名校
1 . 四棱锥
中,底面
为矩形,
.侧面
底面
.
![](https://img.xkw.com/dksih/QBM/2018/3/1/1892621404536832/1893717642248192/STEM/37cf75aa24754da3a03c8f62be4cbb5c.png?resizew=219)
(1)证明:
;
(2)设
与平面
所成的角为
,求二面角
的余弦值.
![](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/425b8af6a1e38b7d50416768a9b38874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2018/3/1/1892621404536832/1893717642248192/STEM/37cf75aa24754da3a03c8f62be4cbb5c.png?resizew=219)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4125524caac016727c80d2722c5ba3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1069d514c3c32aeabd274475ee209ed6.png)
您最近一年使用:0次
2018-03-02更新
|
1744次组卷
|
7卷引用:河北省石家庄市2019-2020学年高二上学期期末数学试题
河北省石家庄市2019-2020学年高二上学期期末数学试题河北石家庄一中2018-2019学年高二下学期3月月考理科数学河南省豫南九校2018届高三下学期第一次联考试题理科数学河南省豫南九校2018届高三下学期第一次联考理数试题(已下线)2018年高考数学备考中等生百日捷进提升系列(综合提升篇) 专题04 立体几何解答题(理)四川省成都市树德中学2019-2020学年高二下学期定时检测(线上开学考试)数学试题四川省成都市树德中学2019-2020学年高二下学期开学考试数学试题
2 . 在四棱柱
中,底面
是正方形,且
,
.
![](https://img.xkw.com/dksih/QBM/2018/1/19/1863882000244736/1864514401091584/STEM/7729837860fe45bbb6e17bf43b76654b.png?resizew=198)
(1)求证:
;
(2)若动点
在棱
上,试确定点
的位置,使得直线
与平面
所成角的正弦值为
.
![](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/af728d9ddbc39a1b46ea2844c1264b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecbca919bff5a39a99dd7f867dd61f2.png)
![](https://img.xkw.com/dksih/QBM/2018/1/19/1863882000244736/1864514401091584/STEM/7729837860fe45bbb6e17bf43b76654b.png?resizew=198)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a382ccd078374f1efebb26a43599e596.png)
(2)若动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.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/ce12587a7129e4a6ba2837214c6c4cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190a6fdd4bb8d1b3bb239f188deb9d9b.png)
您最近一年使用:0次
2018-01-20更新
|
2390次组卷
|
3卷引用:河北衡水中学金卷2018届高三高考模拟一理科数学试题
名校
解题方法
3 . 如图,已知圆锥
和圆柱
的组合体(它们的底面重合),圆锥的底面圆
半径为
,
为圆锥的母线,
为圆柱
的母线,
为下底面圆
上的两点,且
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/28/c6d2f446-294e-4316-9546-e6560fcbdf62.png?resizew=170)
(1)求证:平面
平面
;
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8314bf44fd67afda08134a89cff2de72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a51949f48ee8cf746851ba779b078e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed7d50f7b3c88566bda5eff976ee626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031620a046f83f3b4c06ec1aa53567bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ee3e8e5fc6c302b8cdf69792d88e31.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/28/c6d2f446-294e-4316-9546-e6560fcbdf62.png?resizew=170)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820567942aa98b2feaaa017fcb7790df.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5680552dd489d32a4240ed185c4454d0.png)
您最近一年使用:0次
4 . 如图,菱形
的边长为
,
,
与
交于
点.将菱形
沿对角线
折起,得到三棱锥
,点
是棱
的中点,
.
(I)求证:平面
⊥平面
;
(II)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6906f59d09ce31956d6f5ea2b23fc77.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41ffdaecfb3c73d403179e5745c71a8.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/0845725214dc1d9580a027a8206b07fc.png)
(I)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1220cf7442bc7658dbd74a845a62dfce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(II)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c878e4572a232566c80d34dac90ecd6.png)
![](https://img.xkw.com/dksih/QBM/2017/4/23/1671929267765248/1684704242696192/STEM/106a14769ae7416293fdde09eca1150b.png?resizew=427)
您最近一年使用:0次
2017-05-11更新
|
2333次组卷
|
5卷引用:河北省衡水市武邑县2019-2020学年高三上学期12月月考数学(理)试题
河北省衡水市武邑县2019-2020学年高三上学期12月月考数学(理)试题2017届宁夏银川市高三下学期第二次模拟考试数学(理)试卷湖南省长沙市雅礼中学、河南省实验中学2018届高三联考数学理试题宁夏回族自治区银川市宁一中2019-2020学年高三12月月考数学(理)试题(已下线)2020届高三12月第02期(考点07)(理科)-《新题速递·数学》
5 . 如图所示,该几何体是由一个直三棱柱
和一个正四棱锥
组合而成,
,
.
![](https://img.xkw.com/dksih/QBM/2017/4/10/1662899279675392/1663445712797696/STEM/d6ef931e24d1499583611af4b017fdf2.png?resizew=251)
(Ⅰ)证明:平面
平面
;
(Ⅱ)求正四棱锥
的高
,使得二面角
的余弦值是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535770901287f244911b42412533d4a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a47dcb24ffe20e8153e0d113ff8bee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4934c4df6fd69381832ea14d144364cc.png)
![](https://img.xkw.com/dksih/QBM/2017/4/10/1662899279675392/1663445712797696/STEM/d6ef931e24d1499583611af4b017fdf2.png?resizew=251)
(Ⅰ)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369eb8ad56da7dc1cdb7c43762be4bee.png)
(Ⅱ)求正四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a487c0c6c507568d1b4dba0a895fae70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c14ff9b66f21c05e52dc3c8908c2df.png)
您最近一年使用:0次
2017-04-11更新
|
2111次组卷
|
13卷引用:河北省衡水中学2018届高三上学期八模考试数学(理)试题
河北省衡水中学2018届高三上学期八模考试数学(理)试题2016届吉林省东北师大附中高三三校联考理科数学试卷2017届湖南省长郡中学、衡阳八中等十三校重点中学高三第二次联考理科数学试卷吉林省松原市实验高级中学等三校2016届高三下学期联合模拟考试理数试题湖北省襄阳第四中学2018届高三8月月考数学试题2018届高三数学训练题(56):向量法求解立体几何问题人教A版(2019) 选择性必修第一册 必杀技 模块综合测试人教B版(2019) 选择性必修第一册 必杀技 模块综合测试江苏省南京市2020-2021学年高二上学期期中模拟数学试题安徽省滁州市定远县重点中学2020-2021学年高二上学期10月月考数学(理)试题安徽省滁州市定远县民族中学2020-2021学年高二上学期11月月考数学(理)试题江苏省南通市通州高级中学2020-2021学年高三上学期第五次阶段性测试数学试题陕西省西安市铁一中学2023-2024学年高二上学期期中数学试题
6 . 如图,
是边长为3的正方形,
,且
.
![](https://img.xkw.com/dksih/QBM/2016/9/20/1573032756609024/1573032763269120/STEM/dd7d67612add41c2a613f37735588468.png)
(1)试在线段
上确定一点
的位置,使得
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41f4326c0b507c43fc310e1c3b68739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1903c20537da5c437e4962f2543f01a.png)
![](https://img.xkw.com/dksih/QBM/2016/9/20/1573032756609024/1573032763269120/STEM/dd7d67612add41c2a613f37735588468.png)
(1)试在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8afd688fc5336cc0313ba4e2e887856.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1851016dd4f149327a9c493f0a0eb28.png)
您最近一年使用:0次
2016-12-04更新
|
788次组卷
|
3卷引用:2017届河北定州中学高三上学期周练一数学试卷
名校
7 . 如图所示,四棱锥
的底面是梯形,且
,
平面
,
是
中点,
.
![](https://img.xkw.com/dksih/QBM/2016/7/12/1572913435418624/1572913441038336/STEM/31381705-a1e7-4634-afe2-ce70a179c2b8.png?resizew=178)
(Ⅰ)求证:
平面
;
(Ⅱ)若
,
,求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](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/b41b89ccb8296f8195f84832995d52dd.png)
![](https://img.xkw.com/dksih/QBM/2016/7/12/1572913435418624/1572913441038336/STEM/31381705-a1e7-4634-afe2-ce70a179c2b8.png?resizew=178)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b190c8d3d7d7d0e6e959e8a52eae90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df003447e98fd5ba9badd42177f345db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
您最近一年使用:0次
2016-12-04更新
|
1396次组卷
|
5卷引用:河北省衡水中学2018届高三三轮复习系列七-出神入化5数学(理)试题
2014·湖南·二模
8 . 如图,在四棱锥
中,
平面
,
,且
,
,
,点
在
上.
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572452507246592/1572452513316864/STEM/0e878378d5bd4d9bbb7d9dc88caa3e2f.png?resizew=253)
(1)求证:
;
(2)若二面角
的大小为
,求
与平面
所成角的正弦值.
![](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/7d1750703a4d8ad6595e9ac955d27742.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2478a116f8ff83c8477094e97c4211cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d768ffd5bf75080e8ff5ce6b472c0cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/2016/1/20/1572452507246592/1572452513316864/STEM/0e878378d5bd4d9bbb7d9dc88caa3e2f.png?resizew=253)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafa8c14100a4f847b41b9148954116c.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698335f4880c7a298f4898c83b6562bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次
2016-12-03更新
|
2810次组卷
|
8卷引用:2016届河北省正定中学高三上第五次月考理科数学试卷
2016届河北省正定中学高三上第五次月考理科数学试卷(已下线)2014届湖南省高三十三校联考第二次考试理科数学试卷2015届湖南省长浏宁三一中高三5月模拟考试理科数学试卷2016届湖南省常德一中高三第十一次月考理科数学试卷【区级联考】云南省曲靖市陆良县2019届高三上学期第一次摸底考试数学(理)试题(已下线)2022年全国高考甲卷数学(理)试题变式题9-12题(已下线)2022年全国高考甲卷数学(理)试题变式题9-12题(已下线)2022年全国高考甲卷数学(理)试题变式题17-20题
9 . 如图,在四棱锥
中,底面
为平行四边形,
平面
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a36af2c211815e1009717cf434b3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f9919585ed5da21092657f37796d6e.png)
在棱
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/0d16635e-3daa-4e9e-b719-e5757862027b.png?resizew=172)
(I)当
时,求证
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e516d053caeaf33f745a504206660848.png)
(II)当二面角
的大小为
时,求直线
与平面
所成角的正弦值.
![](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/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a36af2c211815e1009717cf434b3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f9919585ed5da21092657f37796d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0beea9afd61e38e49eb3cd46b5eb9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/0d16635e-3daa-4e9e-b719-e5757862027b.png?resizew=172)
(I)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1d7359f9f2c88a873f815e36b3444e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb2e071d4e01107dcf7d95cbb86b415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e516d053caeaf33f745a504206660848.png)
(II)当二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133390f64e97ff96916626e9ca7b3dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
您最近一年使用:0次
2016-11-30更新
|
1364次组卷
|
5卷引用:2012-2013学年河北省正定中学高二第三次考试数学试卷
(已下线)2012-2013学年河北省正定中学高二第三次考试数学试卷河北省唐山市开滦二中2020-2021学年高二上学期期中数学试题(已下线)2010~2011学年浙江省杭州二中高三6月考前冲刺卷数学理(已下线)2012届陕西省五校高三第三次联考理科数学重庆市沙坪坝区第七中学校2019-2020学年高二上学期期中数学试题
2010·河北石家庄·一模
真题
10 . 如图,在三棱锥P-ABC中,
,
,点
分别是AC、PC的中点,
底面AB![](https://img.xkw.com/dksih/QBM/2010/5/29/1569750519676928/1569750524936192/STEM/e5c09bb939c84336a8d5a6e14dbe4635.png)
(1)求证:
平面
;
(2)当
时,求直线
与平面
所成的角的大小;
(3)当
取何值时,
在平面
内的射影恰好为
的重心?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af254745c1c19bd20e83344bee674ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61085b97b88eb1f5e5cf196f9d846053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe964aa3574061970c9c8066df21c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daebfdc254732902c90bc49005684214.png)
![](https://img.xkw.com/dksih/QBM/2010/5/29/1569750519676928/1569750524936192/STEM/e5c09bb939c84336a8d5a6e14dbe4635.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6748d9b9948485c5ba87ca8751c6e053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a2a34b4317deffa40ba34e269c2b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6843586b42b60fd0da03f516edfc12f7.png)
![](https://img.xkw.com/dksih/QBM/2010/5/29/1569750519676928/1569750524936192/STEM/9624c04870444bada33f99cd0f2e8224.png)
您最近一年使用:0次