名校
解题方法
1 . 如图,点
分别是正四面体
棱
上的点,设
,直线
与直线
所成的角为
,则对于以下两个命题,各选项判断正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/070db60b-0d0f-4b26-adb5-c332ddfd10c4.png?resizew=147)
①当
时,
随着
的增大而减小;
②当
时,
随着
的增大而增大
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f2a9b923a355694ea487f6c5669a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/070db60b-0d0f-4b26-adb5-c332ddfd10c4.png?resizew=147)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfcdbf35c6ca1c7e580583630f1ee097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4a24b387673d21c3d381bf2f3eae63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.①②都是真命题 | B.①是假命题,②是真命题 |
C.①是真命题,②是假命题 | D.①②都是假命题 |
您最近一年使用:0次
2024-03-19更新
|
321次组卷
|
2卷引用:上海市宜川中学2024届高三下学期2月开学考试数学试题
23-24高二下·上海·开学考试
解题方法
2 . 如图,在三棱锥
中,
、
分别为
、
中点,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a318e77202631ff5f396a12d4b58eb5c.png)
(1)求证:
面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求异面直线
与
所成角的余弦值
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dcc9309bf9b04dbf20edad29f80cd72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a318e77202631ff5f396a12d4b58eb5c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/0aba7ace-465d-4548-8b20-d3b33c05a67b.png?resizew=160)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce03b310edce42191f9fa75a1c909ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
您最近一年使用:0次