题目内容
有一水库大坝的横截面是梯形ABCD,AD∥BC,EF为水库的水面,点E在DC上,某课题小组在老师带领下想测量水的深度,他们测得背水坡AB的长为12米,迎水坡DE的长为2米,∠BAD=135°,∠ADC=120°,求水深.(精确到0.1米,
)
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解:分别过
作
于
于
过
作
于
则四边形
为矩形. ……1分
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∴
在
中,
∴
……4分
在
中,
……5分
∴
……6分
答:水深约为6.7米.(其它解法可参照给分) ……7分
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∴
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在
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
∴

在
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∴
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答:水深约为6.7米.(其它解法可参照给分) ……7分
略
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