1 . 已知数列
的前
项和
满足:
.
(1)求证:数列
是等比数列,并求数列
的通项公式;
(2)求数列
的前
项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/4eb6457669c73995424232d9ef67983b.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d17d72d1d20d385920c3d9da6bed8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
2 . 如图,在四棱锥
中,底面ABCD是矩形,
平面ABCD,M,N分别是PA,PB的中点,求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/2f39ff76-6743-4366-8326-8aee8785ed51.png?resizew=163)
(1)
平面ABCD;
(2)
平面PAD.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/2f39ff76-6743-4366-8326-8aee8785ed51.png?resizew=163)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
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2023-12-14更新
|
3531次组卷
|
6卷引用:2021年湖南省高中学业水平考试合格性考试仿真模拟数学试题
2021年湖南省高中学业水平考试合格性考试仿真模拟数学试题湖南省邵阳市邵阳县2020-2021学年高一下学期期末数学试题广东省2022年普通高中学业水平考试数学模拟试题二新疆乌鲁木齐市第三十一中学2019-2020学年高一下学期期末考试数学试题(已下线)6.5.1直线与平面垂直-【帮课堂】(北师大版2019必修第二册)(已下线)专题19 直线与平面的位置关系-《重难点题型·高分突破》(苏教版2019必修第二册)
解题方法
3 . 如图,长方体
中,底面
是正方形.
(1)求证:
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/6/afddf74a-0f43-4dbd-baaf-14fc9fd21c8b.png?resizew=213)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498c3a1b2dea65bd13d3906597b36a28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf9628142422a4884bd59538da6d312.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117e9353aec012c49b7517c563bee36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
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2023-07-27更新
|
747次组卷
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2卷引用:2021年6月天津市普通高中学业水平合格性考试数学试题
解题方法
4 . 已知函数
,
.
(1)当
,求a;
(2)当
在
上单调递增,问a的取值范围;
(3)设
为
和
中的较小者,证明
在
上的最大值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ede4a660ea4ec1bac8834a388f54a69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27fd67d7f50b6d6d6f8cf4cc58b3e55b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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5 . 已知向量
,
.
(1)求
、
的坐标;
(2)求
、
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae69461f5e923fbc79eed241d4969f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0089c21d7657124a06defbb89b537e89.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69552ea735e33d4af543f1c8b43db1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efe36b7c93fbd8dc63d5d1be81b8250.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6fbff85947f4df50ae1b17e967a158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
您最近一年使用:0次
2023-07-27更新
|
655次组卷
|
2卷引用:2021年6月天津市普通高中学业水平合格性考试数学试题
6 . 已知
,
.
(1)求
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88fd7361500cc27a71d40a0a7d835a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcbe8b4bcd32e5a64ebfd873f8cbb2b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7e5571fc99aa43bf12e728a8a7014e.png)
您最近一年使用:0次
名校
7 . 已知圆
:
.
(1)求圆
的圆心坐标及半径;
(2)设直线
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b6e4a25a8896f90bc3c249954bd3d4.png)
①求证:直线
与圆
恒相交;
②若直线
与圆
交于
,
两点,弦
的中点为
,求点
的轨迹方程,并说明它是什么曲线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f46bd6985253f993dc2d1c12b801dc2.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b6e4a25a8896f90bc3c249954bd3d4.png)
①求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2023-05-30更新
|
450次组卷
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11卷引用:福建省2020-2021学年高二6月普通高中学业水平合格性考试数学试题
福建省2020-2021学年高二6月普通高中学业水平合格性考试数学试题(已下线)第2章 圆与方程综合测试-【暑假自学课】2022年新高二数学暑假精品课(苏教版2019选择性必修第一册)(已下线)第2章 圆与方程(A卷·知识通关练)(1)云南省大理州鹤庆县第三中学2022-2023学年高二上学期11月月考数学复习题试题河南省南阳市镇平县第一高级中学2022-2023学年高二下学期5月月考数学试题(已下线)专题2.9 直线与圆的方程大题专项训练(30道)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)第11讲 第二章 直线和圆的方程 章末总结(3)(已下线)第1课时 课后 圆的标准方程(已下线)第08讲 圆的方程(3大考点九种解题方法)(2)(已下线)第2章 圆与方程章末题型归纳总结(1)湖南省长沙市长郡湘府中学2022-2023学年高二上学期第一次阶段练习数学试题
8 . (1)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b980a6a0f8fd5a957034a5291207bbe7.png)
(2)若关于
的方程
没有实数根,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b980a6a0f8fd5a957034a5291207bbe7.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa18a8752b6023da8fdf4a418f249ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
9 . 关于
的方程
有两个不相等的实数根,以这两个根作为等腰
的底边长和腰长,这样的等腰三角形有且仅有一个.
(1)求
的取值范围;
(2)当
取最大值时,求该等腰三角形外接圆半径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cba0c6d78a4f35cb9924d259531372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
10 . 在
中,
是
中点,
是射线
上的一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/21/81a83048-546d-475e-8ec7-7ac6de245317.png?resizew=369)
(1)如图1,连接
并延长交
于点
,求
的值;
(2)如图2,
交
于点
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/21/81a83048-546d-475e-8ec7-7ac6de245317.png?resizew=369)
(1)如图1,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00e7e28f754e518812e746b9be245da.png)
(2)如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa73b8b8f7a9ed8d505b81eb7b3f521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856ddcafb0a8610ed9a95eff0f41e6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d4d78dce0cf121e288749e58b1924d.png)
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