名校
解题方法
1 . 如图,在四棱锥
中,
为正三角形,平面
平面
,
//
,
,
.
![](https://img.xkw.com/dksih/QBM/2019/6/7/2220515209068544/2220763683184640/STEM/0ad9b1c0afd04d89bce4301d90237f4b.png?resizew=118)
(1)求证:平面
平面
.
(2)求三棱锥
的体积.
(3)在棱
上是否存在点
,使得
//平面
?若存在,请确定点
的位置,并证明;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.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/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d43dfede0d7e17c2ad89ab51349e6bf0.png)
![](https://img.xkw.com/dksih/QBM/2019/6/7/2220515209068544/2220763683184640/STEM/0ad9b1c0afd04d89bce4301d90237f4b.png?resizew=118)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
(3)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0213c5787a5a6b38d11bceca5567f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
2017-08-07更新
|
1421次组卷
|
5卷引用:北京市昌平区2017届高三第二次统一练习数学(文科)试题
2 . 如图,在四棱锥
中,
是正方形,
平面
.
,
,
,
分别是
,
,
的中点.
(1)求证:平面
平面
.
(2)在线段
上确定一点
,使
平面
,并给出证明.
![](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://staticzujuan.xkw.com/quesimg/Upload/formula/99926bf272cd757f0985c69b390ebcce.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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ed2ad0f3b104a54bc7fdc3739c2a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d8073385db872410ca88187bbb0d34.png)
![](https://img.xkw.com/dksih/QBM/2017/11/3/1809205224898560/1810620240232448/STEM/a04cc14aa5324ebb840072ef8554bc98.png?resizew=298)
您最近一年使用:0次
2017-11-05更新
|
728次组卷
|
3卷引用:北京海淀育英中学2016-2017学年高二上学期期中考试数学试题
解题方法
3 . 如图,在三棱柱
中,
底面
,
,
,
、
分别是棱
、
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/25/4a2e15a0-7f21-49cf-80ea-2ff815aa47b0.png?resizew=161)
(1)求证:
平面
.
(2)若线段
上的点
满足平面
平面
,试确定点
的位置,并说明理由.
(3)证明:
.
![](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/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686849a983d24dd62270b2967708cc24.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/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/25/4a2e15a0-7f21-49cf-80ea-2ff815aa47b0.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
(2)若线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3febf04c5726ce8133a7937fe4565c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca08229da992fdd08d6cb1efeb469b1.png)
您最近一年使用:0次
名校
解题方法
4 . 如图所示,
矩形
所在的平面,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/18/3ebc2af6-ee27-4b66-b513-c3f99a96fbd1.png?resizew=167)
(1)求证:
平面
;
(2)求证:
.
(3)当
满足什么条件时,能使
平面
成立?并证明你的结论.
![](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/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cca777c664ecc22e40dff4ccae6b248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/18/3ebc2af6-ee27-4b66-b513-c3f99a96fbd1.png?resizew=167)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eaa5e336f830a3e5cd60ff7a756f3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab384f2520d76ed8fa01b31e09c1eea.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf663ee2bf1ac5c43f4306fa0cf250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2017-10-31更新
|
1161次组卷
|
3卷引用:北京西城13中2016-2017学年高二上期期中数学(文)试题
5 . 如图,在梯形
中,
,
,
,
平面
,
.
![](https://img.xkw.com/dksih/QBM/2017/10/28/1805179522236416/1805988278362112/STEM/172bcf233ce6477d8b3cd833d4a8f618.png?resizew=218)
(1)证明:
平面
;
(2)若
为
的中点,求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829018a6ca0aff95d89e3f7cd943274e.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/9d50a68fed1c23837d1267bdda5c1962.png)
![](https://img.xkw.com/dksih/QBM/2017/10/28/1805179522236416/1805988278362112/STEM/172bcf233ce6477d8b3cd833d4a8f618.png?resizew=218)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932a04304f2d4975955d4baabb2deeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次
2017-10-29更新
|
513次组卷
|
2卷引用:山西省太原市师范学院附属中学2017-2018学年高二上学期第一次月考数学(理)试题
名校
解题方法
6 . 如图所示,在四棱锥
中,
平面
,底面
是菱形,
,
,
.
为
与
的交点,
为棱
上一点,
(1)证明:平面
⊥平面
;
(2)若三棱锥
的体积为
,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/e6906f59d09ce31956d6f5ea2b23fc77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a459372aa54090fcce9430a3cfa182f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca48c18021e7be4bbb3e95576e1c1b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)若三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b999123e51b75bfeea6bee373e1677e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca48c18021e7be4bbb3e95576e1c1b5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/cde40a84-07f6-4a39-941e-abec3a77b9a3.png?resizew=170)
您最近一年使用:0次
2017-10-20更新
|
758次组卷
|
3卷引用:四川省成都市郫都区2018届高三阶段测试(期中)数学(文)试题
解题方法
7 . 如图,在四棱锥
中,平面
⊥平面
.四边形
为正方形,且点
为
的中点,点
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/22/89210c08-362a-4c95-9fdc-fcb5b6d7f44a.png?resizew=194)
(1)求证:
⊥平面
;
(2)求证:
∥平面
;
(3)若
,点
为
的中点,在棱
上是否存在点
,使得平面
⊥平面
?若存在,请说明其位置,并加以证明;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d923a338dd2d2e29336b42574d38448.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/22/89210c08-362a-4c95-9fdc-fcb5b6d7f44a.png?resizew=194)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d923a338dd2d2e29336b42574d38448.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fee21c4658f6139d9eec1db0096922f.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/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b5b41994c2a4dfa5bb0bc984061cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
8 . 如图,正方体
中,
分别为
的中点.
(1)求证:平面
⊥平面
;
(2)当点
在
上运动时,是否都有
平面
,证明你的结论;
(3)若
是
的中点,试判断
与平面
是否垂直?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e06947327f4c41340b8713e8a6b4c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4cd2b33bd983a9ed6575b9de04a46a.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3334853138fb74687d66b1e45f2fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f488b85184d4e9d5fc9ccd0cfda8c5.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3334853138fb74687d66b1e45f2fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e06947327f4c41340b8713e8a6b4c87.png)
![](https://img.xkw.com/dksih/QBM/2017/8/21/1756902440853504/1757537232633856/STEM/b379cb46221c45b4ba73b4d1ca7c8ab5.png?resizew=220)
您最近一年使用:0次
14-15高三上·贵州遵义·阶段练习
9 . 如图,在直三棱柱
中,
,且
.
(1)求证:平面
⊥平面
;
(2)设
是
的中点,判断并证明在线段
上是否存在点
,使
‖平面
;若存在,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f47d6a88e962cd790d2f159c021ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aba147ef7f44248b5002cebebc6644e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9007977155e06426eb6983775e0839af.png)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
![](https://img.xkw.com/dksih/QBM/2014/8/6/1571835590991872/1571835596881920/STEM/c93d1b395e744070af56f2a489e9df65.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2093e4e0580dd53e3d25769d05ab9f9c.png)
![](https://img.xkw.com/dksih/QBM/2014/8/6/1571835590991872/1571835596881920/STEM/881f511785094ef5aecbc3894e8afaa3.png)
您最近一年使用:0次
10 . 已知四棱台
的下底面是边长为4的正方形,
,且
面
,点
为
的中点,点
在
上,
,
与面
所成角的正切值为2.
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/6e3d1c174c68482dacf02fedb5be4125.png?resizew=234)
(Ⅰ)证明:
面
;
(Ⅱ)求证:
面
,并求三棱锥
的体积.
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/d88cd0caee424dd7b5b7e613451e1e8f.png?resizew=119)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/02a34008e38b48868aab49bc73fb3ac1.png?resizew=53)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/f4005f91998e4d48bd313ce75b5ed179.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/7b469e3683f3499eb5667bafea560131.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/fcdd0823aa4b4d67864b42de2e1bc03c.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/392bd2ccb6a2481b80a317fb8fea0a55.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/641b2f927cc749ddbc999bfabe8dd3db.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/2159f82842c74b8891d03d8d5ccef65b.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/3752f3e007be4b1abacc7a9e63f322f8.png?resizew=73)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/1065a71f857d402a9d5dba0c43798749.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/7b469e3683f3499eb5667bafea560131.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/6e3d1c174c68482dacf02fedb5be4125.png?resizew=234)
(Ⅰ)证明:
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/f22dfced01694498af37b49858dddcdc.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/f8c4a18ecffb42ee88eb12e9569d97ae.png?resizew=52)
(Ⅱ)求证:
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/0e4aebe48b824c7f9ba331405853b053.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/5e10df256d444157a88df238a066cda2.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2017/6/4/1701753905446912/1701893112143872/STEM/8c5ee610ec474657b72f559ba23ecd79.png?resizew=63)
您最近一年使用:0次