名校
解题方法
1 . 如图,在四棱锥
中,底面ABCD是直角梯形,
,
,平面
平面PBC,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/30/1fe6a199-6b0d-494f-84fb-860b05aa8b26.png?resizew=212)
(1)求证:
;
(2)若PD与平面PBC所成的角为
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b418c949737345add0656cae0c41ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b231f50f6c14414a40a03b3a0c962e7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/30/1fe6a199-6b0d-494f-84fb-860b05aa8b26.png?resizew=212)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa54114f04a75b8c96165b3718ed7f.png)
(2)若PD与平面PBC所成的角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa431d661bf9f419e8ab713dd4a3c80.png)
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2022-06-28更新
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3卷引用:广西南宁市第二中学2022-2023学年高一下学期期末考试数学试题