名校
解题方法
1 . 在三棱锥
中,
,
,平面
平面
,点
在棱
上.
![](https://img.xkw.com/dksih/QBM/2020/8/13/2527164359933952/2530081765548032/STEM/ccf791bf04e84882add419545c57d0ab.png?resizew=168)
(1)若
为
的中点,证明:
;
(2)若三棱锥
的体积为
,求
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4959250cb4f4289b7c5400c7bee0426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925e8ff124fabafebb1467a47869688d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06123e81c41198c76a3335757fac2c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2020/8/13/2527164359933952/2530081765548032/STEM/ccf791bf04e84882add419545c57d0ab.png?resizew=168)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f48dc028c0950f410bb810b54195c7.png)
(2)若三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d4c4c20702df9a48a3ed7412fefe47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
您最近一年使用:0次
2020-08-18更新
|
451次组卷
|
11卷引用:江西省吉安县立中学2020-2021学年高二12月月考数学(文A)试题
江西省吉安县立中学2020-2021学年高二12月月考数学(文A)试题安徽省示范高中2019-2020学年高一下学期统一考试数学试题广东省江门市第二中学2020-2021学年高二上学期第一次月考数学试题安徽省合肥市第八中学2020-2021学年高二上学期第一次段考理科数学试题2020届湖南省邵阳市高三下学期5月二模文科数学试题广西桂林、崇左、贺州2019-2020学年高三5月联合模拟考试数学(文)试题(已下线)专题19 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅲ专版)河北省重点中学2019-2020学年高一下学期期末数学试题河北省邢台市临西实验中学2019-2020学年高一下学期期末数学试题(已下线)文科数学-2021年高考押题预测卷(新课标Ⅰ卷)01(已下线)文科数学-2021年高考押题预测卷(新课标Ⅰ卷)03
名校
解题方法
2 . 如图,在梯形
中,
平面
,
平面
.
![](https://img.xkw.com/dksih/QBM/2020/8/2/2519367960879104/2519699761881088/STEM/f7acfdbd-2d7b-4e69-a863-2551bae04b33.png)
(1)求证:
;
(2)
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608f5c1f359fe8d91a5db80f5909455f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0b72906641ed13716cfbce50923282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2020/8/2/2519367960879104/2519699761881088/STEM/f7acfdbd-2d7b-4e69-a863-2551bae04b33.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316c97c5b6f7c0fbdf7b9e4b9fccb661.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3450879da39b6c4c4ce067027c686923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
您最近一年使用:0次
2020-08-03更新
|
667次组卷
|
4卷引用:【南昌新东方】 江西省南昌三中2020-2021学年高三上学期10月第一次月考数学(文)试题
(已下线)【南昌新东方】 江西省南昌三中2020-2021学年高三上学期10月第一次月考数学(文)试题2020届河北省唐山市高三第二次模考数学(文)试题海南省临高县2023届高三模拟考试数学试题四川省成都市石室中学2023届高三下学期高考专家联测卷(四)数学(文)试题
名校
解题方法
3 . 在四棱锥
中,底面
是矩形,平面
平面
,
,
是
的中点.
,
.
![](https://img.xkw.com/dksih/QBM/2020/7/13/2505229941760000/2506474520821760/STEM/e6d1788f-5244-46e0-b35b-3fc555be0d06.png)
(1)求证:
;
(2)若
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9a6db3571fa57bfa2d5e4d44c51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21665d21bbfb04410c78345de1fd15ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4cab41e3c3e1b04f0cff21aca315238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://img.xkw.com/dksih/QBM/2020/7/13/2505229941760000/2506474520821760/STEM/e6d1788f-5244-46e0-b35b-3fc555be0d06.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2919a92ec8fdae2a7b8511fff31fa65.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea051187d473c953b3d81a6ebe4d21f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14f0106a1329dfce39bb51ae7c9c74ff.png)
您最近一年使用:0次
2020-07-15更新
|
219次组卷
|
4卷引用:江西省抚州市南城一中2020--2021学年高二4月月考数学(理)试题
名校
解题方法
4 . 如图,在正方体
中,M,N分别为棱
,
的中点.
![](https://img.xkw.com/dksih/QBM/2020/7/9/2501761767686144/2502439590428672/STEM/5730937c567444eeb2b50b686c1f41f5.png?resizew=222)
(1)证明:
平面
;
(2)若
,求点M到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f23a20779cbf15d4300ffc69f27f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb16f7dbc4b9993c4efa0764df1d8ca.png)
![](https://img.xkw.com/dksih/QBM/2020/7/9/2501761767686144/2502439590428672/STEM/5730937c567444eeb2b50b686c1f41f5.png?resizew=222)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f16b858f4745b79f0ca8258522180a0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e44374cc9f8e36b164e5fc99ee227dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f16b858f4745b79f0ca8258522180a0.png)
您最近一年使用:0次
2020-07-09更新
|
243次组卷
|
2卷引用:江西省吉水中学2020-2021学年高二11月月考数学(理)试题
名校
解题方法
5 . 如图所示,在四棱锥
中,
平面
,
是线段
的中垂线,
与
交于点
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2020/7/7/2500980319559680/2501550599749632/STEM/4500e48a644c4309b9bbf53239d3360d.png?resizew=236)
(1)证明:平面
平面
;
(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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cd5c4f8b106d01e0e431078e1a468b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78691dacfa00dd2448b1ba94b264ec8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b42602dabcdc7bdaba0ee0af37d71f0.png)
![](https://img.xkw.com/dksih/QBM/2020/7/7/2500980319559680/2501550599749632/STEM/4500e48a644c4309b9bbf53239d3360d.png?resizew=236)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次
2020-07-08更新
|
614次组卷
|
8卷引用:江西省贵溪市实验中学2020-2021学年高二上学期第一次月考数学(文)试题
江西省贵溪市实验中学2020-2021学年高二上学期第一次月考数学(文)试题2020届山西省运城市高中联合体高三模拟(二)数学(文)试题贵州省思南中学2019-2020学年高一下学期期末考试数学试题安徽省名校学术联盟2020届高三下学期押题卷文科数学试题(已下线)专题8.5 直线、平面垂直的判定及性质(精讲)-2021年新高考数学一轮复习学与练(已下线)专题8.5 直线、平面垂直的判定及性质(讲)-2021年新高考数学一轮复习讲练测(已下线)专题8.5 直线、平面垂直的判定及性质(讲)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)押全国卷(文科)第19题 立体几何-备战2022年高考数学(文)临考题号押题(全国卷)
名校
解题方法
6 . 如图,三棱锥
中,底面△
是边长为2的正三角形,
,
底面
,点
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/26/d0b693e2-05dd-463f-aee6-1536b6a2408d.png?resizew=150)
(1)求证:平面
平面
;
(2)在线段
上是否存在点
,使得三棱锥
体积为
?若存在,确定点
的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.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/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/26/d0b693e2-05dd-463f-aee6-1536b6a2408d.png?resizew=150)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51838e395dfc9d9ef597d9e01f46272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7677eda0e5caba5c99ca1d59c7c0c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a8b76e36783a69d14ec54af82c7df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
2020-06-30更新
|
1097次组卷
|
6卷引用:江西省宜春市奉新县第一中学2021-2022学年高二上学期第三次月考数学(文)试题
名校
解题方法
7 . 如图,四棱锥P-ABCD中,PD⊥底面ABCD,AB∥CD,∠BAD=
,AB=1,CD=3,M为PC上一点,且MC=2PM.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/36ee2d72-e476-4b35-b07b-7cd2ba20e04d.png?resizew=166)
(1)证明:BM
平面PAD;
(2)若AD=2,PD=3,求点D到平面PBC的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/36ee2d72-e476-4b35-b07b-7cd2ba20e04d.png?resizew=166)
(1)证明:BM
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
(2)若AD=2,PD=3,求点D到平面PBC的距离.
您最近一年使用:0次
2020-10-23更新
|
296次组卷
|
5卷引用:江西省南昌市第十中学2021-2022学年高二下学期第二次月考数学(理)试题
8 . 如图所示,梯形
中,
,平面
平面
,且四边形
为矩形,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2020/6/18/2487460573790208/2488060332752896/STEM/e08a17b2-4f6e-4c33-973f-d1a15440c23e.png)
(1)求证:
平面
;
(2)求点
到平面
的距离.
![](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/fb5a68a008a22d5a8cea5fe8dcf31e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ea9d92e5c258a50af1e461c7388894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0524c3287106a4460858ed3926989a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af32ecdc0dc2f1a60b47f3311a0587d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71aa812f83d86aaf308244a9afc09322.png)
![](https://img.xkw.com/dksih/QBM/2020/6/18/2487460573790208/2488060332752896/STEM/e08a17b2-4f6e-4c33-973f-d1a15440c23e.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
您最近一年使用:0次
2020-06-19更新
|
995次组卷
|
5卷引用:江西省南昌市进贤县第一中学2021届高三上学期第二次月考数学(文)试题
名校
解题方法
9 . 如图,正方体
,点
为对角线
上的点,当点
由点
向点
运动过程中,下列说法正确的是
![](https://img.xkw.com/dksih/QBM/2020/6/18/2487460573790208/2488060332654592/STEM/d0202c5d059a45f3b2b4402506d670b7.png?resizew=144)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://img.xkw.com/dksih/QBM/2020/6/18/2487460573790208/2488060332654592/STEM/d0202c5d059a45f3b2b4402506d670b7.png?resizew=144)
A.![]() |
B.![]() |
C.![]() ![]() |
D.点![]() ![]() |
您最近一年使用:0次
2020-06-19更新
|
671次组卷
|
3卷引用:江西省南昌市进贤县第一中学2021届高三上学期第二次月考数学(文)试题
解题方法
10 . 在如图所示的多面体中,平面
垂直于以
为直径的半圆面,
为
上一点,
,
,
.
![](https://img.xkw.com/dksih/QBM/2020/5/4/2455712498843648/2457599813337088/STEM/472d7ef98b114dcf9a1b6eea62933c54.png?resizew=197)
(1)若点
是线段
的中点,求证:
平面
;
(2)若点
为
的中点,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e20b970f3b0dc1c9a3de6eb09beead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1822a1725b8797343a6615378356d91c.png)
![](https://img.xkw.com/dksih/QBM/2020/5/4/2455712498843648/2457599813337088/STEM/472d7ef98b114dcf9a1b6eea62933c54.png?resizew=197)
(1)若点
![](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/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
您最近一年使用:0次
2020-05-07更新
|
167次组卷
|
3卷引用:江西省赣州市2019-2020学年高三年级摸底考试数学(文)试题
江西省赣州市2019-2020学年高三年级摸底考试数学(文)试题(已下线)【南昌新东方】 江西省南昌市新建一中2020-2021学年高三上学期10月第一次月考数学(文)试题江西省南昌市新建县第一中学2021届高三第一次月考数学文科试题