配套习题- 勾股定理的逆定理（一） -【青果学院】

1/5单选题

难度：

1.下列结沦中，错误的有（　　）个
①Rt△ABC中，已知两边分别为3和4，则第三边的长为5；②三角形的三边分别为a、b、c，若

，则∠A=90°；③若△ABC中，∠A：∠B：∠C=1：5：6，则这个三角形是一个直角三角形；④若

成立，则M=4xy

A	0
B	1
C	2
D	3

正确答案：Qw==

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

2/5单选题

难度：

2.在下列条件中：①在△ABC中，∠A：∠B：∠C=1：2：3；②三角形三边长分别为

; ③在△ABC中，三边a，b，c满足

; ④三角形三边长分别为m-1，2m，m+1（m为大于1的整数），能确定△ABC是直角三角形的条件有（　　）个

A	1
B	2
C	3
D	4

正确答案：Qg==

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

3/5单选题

难度：

3.由线段a、b、c组成的三角形，不是直角三角形的是（　　）

A	a=30，b=40，c=50
B	a=41，b=40，c=9
C	a=7，b=24，c=25
D	a=40，b=50，c=60

正确答案：RA==

PGRpdj7op6PvvJo8aW1nIHdpZHRoPTEwMSBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yMy81RC9yQkFDRTFNTVdtNlJ4c1dzQUFBQ0xSSVF4RDQ2MDMucG5nIj7miYDku6VE6YCJ6aG55LiN5piv55u06KeS5LiJ6KeS5b2iPC9kaXY+

4/5单选题

难度：

4.

△ABC中的三边长分别为a，b，c，下列条件：
①∠A=∠B-∠C ②∠A：∠B：∠C=3：4：5③a²=(b+c)(b-c)④a：b：c=3：4：5
其中能判定△ABC是直角三角形的个数有（　　）

A	4
B	3
C	2
D	1

正确答案：Qg==

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

5/5单选题

难度：

5.

在三角形中，三边长a、b、c满足，那么此三角形为（）

A	等边三角形
B	等腰三角形
C	等腰直角三角形
D	直角三角形

正确答案：Qw==

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