(本小题满分12分) (注意:在试题卷上作答无效) 四棱锥中,底

(本小题满分12分)

(注意:在试题卷上作答无效)

四棱锥中,底面为矩形,侧面底面

(Ⅰ)证明:

(Ⅱ)设与平面所成的角为,求二面角的大小。

答案

(Ⅰ)证明见解析。

(Ⅱ)


解析:

(Ⅰ)由于,取

,以为原点,建立直角坐标系,

如图所示,设,则

 (Ⅱ)因为

,又,故有

,故所求

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