名校
解题方法
1 . 如图,在三棱锥
中,平面
平面
,
为等边三角形,
,且
,E,F分别为AC,PC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/c686e2c5-6be9-4775-91ee-9d49f55350b7.png?resizew=183)
(1)求证:
平面
;
(2)求证:平面
平面
;
(3)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4957406b21df59fdf7fa184752287b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/c686e2c5-6be9-4775-91ee-9d49f55350b7.png?resizew=183)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373f735f0f04d11f1951eaef1bb78b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51838e395dfc9d9ef597d9e01f46272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
您最近一年使用:0次
名校
解题方法
2 . 如图,在直三棱柱
中,
,
,
,点
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/36d29b39-c538-463e-9c8d-184c12f72948.png?resizew=158)
(1)求证:
;
(2)若
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/36d29b39-c538-463e-9c8d-184c12f72948.png?resizew=158)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429228f882da65a8e0064c88d02b8e40.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdb0747e3817dc6fc050f077b477f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e651b4b68d974b893f09efd44da25b43.png)
您最近一年使用:0次
2020-03-12更新
|
2482次组卷
|
2卷引用:内蒙古自治区2016年1月普通高中学业水平考试数学试题
解题方法
3 . 如图,在四棱锥
中,
平面
,底面
是正方形,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/1ffb0f3e-a434-4bed-a7da-6d8e8bcff1f9.png?resizew=185)
(1)求棱
的长;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99926bf272cd757f0985c69b390ebcce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/1ffb0f3e-a434-4bed-a7da-6d8e8bcff1f9.png?resizew=185)
(1)求棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbd7c2767c106faf27d6a97ebc8e739.png)
您最近一年使用:0次
解题方法
4 . 如图1,已知矩形
中,
,
分别是
的中点,对角线
与
交于
点,沿
将矩形
折起,使平面
与平面
所成角为60°.在图2中:
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572997690490880/1572997696495616/STEM/658be6c467d04c29b39b108bca77579a.png?resizew=275)
(1)求证:
;
(2)求平面
分割三棱柱
所得上部分的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f07b6c9916e72a26387dc511cc6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369eb8ad56da7dc1cdb7c43762be4bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369eb8ad56da7dc1cdb7c43762be4bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41c2d7ae6aaf6d91129ed5221a415a7.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572997690490880/1572997696495616/STEM/658be6c467d04c29b39b108bca77579a.png?resizew=275)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1e516cd5a8cce0851d1ea38b54278a.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ccfab6e141242a878a8cd79739a433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1bcc181aa254e91bfc333c966e4637d.png)
您最近一年使用:0次