1 . 已知数列
的首项为
,且满足
.
(1)求证:数列
为等比数列;
(2)设
,记数列
的前
项和为
,求
,并证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6545b8eca1c4223ed701a199a85683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7643e8b7aa32ebf299048417a94432dc.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213e22890204937a5dded4436369390f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00bfec58504040151e3e2101be245a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc246ff0647b587fc858b643b33fadd0.png)
您最近一年使用:0次
2022-03-25更新
|
733次组卷
|
5卷引用:重庆市江北区字水中学2023-2024学年高二上学期第四次月考数学试题
重庆市江北区字水中学2023-2024学年高二上学期第四次月考数学试题重庆市主城区六校2021-2022学年高二上学期期末联考数学试题黑龙江省鹤岗市第一中学2021-2022学年高二下学期第一次月考数学试题(已下线)高二数学下学期期末精选50题(提升版)-2021-2022学年高二数学考试满分全攻略(人教A版2019选修第二册+第三册)(已下线)4.3.2等比数列的前n项和公式(第1课时)(分层作业)(3种题型)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第二册)
13-14高三·全国·课后作业
名校
解题方法
2 . 如图所示,四边形ABCD是边长为3的正方形,
平面ABCD,
,
,BE与平面ABCD所成角为60°.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/8f5b1f87-0212-4f87-942f-5de747eb65b6.png?resizew=187)
(1)求证:
平面BDE;
(2)求二面角
的余弦值;
(3)设点M是线段BD上的一个动点,试确定点M的位置,使得
平面BEF,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8139d9fd5c670c91aa7dc485366dd1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5624c7941eb3cca11d8efbe76d9af5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/8f5b1f87-0212-4f87-942f-5de747eb65b6.png?resizew=187)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f717b7d4d0978eec7330afec554c078.png)
(3)设点M是线段BD上的一个动点,试确定点M的位置,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f33fa5152ba27f7b8a28890cefca219.png)
您最近一年使用:0次
2021-11-11更新
|
1834次组卷
|
27卷引用:重庆十八中两江实验中学2020-2021学年高二上学期12月月考数学试题
重庆十八中两江实验中学2020-2021学年高二上学期12月月考数学试题(已下线)2015高考数学(理)一轮配套特训:7-7立体几何中的向量方法北京东城171中2016-2017学年高二上期中数学(理)试题北京市朝阳区第80中学2017届高三上12月月考数学试题辽宁省丹东市2017-2018学年高二数学理科上学期期末考试试题河北省衡水市阜城中学2017-2018学年高二上学期第五次月考数学(理)试题北京市朝阳区80中学2017届高三上学期12月月考数学(理)试题【全国百强校】2018年天津市南开中学高三模拟考试数学(理)2018-2019人教A版高中数学选修2-1第三章 空间向量与立体几何 章末评估验收(三)【全国百强校】天津市南开中学2018-2019学年高三(下)第四次月考数学试题(理科)(2月份)(已下线)第01章+章末复习课(重点练)-2020-2021学年高二数学十分钟同步课堂专练(人教A版选择性必修第一册)山东省滕州市第一中学2020-2021学年高二9月开学收心考试数学试题人教B版(2019) 选择性必修第一册 过关斩将 第一章 空间向量与立体几何 本章复习提升(已下线)3.5 章末复习课(重点练)-2020-2021学年高二数学(理)十分钟同步课堂专练(人教A版选修2-1)福建省南平市浦城县2021届高三上学期期中测试数学试题云南省大理下关第一中学教育集团2021-2022学年高二上学期段考数学试卷(一)试题(已下线)考点52 空间向量在立体几何中的运用-备战2022年高考数学一轮复习考点帮(新高考地区专用)【学科网名师堂】北京市海淀区北京理工大学附属中学2020-2021学年高二上学期期中考试数学试题北京市西城区北京师范大学第二附属中学2022届高三上学期期中数学试题河北省邢台市第一中学2021-2022学年高二上学期第三次月考数学试题(已下线)考点31 直线、平面平行与垂直的判定与性质-备战2022年高考数学典型试题解读与变式(已下线)重难点03 空间向量与立体几何-2022年高考数学【热点·重点·难点】专练(新高考专用)江苏省苏州第十中学2022届高三下学期3月阶段检测数学试题(已下线)一轮巩固卷02-【赢在高考·黄金20卷】备战2022年高考数学模拟卷(新高考专用)(已下线)2022年高考考前20天终极冲刺攻略(三)【理科数学】 (5月27日)宁夏育才中学2022-2023学年高二下学期开学考试理科数学试题北京市第一七一中学2023-2024学年高二上学期期中调研数学试题
12-13高三上·重庆江北·期中
名校
3 . 设数列
的前
项和为
,满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741e264ca6b880bc633ff491e8e8bec6.png)
,且
,
,
成等差数列.
(1)求
,
的值;
(2)
是等比数列
(3)证明:对一切正整数
,有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28024f526ecf57042dd734ae1741e83c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741e264ca6b880bc633ff491e8e8bec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52866a74e4af867ceea0efb1ad06602c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d5791e7e0bd54d6433c1a4e1fecb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe61d313eeca8ba47478a9de40540db8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ae409648e7f81df297de60d7a756fb.png)
(3)证明:对一切正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545895a8043bbb2c1264bc0d04e1345f.png)
您最近一年使用:0次
名校
解题方法
4 . 如图,在四棱锥
中,底面
为平行四边形,
,
,
,
,
,
为棱
的中点.
条件①:
;
条件②:平面
平面
.
从条件①和条件②这两个条件中选择一个作为已知,完成下列问题:
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
;
(2)若点
在线段
上,且点
到平面
的距离为
,求线段
的长.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](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/c016262f7c32817de8cb270fc9244f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8825d400f453c5c17a7beeb1cc9a9cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37002ada5d194d4d062fa3285d7d9824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b235d0737ddc0d2c85abd4484c10d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/6ccd201a-fd54-4139-9008-58798420d9c2.png?resizew=148)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
条件②:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
从条件①和条件②这两个条件中选择一个作为已知,完成下列问题:
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf581b4f42a25087f7eee23a7d66b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
您最近一年使用:0次
2023-11-03更新
|
249次组卷
|
2卷引用:重庆市字水中学2023-2024学年高二上学期期中数学试题
5 . 在①
,②
,③
,这三个条件中选择一个,补充在下面问题中,并给出解答.
如图,在五面体
中,已知__________,
,
,且
,
.
(1)求证:平面
平面
;
(2)求直线
与平面
夹角的正弦值;
(3)线段
上是否存在一点F,使得平面
与平面
夹角的余弦值等于
,若存在,求
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57cb0d726cc25a350dc792b539ff2f2.png)
如图,在五面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc22c901160e072ae13a66f62c489f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05426a41ec7b22c0445bfe78d786c8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7422660f0635be92e11838af5f4b4b5e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/21/726f0ef8-3e61-4346-8439-8a8969a45bd6.png?resizew=170)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
(3)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293a2e244834864e78e93d8c13be6905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72acf5ee54c89dede4358c61ecd7a101.png)
您最近一年使用:0次
名校
6 . 已知
,
.证明:
(1)函数
在
上单调递减,且存在唯一
,使得
;
(2)存在唯一
,使得
,且对(1)中的
有:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4be4f274c0271ded3218c4e5ee9ab02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51c14a31a4a82eec67af0655d4f53e5.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e88cf1590641c7a45d48dfcccad70e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31de823707b320300ad59ccc5a5ce83a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36825543013336c9df727bc51ff62c6.png)
(2)存在唯一
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1b7d2c73f162cedda9e10d2d5b5d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4b5d688ceb6f0b9f8b1b3efb04d57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceb5ad6805809d09da5effdb596d9ef.png)
您最近一年使用:0次
名校
7 . 如图,矩形ABCD中,
,E为BC的中点,现将
与
折起,使得平面BAE及平面DCE都与平面ADE垂直.
(1)求证:
平面ADE;
(2)求钝二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585288e61871608f6ff8f7e4a0beafbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad09a769a75b107390b9eeccc929f761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0acc93490a6a784eb62201d93dd93d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/24/a9071304-b2d2-4657-b44d-05006e042109.png?resizew=341)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f8b463fcecf0a757f386db56e074d9.png)
(2)求钝二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a351d71fa01d3f5920e374a8ee7b524.png)
您最近一年使用:0次
2023-09-22更新
|
514次组卷
|
3卷引用:重庆市第十八中学2023-2024学年高二上学期期末模拟数学试题(A卷)
重庆市第十八中学2023-2024学年高二上学期期末模拟数学试题(A卷)辽宁省丹东市凤城市第一中学2023-2024学年高二上学期9月月考数学试题(已下线)高二数学开学摸底考02(新高考地区)-2023-2024学年高中下学期开学摸底考试卷
名校
8 . 在长方体
中,
,
,
与
交于点
,点
为
中点.
(1)求证:
平面
;
(2)求平面
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4639a9dc0bc99101cbde59fef04b4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.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://img.xkw.com/dksih/QBM/editorImg/2023/9/3/f83f8f91-93e4-49f9-b328-fcd0b219fe6d.png?resizew=190)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9a248d1d22e1c29cfbce96b32e2206.png)
您最近一年使用:0次
2023-09-02更新
|
1331次组卷
|
9卷引用:重庆市字水中学2023-2024学年高二上学期10月月考数学试题
重庆市字水中学2023-2024学年高二上学期10月月考数学试题山东省青岛市2024届高三上学期期初调研检测数学试题新疆维吾尔自治区巴音郭楞蒙古自治州且末县第一中学2024届高三上学期开学考试数学试题宁夏石嘴山市第三中学2023-2024学年高二上学期9月月考数学试题新疆阿克苏市第三高级中学2023-2024学年高二上学期第一次月考数学试题广东省东莞市众美中学2024届高三上学期10月检测数学试题宁夏回族自治区固原市彭阳县第一中学2023-2024学年高二上学期期中考试数学试题广东省江门市新会第一中学2023-2024学年高二上学期期中考试数学试题广东省江门市某校2023-2024学年高二上学期期中考试数学试题
名校
9 . 如图,在四棱锥
中,
为正三角形,底面
为直角梯形,
,
,
,
为
中点,
为线段
上的点,且
.
(1)求证:平面
平面
;
(2)已知
.求直线
和平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](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/90ff6d7dd48b57f03d82d2c522ee9b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf2760931f4ed8f9fe0c87925c6b09c.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1364213f546b37f8764ddcb59e36ae4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/4/3162f238-166e-4273-af43-0fd1e1d4637e.png?resizew=177)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781c31ca288515564a25897978bdc43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
您最近一年使用:0次
2023-07-03更新
|
816次组卷
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2卷引用:重庆市第十八中学2022-2023学年高一下学期期末数学试题
名校
10 . 如图直线
与
的边
分别相交于点D,E.设
,
,
,
.
(1)若
,F为
的外心,求
的值,
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dc62e10004e73908091338362917da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c884a45b56bc34d79273b067c1520b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e781a2489271bfd1597cba1bb6f5887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd37b64af6bbdbf18adf222b8a5865ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad21f3682a4949e36a2c18fac6a5807.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/29/24059aa2-c71f-4263-a3a6-02c2dabc3979.png?resizew=152)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825b4d8a30df3008671b9eae1af54a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/101392085fd7522233441af6eda74aed.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5b98ffb5258ca17bc6705972c97113.png)
您最近一年使用:0次