解题方法
1 . 如图,在三棱锥
中,
平面
,点
分别是
和
的中点,已知
,直线
与平面
所成的角为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/20/349452a3-7825-4485-9588-5f6858bb0f80.png?resizew=187)
(1)求证:平面
平面
:
(2)求二面角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6deecf9ccb7b7879455050633219e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffbc423070f5d7ce2c72229066ee1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d553f8d549f8ff2e9abca41cc1741c4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/20/349452a3-7825-4485-9588-5f6858bb0f80.png?resizew=187)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c54a3c4557148887b49591696a831e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e9ac46aabe38e5ea1a8cb0febc98af.png)
您最近一年使用:0次
2022-08-18更新
|
685次组卷
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2卷引用:重庆市2021-2022学年高一下学期学业质量调研数学试题
2 . 已知抛物线
的焦点为F,过点F的直线l交抛物线C于M,N两点,交y轴于P点,点N位于点M和点P之间.
(1)若
,求直线l的斜率;
(2)若
,证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece74a1c672383a4d03363f376d060f8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0b05f17a40e21dfc915a7e9debfa61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
您最近一年使用:0次
解题方法
3 . 如图所示,在四棱锥
中,
,平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/10/d3b09640-c5ff-4e08-8f27-e552451ebf97.png?resizew=171)
(1)证明:
;
(2)若四棱锥
的体积为4,求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01eb0397a65f3a2a928b7ea77ce3e55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/10/d3b09640-c5ff-4e08-8f27-e552451ebf97.png?resizew=171)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9104a1941e557a85fd1496bc2b9be297.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
解题方法
4 . 如图,在
中,
,
是边为
的正方形,平面
平面
,
、
分别是
、
的中点.
![](https://img.xkw.com/dksih/QBM/2022/8/1/3035385386696704/3047244980699136/STEM/73f0969b74ca410b9760aef772f1aa0b.png?resizew=162)
(1)求证:
平面
:
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6321a96e7f0768394f6932a121adc84e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5352d28609d1b3d09a0a29d023d1bb72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/2022/8/1/3035385386696704/3047244980699136/STEM/73f0969b74ca410b9760aef772f1aa0b.png?resizew=162)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c27a8fd3bf5b89a16dbbe1a8230653c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
您最近一年使用:0次
2022-08-18更新
|
821次组卷
|
3卷引用:重庆市2021-2022学年高一下学期学业质量调研数学试题
5 . 已知数列
满足
,且
.
(1)求证:
是等差数列;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950c6303c2ec03e48137be8addf9245c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b78e4a03d4595f14be42054b61dfc6.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe2d091607ee8419029109a54cb45ab.png)
您最近一年使用:0次
解题方法
6 . 如图,在三棱锥
中,
,D、E分别是AB、AC的中点,且
平面ABC.
![](https://img.xkw.com/dksih/QBM/2020/3/12/2418141298819072/2432991658786816/STEM/3eec0a29c1374b0bb538621cd7a01891.png?resizew=284)
(1)求证:
平面PDE;
(2)求证:
平面PDE.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db807b09cc550f476b3f8fa0c6a14425.png)
![](https://img.xkw.com/dksih/QBM/2020/3/12/2418141298819072/2432991658786816/STEM/3eec0a29c1374b0bb538621cd7a01891.png?resizew=284)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963a91995abd4927d75406d16e10a81f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
您最近一年使用:0次
2020-04-02更新
|
720次组卷
|
3卷引用:重庆市2017年普通高中学业水平考试数学试题