解题方法
1 . 如图,三棱柱
中,
,
为四边形
对角线交点,
为棱
的中点,且
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/29caa9bf-d2e1-40fd-82aa-d679a964648b.png?resizew=172)
(1)证明:
平面
;
(2)证明:四边形
为矩形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6fd1ba85d5d39185f318cfb2b4d3f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.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/6a22d6b860f06fe23618b0d3de6768fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/29caa9bf-d2e1-40fd-82aa-d679a964648b.png?resizew=172)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a78b6fb582468bdd5c3afa5461aefce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)证明:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
您最近一年使用:0次
名校
解题方法
2 . 如图,在三棱柱
中,
,
为
中点,平面
平面
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/94a628d3-455c-403b-a665-5fde902547a2.png?resizew=158)
(1)求证:
平面
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a9ad711b25c36dae0c2a2cedff9954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77e4bef1e4e2b748afa3caa59f926201.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/94a628d3-455c-403b-a665-5fde902547a2.png?resizew=158)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07391ef575d28f09bc5cda0ff8130a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5888bec948373f3854258ad80171073d.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa8345302e8036af33d4598282144d7.png)
您最近一年使用:0次
2020-05-09更新
|
1381次组卷
|
2卷引用:2020届江苏省苏州市常熟市高三阶段性抽测三数学试题
解题方法
3 . 如图,在三棱柱
中,侧面
底面
,
,
,
分别是棱
,
的中点.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/a918df66-bc78-4c8e-9c3a-6c2d3bc4cc8d.png?resizew=155)
(1)
∥平面
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a2e10a5aebe40a9018d5ee3ade7af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/a918df66-bc78-4c8e-9c3a-6c2d3bc4cc8d.png?resizew=155)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589c878e789e07e33d65c8a18cf2c58a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b6c68ad9b2e22725f3cbf7c1a3f8dc.png)
您最近一年使用:0次
2020-05-01更新
|
738次组卷
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6卷引用:2020届江苏省南通市基地学校高三下学期第二次大联考数学试题
2020届江苏省南通市基地学校高三下学期第二次大联考数学试题江苏省徐州市2020届高三下学期考前模拟(四模)数学试题江苏省徐州市2020届高三(6月份)高考数学考前模拟试题(已下线)专题15 空间线面位置关系的证明-2020年高考数学母题题源解密(江苏专版)江苏省扬州市高邮市第一中学2020-2021学年高三上学期10月测试数学试题云南省云南师范大学附属镇雄中学2022-2023学年高一下学期5月月考数学试题
4 . 如图,在底面边长为1,侧棱长为2的正四棱柱
中,P是侧棱
上的一点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/d9b6a15a-7933-43dc-843f-538270a76c7a.png?resizew=180)
(1)若
,求直线AP与平面
所成角;
(2)在线段
上是否存在一个定点Q,使得对任意的实数m,都有
,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26611370f85df9e27904893f3fbd0ade.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/d9b6a15a-7933-43dc-843f-538270a76c7a.png?resizew=180)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb598655034f98257dcaf0a70f0c6fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bf9ef324f1289e205e29fed105c38e.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e7d9bde2666970498e4330c6e6913f.png)
您最近一年使用:0次
名校
解题方法
5 . 已知三棱锥
中,
,
.若平面
分别与棱
相交于点
且
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/5f571930-b2a8-454a-9224-fdb37f1262bc.png?resizew=172)
求证:(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413c799e8fb983e6274ec4be9ff6c431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04ac462c8801ab6de7d64e38d95efe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c2d86d8daea5e652d99fe1c6bc3f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93a5ea2c4dab70518bed4b3f2989f47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/5f571930-b2a8-454a-9224-fdb37f1262bc.png?resizew=172)
求证:(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c6642a4c35cab16287c99bc9b07472.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a213c602df5aa7fed9bfd18f0b475aea.png)
您最近一年使用:0次
2019-05-15更新
|
4531次组卷
|
6卷引用:【全国百强校】江苏省扬州中学2019届高三4月考试数学试题
【全国百强校】江苏省扬州中学2019届高三4月考试数学试题江苏省泰州中学2019届高三3月月考数学试题新疆维吾尔自治区乌鲁木齐市第四中学2018-2019学年高一下学期期末数学试题黑龙江省牡丹江市第一高级中学2018-2019学年高一下学期期末数学试题四川省广安市广安中学2019-2020学年高二9月月考(文)数学试题(已下线)专题01 平行、垂直问题的证明(第三篇)-备战2020年高考数学大题精做之解答题题型全覆盖