名校
解题方法
1 . 如图,已知
是圆
的直径,
平面
,
是
的中点,
.
平面
;
(2)求证:平面
平面
.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afe4a56c1bd9fbe4850410e4133bd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c372d059202ec388960b125d4a87dc84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b1e86a4f4bd9250b5b0a752b838779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
解题方法
2 . 已知函数
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e593828316139a54019e352dec883f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801fbbc7dc155ff52ce94de60e44ce85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e593828316139a54019e352dec883f.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c57efb6bcba2df49eab9b170fed36484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571818aa4e492dad7b93992ea3ad920a.png)
您最近一年使用:0次
3 . 已知函数
,
.
(1)证明:
.
(2)设方程
有两个实根
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c0dc2a7d473b322fed4e2a48770394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3667e0dff78601b93c935881ba85542b.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44e312eca38032174f9739126b81d012.png)
(2)设方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2aabc96b7433bba077ceac76d8f0d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e6c90e91a4e6316e1a111719c16e8e.png)
您最近一年使用:0次
名校
4 . 已知函数
.
(1)求曲线
在点
处的切线方程;
(2)设
,求证:当
时,
;
(3)对任意的
,判断
与
的大小关系,并证明结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38e2cfb9e16f2f5d7a1e9a7590dd073.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585de67a3fc494297d375d339af6d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b79ae1ceee652b06fc889607ff3f1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa38ca27c6c0c40d5e36b2ae4fb7ba7.png)
(3)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c975a637794e6be6dd95e1e1ba12620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa9fca7538f46d9d2b4429dd085ac78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
您最近一年使用:0次
2023-06-18更新
|
428次组卷
|
2卷引用:陕西省咸阳市实验中学2024届高三下学期适应训练(一)数学(理)试题
解题方法
5 . 如图1,已知正方形
的边长为
,
,
分别为
,
的中点,将正方形
沿
折成如图2所示连结
,且
,点
在线段
上(包含端点)运动,连接
.
![](https://img.xkw.com/dksih/QBM/2022/5/14/2979121362894848/2980612692860928/STEM/b022c895-be02-462b-8691-fb608bd85486.png?resizew=396)
(1)若
为
的中点,直线
与平面
的交点为
,试确定点
的位置,并证明直线
平面
;
(2)点
为
的中点,求证
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff635d2c15b5b477ee33d7d2bfe4408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/2022/5/14/2979121362894848/2980612692860928/STEM/b022c895-be02-462b-8691-fb608bd85486.png?resizew=396)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6072ec6dfc0203cabb1fe289a5ddc8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558ce69401f3c97930f00ba0e2aa6647.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ade1ccd464353eb8ceeb312339dc14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369eb8ad56da7dc1cdb7c43762be4bee.png)
您最近一年使用:0次
名校
解题方法
6 . 已知数列
中,
,其前
项的和为
,且满足
(
).
(1)求证:数列
是等差数列;
(2)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.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/a3b39498579d2e0678bd204d9e4afc6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad83668ff336589f82a2cd04db9f9947.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35fb3cd13fb42176132a19326959c82.png)
您最近一年使用:0次
2020-10-03更新
|
826次组卷
|
13卷引用:2016届陕西省西安市一中高三下学期第一次模拟文科数学试卷
2016届陕西省西安市一中高三下学期第一次模拟文科数学试卷2015届吉林省长春市普通高中高三质量监测三理科数学试卷2015届湖北省襄阳市五中高三5月模拟考试一文科数学试卷河南省六市2018届高三第一次联考(一模)数学(理)试题【全国百强校】宁夏回族自治区银川一中2018届高三第三次模拟考试数学(理)试题【全国百强校】四川省南充高级中学2018届高三考前模拟考试数学(理科)试题2015-2016学年吉林省扶余市一中高二上学期期末考试理科数学试卷2016-2017学年辽宁庄河高中高二10月考文数试卷2018年高考数学(文科)二轮复习 精练:大题-每日一题规范练-第二周(已下线)专题32 数列大题解题模板-2021年高考一轮数学(文)单元复习一遍过(已下线)专题32 数列大题解题模板-2021年高考一轮数学单元复习一遍过(新高考地区专用)2023版 苏教版(2019) 选修第一册 名师精选卷 第十单元 等差数列 B卷湖南师范大学附属中学2022-2023学年高三上学期月考(六)数学试题
名校
7 . (1)设函数
,证明:
;
(2)若实数
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c89aa6efb3462d15737b33fd18f905e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2608a57caffde627dbf140ca22a2ff8a.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/708a59609457ad6c3981aa22543bcc89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98660deced19afff1a713c79a7e84fc.png)
您最近一年使用:0次
2018-05-17更新
|
435次组卷
|
9卷引用:2015届陕西省宝鸡市九校高三联合检测理科数学试卷
2015届陕西省宝鸡市九校高三联合检测理科数学试卷2015届陕西省宝鸡市九校高三联合检测文科数学试卷2016届福建厦门外国语学校高三5月适应性数学(文)试卷2016届湖北襄阳四中高三六月全真模拟一数学(文)试卷2020届宁夏六盘山高级中学高三下学期第二次模拟考试数学(理)试题2016届河北省武邑中学高三下3.20周考文科数学试卷(已下线)2018年5月13日 每周一测——《每日一题》2017-2018学年高二文科数学人教选修4-5【全国百强校】湖南省长沙市湖南师范大学附属中学2019届高三上学期月考(五)数学(文)试题(已下线)2019年4月28日 《每日一题》文数选修4-5-每周一测
名校
8 . (1)证明:当
时,
;
(2)若不等式
对任意的正实数
恒成立,求正实数
的取值范围;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7e5b12719915c134ab756cb09f75c1.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a264a7259b8956b59ef9ef37c9af8855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a0805acb0016f9851d5d1a49e2b553.png)
您最近一年使用:0次
2017-05-22更新
|
507次组卷
|
3卷引用:陕西省西安交通大学附属中学雁塔校区2022-2023学年高三下学期高考模拟数学试题
11-12高三上·山东济宁·单元测试
名校
解题方法
9 . 如图,
是边长为4的正方形,
平面
,
,
.
(1)求证:
平面
;
(2)设点
是线段
上一个动点,试确定点
的位置,使得
平面
,并
证明你的结论.
![](https://img.xkw.com/dksih/QBM/2011/12/1/1570553879707648/1570553884844032/STEM/613be89289f5414195881fc0ec9186cd.png?resizew=48)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b059af31eed9d4ec27f9aad55ae41df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015a9b4497e91d358be5fc194ac9461f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](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/ae0d2ea2af3f0ab189c4694eeb52ce43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
证明你的结论.
您最近一年使用:0次
真题
10 . 如图,在直三棱柱
中,平面
侧面A1ABB1.
(Ⅰ)求证:
;
(Ⅱ)若直线AC与平面A1BC所成的角为θ,二面角A1-BC-A的大小为φ,试判断θ与φ的大小关系,并予以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21dee56b9f36ba8f76fe67b76383636b.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
(Ⅱ)若直线AC与平面A1BC所成的角为θ,二面角A1-BC-A的大小为φ,试判断θ与φ的大小关系,并予以证明.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/b28f4071-53aa-4014-995c-ca4e7f2d90af.png?resizew=151)
您最近一年使用:0次
2016-11-30更新
|
1711次组卷
|
6卷引用:2019届陕西省西安交大附中高三下学期第二次模拟考试数学(理)试题
2019届陕西省西安交大附中高三下学期第二次模拟考试数学(理)试题(已下线)2012届丹东市四校协作体高三摸底测试数学(零诊) (理)2008年普通高等学校招生全国统一考试理科数学(湖北卷)(已下线)2011-2012学年河北省正定中学高二第一学期期末考试文科数学试卷广东省广州市2023届高三上学期8月阶段测试数学试题2008 年普通高等学校招生考试数学(理)试题(湖北卷)