配套习题- 利用锐角三角函数的关系解题 -【青果学院】

1/5单选题

难度：

1.已知∠A是锐角，sinA=

，则5cosA=（　　）

A	4
B	3
C
D	5

正确答案：QQ==

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

2/5单选题

难度：

2.在△ABC中，∠C=90°，如果sinA=

，那么tanA的值为（　　）

A
B
C
D

正确答案：QQ==

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

3/5单选题

难度：

3.已知sinα+cosα=m，sinα•cosα=n，则m、n的关系是（　　）

A	m=n
B	m=2n+1
C	m²=2n+1
D	m²=1-2n

正确答案：Qw==

6Kej77ya4oi177yIc2luzrErY29zzrHvvIk8c3VwPjI8L3N1cD49c2luPHN1cD4yPC9zdXA+zrErY29zPHN1cD4yPC9zdXA+zrErMnNpbs6xJiM4MjI2O2Nvc86x77yMPGJyPuWPiOKItXNpbjxzdXA+Mjwvc3VwPs6xK2NvczxzdXA+Mjwvc3VwPs6xPTHvvIxzaW7OsStjb3POsT1t77yMc2luzrEmIzgyMjY7Y29zzrE9bu+8jDxicj7iiLRtPHN1cD4yPC9zdXA+PTJuKzEuIDxicj7mlYXpgIlDLiA=

4/5单选题

难度：

4.下列等式：①sin30°+sin30°=sin60°；②sin25°=cos65°；③cos45°=sin45°；④cos62°=sin18°. 其中正确的个数是（　　）

A	1个
B	2个
C	3个
D	4个

正确答案：Qg==

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

5/5单选题

难度：

5.在Rt△ABC中，∠C=90°，下列式子中不一定成立的是（　　）

A	tanA=
B	sin²A+sin²B=1
C	sin²A+cos²A=1
D	sinA=sinB

正确答案：RA==

6Kej77ya5qC55o2u5ZCM6KeS55qE5LiJ6KeS5Ye95pWw55qE5YWz57O777yadGFuQT08aW1nIHdpZHRoPTMyIGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwL0ZCL0U4L3JCQUNGRk5tOHI2VFdhdktBQUFCeFM2cktGbzU5Ni5wbmciPu+8jHNpbjxzdXA+Mjwvc3VwPkErY29zPHN1cD4yPC9zdXA+QT0x77yMc2luQj1zaW7vvIg5MMKwLeKIoEHvvIk9Y29zQu+8jOWPr+efpeWPquaciUTkuI3mraPnoa4uIDxicj7mlYXpgIlELiA=