名校
解题方法
1 . 如图,在多面体
中,
为正方形,
平面
,
,
.
![](https://img.xkw.com/dksih/QBM/2022/1/14/2894203289747456/2895176848891904/STEM/54939ee7-0352-4531-94f2-2104ea035dd9.png?resizew=196)
(1)求证:
;
(2)求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019c0405370c673e37b46c066eba839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1100a56e918f75ed6d955a802050f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7a63258b68e472bedca08381d47630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0346a3f335e7734772d32d9903f2cc.png)
![](https://img.xkw.com/dksih/QBM/2022/1/14/2894203289747456/2895176848891904/STEM/54939ee7-0352-4531-94f2-2104ea035dd9.png?resizew=196)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187a6bf82f1d5e534274e12f96594be.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00d4825584cf2a3f381de72c179e22.png)
您最近一年使用:0次
2022-01-15更新
|
418次组卷
|
5卷引用:北京市怀柔区第一中学2023-2024学年高二上学期10月月考数学试题
名校
解题方法
2 . 如图,在四棱锥P-ABCD中,底面ABCD是边长为2的菱形,∠ABC=60°,
为正三角形,且侧面PAB⊥底面ABCD,
为线段
的中点,
在线段
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/c1fda241-dad7-480b-85e3-e303854b497d.png?resizew=157)
(I)当
是线段
的中点时,求证:PB // 平面ACM;
(II)求证:
;
(III)是否存在点
,使二面角
的大小为60°,若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53502463cc76201000e02df314e58769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/c1fda241-dad7-480b-85e3-e303854b497d.png?resizew=157)
(I)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
(II)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc56fdf70e65bd88980c64af96b83da.png)
(III)是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90985b4cec465c6c3710ffe7e0ed9fae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47548785e478bc5b9591341a881e3127.png)
您最近一年使用:0次
2018-01-26更新
|
1320次组卷
|
6卷引用:北京市怀柔区第一中学2023-2024学年高二上学期10月月考数学试题