名校
1 . 如图,在四棱锥
中,底面四边形
为菱形,点E为棱
的中点,O为边
的中点.
![](https://img.xkw.com/dksih/QBM/2022/3/19/2939795428745216/2941026939437056/STEM/6cdfc16f42b046aba91148b0d5c13291.png?resizew=237)
(1)求证:
平面
;
(2)若侧面
底面
,且
,
,求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/2022/3/19/2939795428745216/2941026939437056/STEM/6cdfc16f42b046aba91148b0d5c13291.png?resizew=237)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c34b18525831f3eda7bb90be0199b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f457418e6a7e21f0ed0bf490a3709c.png)
(2)若侧面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d8b7b9ed614cb3537ee4851c8e9d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c94c2ec755a12d37ce4ee5764ec355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f457418e6a7e21f0ed0bf490a3709c.png)
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2022-03-21更新
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1615次组卷
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2卷引用:江西省九大名校2022届高三3月联考数学(理)试题