名校
解题方法
1 . 四棱锥
中,
平面
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/3ee80563-15d8-424a-91fd-fee8f3ad9131.png?resizew=144)
(1)求证:
;
(2)
为
中点,求
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.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/829018a6ca0aff95d89e3f7cd943274e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62526e69e7c4e59d9df8a5b2c2426400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/3ee80563-15d8-424a-91fd-fee8f3ad9131.png?resizew=144)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d50a68fed1c23837d1267bdda5c1962.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
您最近一年使用:0次
2021-05-16更新
|
1055次组卷
|
4卷引用:河南省温县第一高级中学2021-2022学年高二下学期3月月考文科数学试题
2 . 如图,直四棱柱
的底面
为平行四边形,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648793695313920/2649642349068288/STEM/e60a3bd8-e878-494c-8fa7-4608c55d72b4.png)
(Ⅰ)求证:平面
平面
;
(Ⅱ)求点
到平面
的距离.
![](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/30158361a72751ceed2b9a37f75370f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648793695313920/2649642349068288/STEM/e60a3bd8-e878-494c-8fa7-4608c55d72b4.png)
(Ⅰ)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a89b54b2798d0b900d1169eb831587a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a02de156f12f2623da67dda5ceaeb3f.png)
(Ⅱ)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
您最近一年使用:0次
2021-02-02更新
|
435次组卷
|
3卷引用:河南省焦作市2020-2021学年高三上学期第二次模拟考试文科数学
名校
3 . 如图,在四棱锥
中,平面
平面
,
,
,
是等腰直角三角形,
.
![](https://img.xkw.com/dksih/QBM/2020/9/25/2557560067260416/2557979218501632/STEM/0b29562a-6354-48d6-b97c-2e5541bf4853.png)
(Ⅰ)证明:
;
(Ⅱ)若
与平面
所成角的大小为
,
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4ab7e657f01bdfa235f8c4d6681d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34ce743ddea362374ca1e372956170d.png)
![](https://img.xkw.com/dksih/QBM/2020/9/25/2557560067260416/2557979218501632/STEM/0b29562a-6354-48d6-b97c-2e5541bf4853.png)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/371853a703a8dafa6f8e942f46cb8706.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f1161e0345b3646c71365430dccbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
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2020-09-26更新
|
485次组卷
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6卷引用:河南省焦作市温县第一高级中学2021-2022学年高三上学期9月月考数学(文)试题
4 . 在长方体ABCD﹣A1B1C1D1中,AB=1,AD=2,AA1=1,E为BC的中点,则点A到平面A1DE的距离是______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/2009944f-5b77-49ae-aba9-639b566e458e.png?resizew=187)
您最近一年使用:0次
2020-09-10更新
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262次组卷
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7卷引用:河南省焦作市县级重点中学2021-2022学年高三上学期期中考试文科数学试题
河南省焦作市县级重点中学2021-2022学年高三上学期期中考试文科数学试题2020届江苏省无锡市高三上学期期末数学试题2020届江苏省南京师大附中高三上学期第一次模拟考试(二)数学试题(已下线)第一章+空间向量与立体几何(基础过关)-2020-2021学年高二数学单元测试定心卷(人教A版2019选择性必修第一册)安徽省滁州市定远县重点中学2020-2021学年高三上学期1月质量检测数学(文)试题安徽省芜湖市第一中学2021-2022学年高二上学期第一次月末诊断测试数学试题福建省莆田砺志学校2021-2022学年高二上学期线上教学学情摸底考试数学试题
名校
解题方法
5 . 如图,在三棱柱
中,侧棱垂直于底面,
、
分别是
、
的中点,
是边长为
的等边三角形,
.
![](https://img.xkw.com/dksih/QBM/2020/6/28/2494643056877568/2495226665566208/STEM/c3794d63-e809-40b4-976e-5fadcb87cbe5.png)
(1)求证:
平面
;
(2)求点
到平面
的距离.
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c5282bc1ea20767a6c092c22c761ca.png)
![](https://img.xkw.com/dksih/QBM/2020/6/28/2494643056877568/2495226665566208/STEM/c3794d63-e809-40b4-976e-5fadcb87cbe5.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
您最近一年使用:0次
2020-06-29更新
|
418次组卷
|
6卷引用:河南省焦作市2020届高三下学期第四次模拟考试数学(文)试题
解题方法
6 . 如图,已知四棱锥
,平面
平面
,四边形
是菱形,
是等边三角形,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/d06bfd58-6e2c-4818-b1a0-75834877c894.png?resizew=160)
(1)证明:
;
(2)设点
在棱
上,且
,若点
到平面
的距离为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877582b5387278008d14fe5932622fe7.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/5b22e2a74105e80896c441d940d08540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/d06bfd58-6e2c-4818-b1a0-75834877c894.png?resizew=160)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8337d3e8670a9ed0165ac853b80af3d9.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bd4a9f643fa884165947866a05b0f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21665d21bbfb04410c78345de1fd15ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
7 . 如图,在三棱柱
中,底面为正三角形,
底面
,
,点
在线段
上,平面
平面
.
![](https://img.xkw.com/dksih/QBM/2019/4/24/2189243482423296/2189341122150400/STEM/6b566c0a95fb447895bcd9807aab2ba0.png?resizew=228)
(1)请指出点
的位置,并给出证明;
(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/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a724f22477766879d1e103e5a6c0b2.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/dcadc521b53fabecc10ed30fe8d96c2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
![](https://img.xkw.com/dksih/QBM/2019/4/24/2189243482423296/2189341122150400/STEM/6b566c0a95fb447895bcd9807aab2ba0.png?resizew=228)
(1)请指出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
您最近一年使用:0次
2019-04-24更新
|
2106次组卷
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3卷引用:【市级联考】河南省焦作市2019届高三年级第四次模拟考试数学(文科)试题
【市级联考】河南省焦作市2019届高三年级第四次模拟考试数学(文科)试题【市级联考】河南省濮阳市2019届高三第二次模拟考试数学(文)试题(已下线)专题08 立体几何中线段与面积等求解问题(第三篇)-备战2020年高考数学大题精做之解答题题型全覆盖
名校
8 . 如图所示,在直二面角
中,四边形
是边长为
的正方形,
是等腰直角三角形,其中
,则点
到平面
的距离为
![](https://img.xkw.com/dksih/QBM/2018/3/7/1896898064564224/1897645459603456/STEM/5106b80d-9e8a-4684-b011-da5e3a9ce908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d87b527147cb8dbb475bcefc0da2e6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86652f9864f608ce96b993d196386ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4d24165efcd72b9bc8698152a73a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://img.xkw.com/dksih/QBM/2018/3/7/1896898064564224/1897645459603456/STEM/5106b80d-9e8a-4684-b011-da5e3a9ce908.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-03-08更新
|
487次组卷
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12卷引用:河南省焦作市博爱县第一中学2023-2024学年高三上学期8月月考数学试题
河南省焦作市博爱县第一中学2023-2024学年高三上学期8月月考数学试题安徽省六安市第一中学2017-2018学年高二下学期开学考试数学(理)试题(已下线)2019年1月13日 《每日一题》理数(高二上期末复习)人教必修5+选修2-1-每周一测浙江省金华市磐安县第二中学2020-2021学年高二上学期期中数学试题北师大版(2019) 选修第一册 突围者 第三章 第四节 课时3 用向量方法研究立体几何中的度量关系2023版 北师大版(2019) 选修第一册 突围者 第三章 第四节 课时3 用向量方法研究立体几何中的度量关系山东省济南市实验中学2022-2023学年高二上学期10月月考数学试题浙江省杭州市桐庐中学2022-2023学年高二上学期第一次阶段性测试数学试题山东省烟台市蓬莱区蓬莱第二中学2021-2022学年高二上学期10月月考数学试题四川省兴文第二中学校2023-2024学年高二上学期10月月考数学试题广东省东莞市(万江中学、石龙中学、常平中学)三校2023-2024学年高二上学期期中联考数学试题山西省朔州市怀仁市第九中学高中部2023-2024学年高二上学期期中数学试题