1 . 如图,六面体
中,平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/c7aa7474-a02a-4d64-bfe4-1e3f846e5897.png?resizew=240)
(1)求证:
;
(2)若
,平面
平面
,
,
,
,求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a0c3a4e61b97fa9bc58f3179fc2958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04de6e3d84ddf7da3dc4fab26e59df46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/c7aa7474-a02a-4d64-bfe4-1e3f846e5897.png?resizew=240)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab79d395d5aa7500d0606dd94b6319ff.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce726bceb02452bb4e5ed6b00fa94e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5628323a7eeb11213df5c9048b3543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3ce43d216ad9d22ccfa0ec656266ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940078c89bad1724a5d7006a54755398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53509459aad2e9f59f412f43b6f775d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31815b1f3bcb36edacb318c198f41d4.png)
您最近一年使用:0次
2020-12-08更新
|
384次组卷
|
2卷引用:安徽省六安市第一中学2020-2021学年高二下学期开学考试数学(文)试题
名校
2 . 已知四棱锥
中,底面
为平行四边形,点
、
、
分别在
、
、
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/b48f20ce-0a89-4697-a1a0-af73a52c3dee.png?resizew=180)
(1)若
,求证:平面
平面
;
(2)若
满足
,则
点满足什么条件时,
面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/b48f20ce-0a89-4697-a1a0-af73a52c3dee.png?resizew=180)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480eb43bbb9a6e3ef0c7cc491e860b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b28a07491270be75a3697538bec706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b784a3ef1d564942190c27ef4c98578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982d01f052709b72afeaf1015fc7acc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7ffa7d57cb72ca3468f448e70b52af.png)
您最近一年使用:0次
2019-10-06更新
|
1465次组卷
|
4卷引用:安徽省芜湖市第一中学2020-2021学年高一下学期期中数学试题
名校
解题方法
3 . 如图,四棱柱
中,
底面
,四边形
为梯形,
,且
,
为
的中点,过
三点的平面记为
.
(Ⅰ)证明:平面
与平面
的交线平行于直线
;
![](https://img.xkw.com/dksih/QBM/2017/5/17/1688962389204992/1689505977835520/STEM/749982a9-901d-4edd-9011-ad2c9f13f56a.png?resizew=176)
(Ⅱ)若
,
,求平面
与底面
所成二面角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ecf072589c0f901d92f6bda111d841.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/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e839ac941e8bf536ff35a12e56c7a400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58686e417f5d9cbfa8ef97e180af9f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(Ⅰ)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2017/5/17/1688962389204992/1689505977835520/STEM/749982a9-901d-4edd-9011-ad2c9f13f56a.png?resizew=176)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604ea9581e49ea3531d5f82349e61553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9f9fcdffb61b5366a158ebd115cd3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2017-05-18更新
|
909次组卷
|
7卷引用:安徽省芜湖市第一中学2020-2021学年高一下学期6月月考数学试题