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解题方法
1 . 如图,已知斜三棱柱
中,平面
平面
,
与平面
所成角的正切值为
,所有侧棱与底面边长均为2,D是边AC中点.
(1)求证:
∥平面
;
(2)求异面直线
与
所成的角;
(3)F是边
一点,且
,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cdaadeae37736a1e6dd93fa1fe712f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3aace91caec728e174daec29a3568ae.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/30/1c05cdba-2179-49f6-b923-bc0f589b7092.png?resizew=204)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf9628142422a4884bd59538da6d312.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
(3)F是边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4633c8d720b79fbd51094e000fd53a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e57df2381ec2af9a8516a9fa28b695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-06-28更新
|
917次组卷
|
2卷引用:江苏省南京市六校联合体2022-2023学年高一下学期期末联考数学试题
2 . 在平面直角坐标系
中,已知平面向量
,
,
.
(1)求证:
与
垂直;
(2)若
与
是共线向量,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70438fb81e4c5115e8f057033df682fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119d8c7c3e4f164acee129189dd2422f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46bc586d37a252df037fe8a16fbd5fc3.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4ff655de43e2bfea4ed9ae34e36de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20994fc101fe9d377f18f6403604dd67.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7447872b1ead17d89c0947b601cd87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-02-20更新
|
255次组卷
|
4卷引用:江苏省南通市通州、海安2019-2020学年高一上学期期末联考数学试题