解题方法
1 . 如图,在直三棱柱
中,
,
,
,D是线段
上的动点,
.
![](https://img.xkw.com/dksih/QBM/2023/5/5/3231275915845632/3232027704123392/STEM/35304eef64e74c499c506ab5a76b5380.png?resizew=151)
(1)当
∥平面
时,求实数
的值;
(2)当平面
平面
时,求平面
与平面
所成二面角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5213d6ac74fb6044cab6927a3d2acaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53cd0ff131cb1a9de384a501ebfe2440.png)
![](https://img.xkw.com/dksih/QBM/2023/5/5/3231275915845632/3232027704123392/STEM/35304eef64e74c499c506ab5a76b5380.png?resizew=151)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)当平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f3c1b59a81027f370cb0f205892e76e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
您最近一年使用:0次
2023-05-06更新
|
1154次组卷
|
2卷引用:贵州省铜仁市2023届高三适应性考试(二)数学(理)试题
2023·全国·模拟预测
名校
2 . 如图,在四棱锥
中,平面
平面
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/29/eedaa78a-a146-4087-bae0-537b1c77c7fa.png?resizew=158)
(1)证明:
.
(2)若
,点
到平面
的距离为
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e198ba74cc4b55e69c48941acb01f0be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/29/eedaa78a-a146-4087-bae0-537b1c77c7fa.png?resizew=158)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccbd1316b9d1f0c1e71fd078deec61f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e4d19bf237a6fca67e0d01a9ddb726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69d166677557cadb3da32b4a7e152e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02535e1a690ca111ca7a395a1bf48080.png)
您最近一年使用:0次
2023·全国·模拟预测
名校
解题方法
3 . 如图,三棱柱
的底面为等边三角形,
,点D,E分别为AC,
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/20/a403d1a5-e9a5-4b93-8162-60b6b283bb17.png?resizew=191)
(1)求点
到平面BDE的距离;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fe926770d2354e172dec02f5ce2efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89622b7b9832cc0e8e20589cd5b1987c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943eecf3a499e126810370204661e830.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/20/a403d1a5-e9a5-4b93-8162-60b6b283bb17.png?resizew=191)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50cce30fa71063e956fffe1c12b9bd8.png)
您最近一年使用:0次
2023-02-17更新
|
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4卷引用:贵州省铜仁第一中学2023-2024学年高二上学期8月摸底衔接质量检测(二)数学试题
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