解题方法
1 . 如图,直四棱柱
中,四边形
为梯形,
,且
.过
三点的平面记为
,
与
的交点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/1/38e8f68b-6006-41bd-9470-b1a0cf9265eb.png?resizew=142)
(1)证明:
为
的中点;
(2)求此四棱柱被平面
所分成上下两部分的体积之比.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dceb5cc71fc50f20649f6b9535fd914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e839ac941e8bf536ff35a12e56c7a400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0dfa9d9e982eafd09e850cfdaeea2a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/1/38e8f68b-6006-41bd-9470-b1a0cf9265eb.png?resizew=142)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
(2)求此四棱柱被平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2017-10-10更新
|
625次组卷
|
2卷引用:福建省2017年数学基地校高三毕业班总复习 立体几何 形成性试卷(理)
2 . 如图,几何体
中,
为边长为
的正方形,
为直角梯形,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2014/4/24/1571655831339008/1571655837212672/STEM/f7a2dff4f99b48bab0d858f4f1c570d8.png?resizew=237)
(1)求异面直线
和
所成角的大小;
(2)求几何体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fc1129846f37afdafd751627c450d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://img.xkw.com/dksih/QBM/2014/4/24/1571655831339008/1571655837212672/STEM/e78aee6235854dca87ffc517aeef95d9.png?resizew=48)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37591109b0a0ec5ffe2133f83310eca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0e5697eca3f5205cb7b343648240bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f18fd852a3aa1143e2a27b0ce135370.png)
![](https://img.xkw.com/dksih/QBM/2014/4/24/1571655831339008/1571655837212672/STEM/f7a2dff4f99b48bab0d858f4f1c570d8.png?resizew=237)
(1)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(2)求几何体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fc1129846f37afdafd751627c450d5.png)
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