名校
1 . 如图,点C在直径为AB的半圆O上,CD垂直于半圆O所在平面,平面ADE⊥平面ACD,且CD∥BE.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/eef206de-b81d-46fe-a5f9-088adbb04306.png?resizew=204)
(1)证明:CD=BE;
(2)若AC=1,AB=
,∠ADC=45°,求四棱锥A -BCDE的内切球的半径.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/eef206de-b81d-46fe-a5f9-088adbb04306.png?resizew=204)
(1)证明:CD=BE;
(2)若AC=1,AB=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
您最近一年使用:0次
2021-08-17更新
|
1350次组卷
|
3卷引用:第15课时 课中 平面与平面垂直的性质
名校
解题方法
2 . 已知圆
:
,点
是直线
:
上的动点,若点
,
,直线
,
与圆
的另一个交点分别为
,
.
![](https://img.xkw.com/dksih/QBM/2021/4/13/2699144908587008/2786896074498048/STEM/b7ef2417-6944-45ea-8db9-c9c4b9396e6b.png?resizew=292)
(1)若点
,求直线
的方程;
(2)求证:直线
与
轴交于一个定点,并求定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/2021/4/13/2699144908587008/2786896074498048/STEM/b7ef2417-6944-45ea-8db9-c9c4b9396e6b.png?resizew=292)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f1828bca46b9aeddd39374af8c2bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(2)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2021-08-15更新
|
1630次组卷
|
6卷引用:江苏省盐城市伍佑中学2021-2022学年高二上学期第一次阶段考试数学试题
江苏省盐城市伍佑中学2021-2022学年高二上学期第一次阶段考试数学试题江西省吉安市第一中学2021-2022学年高二上学期开学考试数学(理)试题(已下线)第02讲 直线与圆的位置关系-【帮课堂】2021-2022学年高二数学同步精品讲义(苏教版2019选择性必修第一册)山东省青岛市青岛第五十八中学2021-2022学年高三上学期期中数学试题湖北省荆门市龙泉中学2018-2019学年高二上学期10月月考数学试题(已下线)第五篇 向量与几何 专题9 完全四点形的调和性 微点2 完全四点形的调和性综合训练
名校
解题方法
3 . 如图,四棱锥
中,侧面
是边长为4的正三角形,且与底面垂直,底面
是菱形,且
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/4c25e979-848e-4a42-b416-ff1aae9af147.png?resizew=180)
(1)求证:
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/4c25e979-848e-4a42-b416-ff1aae9af147.png?resizew=180)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352d85caf2bd9c6c66709d09df0ee0ac.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c745df4f226027778d5fe45b6501b822.png)
您最近一年使用:0次
2021-08-12更新
|
829次组卷
|
3卷引用:甘肃省张掖市第二中学2020-2021学年高一下学期期中考试数学试题
解题方法
4 . 已知矩形
中,
,
,
为线段
上一点(不在端点),沿线段
将
折成
,使得平面
平面
.
![](https://img.xkw.com/dksih/QBM/2021/6/22/2748470738575360/2782575554150400/STEM/7aa415d10a144504b48656715b5eabfe.png?resizew=338)
(1)证明:平面
与平面
不可能垂直;
(2)若二面角
大小为60°,
(ⅰ)求直线
与
所成角的余弦值;
(ⅱ)求三棱锥
的外接球的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68696b781af2609327222d22cb7bab3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ebf8aa867ccca195ec94c3c96e9b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/2021/6/22/2748470738575360/2782575554150400/STEM/7aa415d10a144504b48656715b5eabfe.png?resizew=338)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae9bd3db15b3c5062240b4438fe6476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e95fa1c3bcd3d0464fcadf248e90ace.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c35e8cf7b77cda3a23aaca62cd937f.png)
(ⅰ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b123ae31090740589ba27a846620b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(ⅱ)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c586b72a984e1fd9082b9f02ef7f3e91.png)
您最近一年使用:0次
解题方法
5 . 如图1,
是直角三角形,
是直角,
,
是
的中点,
的平分线交
于点
,现沿
将
折成二面角
,如图2.
![](https://img.xkw.com/dksih/QBM/2021/6/21/2747911929004032/2782004262993920/STEM/498f6ee94f9544aeb97130e568fb9f96.png?resizew=450)
(1)若折成直二面角
,求
的长度;
(2)若
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce6a315fc1142765e0cad32f26384dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3448091fc3cb31c12c92b2bdc3e6c1e4.png)
![](https://img.xkw.com/dksih/QBM/2021/6/21/2747911929004032/2782004262993920/STEM/498f6ee94f9544aeb97130e568fb9f96.png?resizew=450)
(1)若折成直二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3448091fc3cb31c12c92b2bdc3e6c1e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9601d29de0a884953b039ee72f0158fe.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d795e14e1c5873f1bb3af94998b46470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5975d4f63b16d5741e595e18bd4e41.png)
您最近一年使用:0次
名校
6 . 如图,在四棱锥
中,底面
为直角梯形,
,
,
,
,
为正三角形,点
,
分别在线段
和
上,且
.设二面角
为
,且
.
![](https://img.xkw.com/dksih/QBM/2021/6/24/2750004782448640/2781075118645248/STEM/7c97cefa-f451-4d48-b010-78c27ffe43f0.png?resizew=277)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)求三棱锥
的体积.
![](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/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4795ee1f96b430529934e2231b38885d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f807fa55d6a411a31cd1c6bc8cffe59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4e32e152097c2dfad9769da74680b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c911b404bbb8f8d5f1470585fa31ad97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e49129bc80bb9b119c94d81deb177f.png)
![](https://img.xkw.com/dksih/QBM/2021/6/24/2750004782448640/2781075118645248/STEM/7c97cefa-f451-4d48-b010-78c27ffe43f0.png?resizew=277)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19129982fd8389238b303e091bd94c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf581b4f42a25087f7eee23a7d66b6.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c5822ecaac92df0e7e2562b5670df5.png)
您最近一年使用:0次
2021-08-07更新
|
1053次组卷
|
2卷引用:江苏省常州市2020-2021学年高一下学期期末数学试题
名校
7 . 在棱长均为
的正三棱柱
中,
为
的中点.过
的截面与棱
,
分别交于点
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/51b01625-bc3d-4e4c-9250-f2007a291167.png?resizew=137)
(1)若
为
的中点,求三棱柱被截面
分成上下两部分的体积比
;
(2)若四棱锥
的体积为
,求截面
与底面
所成二面角的正弦值;
(3)设截面
的面积为
,
面积为
,
面积为
,当点
在棱
上变动时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/51b01625-bc3d-4e4c-9250-f2007a291167.png?resizew=137)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbad16d8800f6d55bd66bd64b1370e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f737b04ce09bc7e1ed86dc9b3c85203b.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd14590987d7987a02d856d427a2da44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e57f00c8225a33458a6b62bff0dcc16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbad16d8800f6d55bd66bd64b1370e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(3)设截面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f875de8bec0ffc84b8142f81080058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f562eb3c2a45d65cba066d712825a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e45a7ffef530bc1d0bd8d4fc72127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8010362247509d238c552c670a3429b3.png)
您最近一年使用:0次
2021-08-07更新
|
2129次组卷
|
10卷引用:浙江省宁波市九校2020-2021学年高一下学期期末联考数学试题
浙江省宁波市九校2020-2021学年高一下学期期末联考数学试题河南省许昌市、平顶山市、汝州市九校2021-2022学年高一下学期5月质量检测数学试题浙江省衢州市普通高中2022-2023学年高三上学期素养测评数学试题湖北省武汉市华中师范大学第一附属中学2022-2023学年高一下学期6月月考数学试题江苏省常州市华罗庚中学2022-2023学年高一创新班下学期期末数学试题(已下线)模块一 专题3 立体几何中的截面问题(已下线)模块一 专题5 立体几何中的截面问题(人教B)(已下线)第二章 立体几何中的计算 专题三 空间体积的计算 微点5 空间图形体积的计算方法【培优版】专题05 空间直线、平面的垂直-《期末真题分类汇编》(新高考专用)江苏省南通市海安高级中学2023-2024学年高一下学期第二次月考数学试题
8 . 如图,已知四棱锥
,
且
,
,
,
,
的面积等于
,E是PD是中点.
![](https://img.xkw.com/dksih/QBM/2021/6/29/2753469786300416/2781031193870336/STEM/37dc3ed6-8a66-441e-993b-dff3af0ce8c3.png?resizew=282)
(Ⅰ)求四棱锥
体积的最大值;
(Ⅱ)若
,
.
(i)求证:
;
(ii)求直线CE与平面PBC所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef699f5dc072b853cfe700c6f1abbbae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8751f226cdfbff4119a12c75a8df30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d768ffd5bf75080e8ff5ce6b472c0cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354ec8391bdd39377804ee4dab1d8f1c.png)
![](https://img.xkw.com/dksih/QBM/2021/6/29/2753469786300416/2781031193870336/STEM/37dc3ed6-8a66-441e-993b-dff3af0ce8c3.png?resizew=282)
(Ⅰ)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185e2811de8461a7d5032872258bf433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ea9995a58cbfbd0f8a5c712c2bcce4.png)
(i)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf6c62979a7aa534a191d8387a741e8.png)
(ii)求直线CE与平面PBC所成角的正弦值.
您最近一年使用:0次
2021-08-07更新
|
1174次组卷
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2卷引用:浙江省湖州市2020-2021学年高一下学期期末数学试题
9 . 如图,正三棱柱
中,
、
分别为
、
的中点.
平面
;
(2)若
,
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42605242ae45b6223b23b7a70a2b1618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b2213b575a7cfaffcdf91885005c7d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf90bac174f02c4552e56df4d910bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b2213b575a7cfaffcdf91885005c7d.png)
您最近一年使用:0次
2021-08-07更新
|
974次组卷
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5卷引用:陕西省安康市2020-2021学年高二下学期期末文科数学试题
陕西省安康市2020-2021学年高二下学期期末文科数学试题江西省南昌市豫章中学2021-2022学年高二上学期入学调研(A)数学(文)试题(已下线)专题8.4 直线、平面平行的判定及性质(练)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)第八章 立体几何初步(压轴题专练)-单元速记·巧练(人教A版2019必修第二册)(已下线)2024年高考全国甲卷数学(文)真题变式题16-23
解题方法
10 . 如图,已知在四棱锥
中,底面
是梯形,
且
,平面
平面
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/7/3/2756182890135552/2780130374574080/STEM/8fbd3c9dcef645e8b67db52ac0c1a8d0.png?resizew=225)
(1)证明:
;
(2)若
,
,求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc7f759828fe6a2e65e7c43070237f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3fe90c8fbaff2d796519ce93d66f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1e04eeb4de72e5750dae77bcb6f88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec3598c1f4f00f420abdeab0396391f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3196a55fe41e0c45af1a5ef8a704f4e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbe495090bac9d0bfa5b297a63d3d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbb05b8b630052ff544249ebd72d95d.png)
![](https://img.xkw.com/dksih/QBM/2021/7/3/2756182890135552/2780130374574080/STEM/8fbd3c9dcef645e8b67db52ac0c1a8d0.png?resizew=225)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafa8c14100a4f847b41b9148954116c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc1be8b5824c7cf10e237488cda10d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2301985c94d0995eb73a4a0c6442b67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a42fe1d6d73e8b6a650f279b0d9e872.png)
您最近一年使用:0次
2021-08-06更新
|
923次组卷
|
2卷引用:湖北省黄冈市2020-2021学年高一下学期期末数学试题