名校
解题方法
1 . 如图,在四棱锥
中,底面
是菱形,
平面
,E为
的中点.
平面
;
(2)求证:
平面
.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30067b7b236d17af8a462f96a58d11bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
您最近一年使用:0次
2024-01-17更新
|
1786次组卷
|
9卷引用:北京市第一次普通高中2023-2024学年高二上学期学业水平合格性考试数学试题
北京市第一次普通高中2023-2024学年高二上学期学业水平合格性考试数学试题(已下线)第12讲 8.6.2直线与平面垂直的判定定理(第1课时)-【帮课堂】(人教A版2019必修第二册)(已下线)第17讲 第八章 立体几何初步 章末重点题型大总结-【帮课堂】(人教A版2019必修第二册)(已下线)13.2.3 直线与平面的位置关系(2)-【帮课堂】(苏教版2019必修第二册)(已下线)11.4.1直线与平面垂直-同步精品课堂(人教B版2019必修第四册)(已下线)专题06 立体几何初步解答题热点题型-《期末真题分类汇编》(江苏专用)广西南宁市第三中学2023-2024学年高一下学期月考(三)数学试题江苏省苏州市相城区陆慕高级中学2023-2024学年高一下学期5月月考数学试题福建省泉州市安溪第八中学2023-2024学年高一下学期6月份质量检测数学试题
解题方法
2 . 如图,在四棱锥
中,
平面
,底面
是矩形.
平面
;
(2)求证:
平面
.
![](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/68fdb2b9d6a4a54ed1328c5b3adcf7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
您最近一年使用:0次
解题方法
3 . 阅读下面题目及其解答过程.
如图,在直三棱柱
中,
,D,E分别为BC,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/24/d053b157-0829-465a-b6dc-3ea9c85cb713.png?resizew=138)
(1)求证:
平面
;
(2)求证:
.
解:(1)取
的中点F,连接EF,FC,如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/24/0a94878a-2f4f-4376-980a-eaccd4e4ed9b.png?resizew=139)
在
中,E,F分别为
,
的中点,
所以
,
.
由题意知,四边形
为 ① .
因为D为BC的中点,所以
,
.
所以
,
.
所以四边形DCFE为平行四边形,
所以
.
又 ② ,
平面
,
所以,
平面
.
(2)因为
为直三棱柱,所以
平面ABC.
又
平面ABC,所以 ③ .
因为
,且
,所以 ④ .
又
平面
,所以
.
因为 ⑤ ,所以
.
以上题目的解答过程中,设置了①~⑤五个空格,如下的表格中为每个空格给出了两个选项,其中只有一个符合逻辑推理.请选出符合逻辑推理的选项,并填写在答题卡的指定位置(只需填写“A”或“B”).
如图,在直三棱柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/24/d053b157-0829-465a-b6dc-3ea9c85cb713.png?resizew=138)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9874eca4abea481fa84eb772a920f9c7.png)
解:(1)取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/24/0a94878a-2f4f-4376-980a-eaccd4e4ed9b.png?resizew=139)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac03bd962f6fbfecb16b558f3c374784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcfbf154e19cbd0580d58ccc9bac077c.png)
由题意知,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f96c673a2381f118ea2d3efc0bca1f3.png)
因为D为BC的中点,所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1ab54c55e934d0263f0aa33acb6116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0463b6e3d27b5cfc1df0e6c14fbef.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70099a8a0e7cff25485a63e8811a6aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeeadcae4a2964c73187962918724ae7.png)
所以四边形DCFE为平行四边形,
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dced11455b3e31a9090915f80a046fa3.png)
又 ② ,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e3ffd599e4fb57893b141bad96c66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
所以,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
(2)因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ecf072589c0f901d92f6bda111d841.png)
又
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be509ef5101aae24609ff9941cb246fc.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83499936f532ddce9068dd1ff8eb2b01.png)
又
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e3ffd599e4fb57893b141bad96c66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f76925ed99b7172956319974258a9b.png)
因为 ⑤ ,所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9874eca4abea481fa84eb772a920f9c7.png)
以上题目的解答过程中,设置了①~⑤五个空格,如下的表格中为每个空格给出了两个选项,其中只有一个符合逻辑推理.请选出符合逻辑推理的选项,并填写在答题卡的指定位置(只需填写“A”或“B”).
空格序号 | 选项 |
① | A.矩形 B.梯形 |
② | A.![]() ![]() ![]() ![]() |
③ | A.![]() ![]() |
④ | A.![]() ![]() ![]() ![]() |
⑤ | A.![]() ![]() |
您最近一年使用:0次
解题方法
4 . 如图,在正方体
中,
是正方形ABCD及其内部的点构成的集合.给出下列三个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/4960be11-8404-4793-b39d-60d44fb9a902.png?resizew=158)
①
,
;
②
,
;
③
,
与
不垂直.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/4960be11-8404-4793-b39d-60d44fb9a902.png?resizew=158)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0aa37f3d7918b9b55c4eefc76ae421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de9332e9e07d322d6ca7655c1203edd3.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54d3f205531cb8f3a50b1e1326d13387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2985949e7810abec5a2d4994f81c683a.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0aa37f3d7918b9b55c4eefc76ae421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
解题方法
5 . 如图,在四棱锥
中,底面
是正方形,
平面
.
![](https://img.xkw.com/dksih/QBM/2022/1/6/2888465217650688/2893494674333696/STEM/d18f3fa50e89403388d7c8c479a38711.png?resizew=150)
(1)求证:
平面
;
(2)求证:
平面
.
![](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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2022/1/6/2888465217650688/2893494674333696/STEM/d18f3fa50e89403388d7c8c479a38711.png?resizew=150)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963a91995abd4927d75406d16e10a81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
您最近一年使用:0次
2022-01-13更新
|
1392次组卷
|
3卷引用:北京市普通高中2021-2022学年高二第二次学业水平合格性考试数学试题
名校
解题方法
6 . 如图,在三棱锥O-ABC中,OA,OB,OC两两互相垂直,OA=OB,且D,E,F分别为AC,BC,AB的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/10/68dbcaa4-00f5-4eb1-ba14-93cbba5c0e16.png?resizew=143)
(1)求证:
平面AOB;
(2)求证:AB⊥平面OCF.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/10/68dbcaa4-00f5-4eb1-ba14-93cbba5c0e16.png?resizew=143)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c42f59705e0d18d0bd12320c5400a1.png)
(2)求证:AB⊥平面OCF.
您最近一年使用:0次
2021-07-05更新
|
1063次组卷
|
3卷引用:北京市2020-2021学年高二第一次普通高中学业水平合格性考试数学试题
解题方法
7 . 阅读下面题目及其证明过程,并回答问题.
如图,在三棱锥
中,
底面
,
,
,
分别是棱
,
的中点.
![](https://img.xkw.com/dksih/QBM/2020/11/10/2590155875131392/2590586443956224/STEM/59e96d8fb6364a7a9a0c2415e5ced222.png?resizew=229)
(1)求证:
平面
;
(2)求证:
.
解答:(1)证明:在
中,
因为
,
分别是
,
的中点,
所以
.
因为
平面
,
平面
,
所以
平面
.
(2)证明:在三棱锥
中,
因为
底面
,
平面
,
所以______.
因为
,且
,
所以______.
因为
平面
,
所以______.
由(1)知
,
所以
.
问题1:在(1)的证明过程中,证明的思路是先证______,再证______.
问题2:在(2)的证明过程中,设置了三个空格.请从下面给出的四个选项中,为每一个空格选择一个正确的选项,以补全证明过程.
①
;②
;③
平面
;④
.
如图,在三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2020/11/10/2590155875131392/2590586443956224/STEM/59e96d8fb6364a7a9a0c2415e5ced222.png?resizew=229)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc90fee532e50d319081d571410421.png)
解答:(1)证明:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f6c1984e2068203465b10ea4ead7916.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871502ee0c5d1414cfe81e8409b62d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9fe3c7e943c3beb7f4bbf345822064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)证明:在三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8690d88536618e3f993dae41a3de66a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
所以______.
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34baf7aadc048e75e776b80eea5b62b5.png)
所以______.
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9fe3c7e943c3beb7f4bbf345822064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
所以______.
由(1)知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f6c1984e2068203465b10ea4ead7916.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc90fee532e50d319081d571410421.png)
问题1:在(1)的证明过程中,证明的思路是先证______,再证______.
问题2:在(2)的证明过程中,设置了三个空格.请从下面给出的四个选项中,为每一个空格选择一个正确的选项,以补全证明过程.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a15a004f7d47ed595f063e60075223a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9ef979b9f27a28cbda6923e888ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da48240e7fc3248f773ac1500c15ec14.png)
您最近一年使用:0次
8 . 如图,在三棱锥
中,
平面ABC,点D,E,F分别为PC,AB,AC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/f1c930c8-c484-49cb-aa40-23ab41bc30a0.png?resizew=182)
(Ⅰ)求证:
平面DEF;
(Ⅱ)求证:
.
阅读下面给出的解答过程及思路分析.
解答:(Ⅰ)证明:在
中,因为E,F分别为AB,AC的中点,所以①.
因为
平面DEF,
平面DEF,所以
平面DEF.
(Ⅱ)证明:因为
平面ABC,
平面ABC,所以②.
因为D,F分别为PC,AC的中点,所以
.所以
.
思路分析:第(Ⅰ)问是先证③,再证“线面平行”;
第(Ⅱ)问是先证④,再证⑤,最后证“线线垂直”.
以上证明过程及思路分析中,设置了①~⑤五个空格,如下的表格中为每个空格给出了三个选项,其中只有一个正确,请选出你认为正确的选项,并填写在答题卡的指定位置.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/f1c930c8-c484-49cb-aa40-23ab41bc30a0.png?resizew=182)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963a91995abd4927d75406d16e10a81f.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d276d0010fd458383ea3dd61415e1aa.png)
阅读下面给出的解答过程及思路分析.
解答:(Ⅰ)证明:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fa6d320a49764f0fbd3df95bde452a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b102c0fb7a1e3911e22535579ffa84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963a91995abd4927d75406d16e10a81f.png)
(Ⅱ)证明:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8690d88536618e3f993dae41a3de66a.png)
因为D,F分别为PC,AC的中点,所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb5dc3315629bf14991d5c4feb3a1ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d276d0010fd458383ea3dd61415e1aa.png)
思路分析:第(Ⅰ)问是先证③,再证“线面平行”;
第(Ⅱ)问是先证④,再证⑤,最后证“线线垂直”.
以上证明过程及思路分析中,设置了①~⑤五个空格,如下的表格中为每个空格给出了三个选项,其中只有一个正确,请选出你认为正确的选项,并填写在答题卡的指定位置.
空格 | 选项 | ||
① | A.![]() | B.![]() | C.![]() |
② | A.![]() | B.![]() | C.![]() |
③ | A.线线垂直 | B.线面垂直 | C.线线平行 |
④ | A.线线垂直 | B.线面垂直 | C.线线平行 |
⑤ | A.线面平行 | B.线线平行 | C.线面垂直 |
您最近一年使用:0次
9 . 如图,在三棱锥
中,
底面ABC,
,D,E,分别为PB,PC的中点.
![](https://img.xkw.com/dksih/QBM/2018/12/11/2094724680179712/2096683791368192/STEM/7c0835b242ea4807a052c3c9f9c40b8f.png?resizew=147)
Ⅰ
求证:
平面ADE;
Ⅱ
求证:
平面PAB.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc2aaed1e9ead175f30f7130569d0411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4564baf209de77802d46cda82995c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5034a973110e2a6eb2e7d5699c24f3.png)
![](https://img.xkw.com/dksih/QBM/2018/12/11/2094724680179712/2096683791368192/STEM/7c0835b242ea4807a052c3c9f9c40b8f.png?resizew=147)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a6b190811e7735c33b1177ba2c0de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8acde6a4543f7c7dc745c542cda311b.png)
您最近一年使用:0次
2018-12-14更新
|
1649次组卷
|
3卷引用:2018年北京市普通高中学业水平考试数学试卷