没有任何一个角的平分线垂直于这个角的对边,符合题意;

C、只有直角三角形才有两个锐角的和等于90°,不符合题意;

D、只有直角三角形才有两条边的平方和等于第三条边的平方,不符合题意.

故选B.

点评:本题主要考查了三角形的性质,等腰三角形与直角三角形的性质的区别.

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