配套习题- 勾股定理的逆定理 -【青果学院】

1/5单选题

难度：

1.下列四组线段中，能组成直角三角形的是（　　）

A	a=1，b=2，c=3
B	a=2，b=3，c=4
C	a=2，b=4，c=5
D	a=3，b=4，c=5

正确答案：RA==

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

2/5单选题

难度：

2.由下列条件不能判定△ABC为直角三角形的是（　　）

A	∠A+∠B=∠C
B	∠A：∠B：∠C=1：3：2
C	（b+c）（b﹣c）=a²
D	a=3+k，b=4+k，c=5+k（k＞0）

正确答案：RA==

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

3/5单选题

难度：

3.已知a、b、c为△ABC的三边，且满足（a﹣b）（a²+b²﹣c²）=0，则△ABC是（　　）

A	等边三角形
B	直角三角形
C	等腰直角三角形
D	等腰三角形或直角三角形

正确答案：RA==

6Kej77ya4oi177yIYe+5o2LvvInvvIhhPHN1cD4yPC9zdXA+K2I8c3VwPjI8L3N1cD7vuaNjPHN1cD4yPC9zdXA+77yJPTDvvIw8YnI+4oi0Ye+5o2I9MO+8jOaIlmE8c3VwPjI8L3N1cD4rYjxzdXA+Mjwvc3VwPu+5o2M8c3VwPjI8L3N1cD49MO+8jDxicj7ljbNhPWLmiJZhPHN1cD4yPC9zdXA+K2I8c3VwPjI8L3N1cD49YzxzdXA+Mjwvc3VwPu+8jDxicj7iiLTilrNBQkPnmoTlvaLnirbkuLrnrYnohbDkuInop5LlvaLmiJbnm7Top5LkuInop5LlvaLvvI48YnI+5pWF6YCJ77yaRO+8jg==

4/5单选题

难度：

4.如果△ABC的三边长分别为a、b、c，并且满足a²+b²+c²+338=10a+24b+26c，则△ABC的形状是（）．

A	等腰三角形
B	等边三角形
C	直角三角形
D	等腰直角三角形

正确答案：Qw==

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

5/5单选题

难度：

5.如图AD⊥CD，AB=13，BC=12，CD=4，AD=3，则四边形ABCD的面积是( )

A	36
B	32
C	28
D	24

正确答案：QQ==

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