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歡迎您訪問數學考題練習:下列命題正確的是!

數學考題練習:下列命題正確的是

更新時間:2024-01-12 16:29:29作者:貝語網校

下列命題正確的是

A.所有的直角三角形都相似

B.所有的等腰三角形都相似

C.所有的等腰直角三角形都相似

D.以上結論都不對

試題答案

C

試題解析

根據相似三角形的判定方法對各個結論分析即可.

解答:A、根據一個等腰直角三角形與一個一般的直角三角形不相似;故此選項錯誤;

B、根據一個等腰三角形的頂角為20°,而另一個的頂角為30°,則此兩個等腰三角形不相似;故此選項錯誤;

C、所有等腰直角三角形的角分別為90°,45°,45°,所以對應相等,所以相似.故此選項正確;

D、以上結論都不對,故此選項錯誤;

故選:C.

點評:此題考查了相似三角形的判定,①若對應三邊的比相等,則三角形相似;

②若對應兩邊的比相等,及其夾角相等,則三角形相似;

③若有兩個角對應相等,則三角形相似.

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