名校
1 . 如图,已知正方体
的棱长为4,E为棱
的中点,点P在侧面
上运动.当平面
与平面
、平面
所成的角相等时,则
的最小值为( )
![](https://img.xkw.com/dksih/QBM/2021/2/22/2663757255909376/2664796301254656/STEM/486bbf32-efa5-49dd-99a2-251a97721861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c52091eb745de866044477641a7c55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68082bc72b198219560676ec9dcb1c31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c52091eb745de866044477641a7c55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c798204bbe306b3efd5bc9eae594c171.png)
![](https://img.xkw.com/dksih/QBM/2021/2/22/2663757255909376/2664796301254656/STEM/486bbf32-efa5-49dd-99a2-251a97721861.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-02-24更新
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3卷引用:浙江省湖州市德清县第三中学2020-2021学年高二下学期返校考试数学试题
名校
2 . 如图,已知三棱锥
﹐
,
是边长为
的正三角形,
﹐
,点
为线段
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/45ab9f31-e038-44f8-837d-a06726996118.png?resizew=142)
(1)证明:
平面
;
(2)求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e4b16c2c6c9bd089da78122e9d2511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6869d7ca3325f7a279298c5334574f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa8dfca7fc8d02285b724979e9f20fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/45ab9f31-e038-44f8-837d-a06726996118.png?resizew=142)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次
2021-02-05更新
|
475次组卷
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3卷引用:浙江省湖州市德清县第三中学2020-2021学年高二下学期返校考试数学试题
名校
解题方法
3 . 如图,在三棱锥P﹣ABC中,
,
,
,
,
分别是
,
的中点,
是
上一点.
![](https://img.xkw.com/dksih/QBM/2021/2/2/2649586349883392/2650821990031360/STEM/83bed765-7750-4785-8be3-9b82d8fea19c.png)
(Ⅰ)求证:
平面
;
(Ⅱ)求直线
与平面
所成角的正弦值的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493bb019ca520970a46dde52090192a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd3eb538f36e6e722e4ce125266b99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9ef979b9f27a28cbda6923e888ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/2021/2/2/2649586349883392/2650821990031360/STEM/83bed765-7750-4785-8be3-9b82d8fea19c.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
2021-02-04更新
|
409次组卷
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3卷引用:浙江省湖州市德清县第三中学2020-2021学年高二下学期返校考试数学试题