配套习题- 解直角三角形 -【青果学院】

1/5单选题

难度：

1.在△ABC中，∠A，∠B均为锐角，且sinA=

，cosB=

，AC=40，则△ABC的面积是（　　）

A	800
B	800
C	400
D	400

正确答案：RA==

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

2/5单选题

难度：

2.在直角三角形ABC中，已知∠C=90°，∠A=40°，BC=3，则AC=（　　）

A	3sin40°
B	3sin50°
C	3tan40°
D	3tan50°

正确答案：RA==

6Kej77ya4oigQj05MMKwLeKIoEE9OTDCsC00MMKwPTUwwrDvvIw8YnI+5Y+I4oi1dGFuQj08aW1nIHdpZHRoPTE1IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzgyLzNFL3JCQUNKMVYxT0MzaUJWRnVBQUFCZ0p3SENuYzc4MS5wbmciPu+8jDxicj7iiLRBQz1CQyYjODIyNjt0YW5CPTN0YW41MMKw77yOPGJyPuaVhemAie+8mkTvvI4=

3/5单选题

难度：

3.

如果三角形满足一个角是另一个角的3倍，那么我们称这个三角形为“智慧三角形”．下列各组数据中，能作为一个智慧三角形三边长的一组是（　　）

A	1，2，3
B	1，1，
C	1，1，
D	1，2，

正确答案：RA==

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

4/5单选题

难度：

4.等腰三角形底边长为10cm，周长为36cm，那么底角的余弦等于（　　）

A
B
C
D

正确答案：QQ==

6Kej77ya5aaC5Zu+77yM5L2cQUTiiqVCQ+S6jkTngrnvvI48aW1nIHdpZHRoPTEzNyBoZWlnaHQ9MTI0IHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvQjcvQzEvckJBQ0UxVjFPRExCM3hDdEFBQUdvcnNEYmZnNTg0LnBuZyIgPjxicj7liJlDRD01Y23vvIw8YnI+QUI9QUM9MTNjbe+8jjxicj7iiLTlupXop5LnmoTkvZnlvKY9PGltZyB3aWR0aD0xMyBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8xQy9ERC9yQkFDRkZWMU9ETGpULWsyQUFBQlVqVXNmY3c3NzkucG5nIj7vvI48YnI+5pWF6YCJQe+8jg==

5/5单选题

难度：

5.如图，在Rt△ABC中，∠ACB=90°，BC=3，AC=

，AB的垂直平分线ED交BC的延长线于D点，垂足为E，则sin∠CAD=（）

A
B
C
D

正确答案：QQ==

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