名校
解题方法
1 . 设等差数列
的前
项和为
,则有以下四个结论:
①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ca47be5a21ea60ebd04dd8945852d8.png)
②若
,且
,则
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef1f2c439ad1043f4b0e8892066826.png)
③若
,且在前16项中,偶数项的和与奇数项的和之比为3:1,则公差为2
④若
,且
,则
和
均是
的最大值
其中正确命题的序号为___________ .
![](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)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd67cf18bd35149475d35f1c603ad59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ca47be5a21ea60ebd04dd8945852d8.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45c65fa15317b33766389407c427668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a443e3315a7fb6489b01fad7e3215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3c579e5e0540f190994cbb5b0653a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef1f2c439ad1043f4b0e8892066826.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8bdb404dcbe74cd8bbd30de782a8fa.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8933c07e3651731291184c080766c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41c4154f019120be078200f2dff6f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
其中正确命题的序号为
您最近一年使用:0次
2023-11-26更新
|
509次组卷
|
5卷引用:宁夏银川市唐徕中学2023-2024学年高三上学期期中考试数学(理)试题
宁夏银川市唐徕中学2023-2024学年高三上学期期中考试数学(理)试题北京朝阳区六校联考2024届高三12月阶段性诊断数学试题北京第五中学2023-2024学年高三下学期开学检测数学试卷(已下线)2024年高考数学二轮复习测试卷(北京专用)(已下线)4.2.2 等差数列的前n项和公式——课后作业(提升版)
2 . 设
是函数
的导函数,若对于任意的实数x,都有
,给出下列命题:①
是定义域上的增函数;②
;③
的最小值为
;④函数
恰有1个零点.其中正确命题的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceec72ad249f0ef8750d12a473148688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e2c1b94d085032398ba2a3473c52edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2356758a542b0808ef040354354228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec887a5238c1ec5e48fad4076282b75.png)
您最近一年使用:0次
2024·全国·模拟预测
解题方法
3 . 在四棱锥
中,底面
为正方形,平面
都与平面
垂直,
,点
分别为
的中点,且
是线段
上一点(包含端点),给出下列结论:①四边形
为等腰梯形;②不存在点
,使得
平面
;③存在点
,使得
;④
的最小值为
.其中所有正确结论的序号为______ .
![](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/a05792860611772f0525f4acc6b06212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5019d74a9497f861a0f755ea31d010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7fd9b0c3c203a053a7ea52b71e7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4762d59261265112fef9ac74d5bb9a36.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/7f27e1f707fdd30a58d8a019e6a1440c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497b94185aad68ee732a4435b0189c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea3cebae1762106ecd2a4fd56d07763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b757706eee506a078fc25e3f33a70cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae7c0b22a09146fe87955159f70454b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c29c3bfdae2d4fbe8a8deaa572a2e6.png)
您最近一年使用:0次
名校
解题方法
4 . 设向量
,
,当
,且
时,则记作
;当
,且
时,则记作
,有下面四个结论:
①若
,
,则
;
②若
且
,则
;
③若
,则对于任意向量
,都有
;
④若
,则对于任意向量
,都有
;
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ec6dba44a83ae69146c26a2eec325c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66717aa3e7a771427c1d4433c77a5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7104776ff89344dbad71ae372b2c6a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988c92311bffdfb634de896a2b2fd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421a7d6f54bf58a7a4f4ce61e06aefa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3e9895c7436c5ea1c3ac47c596c45e.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bd070c2627a2520b0d9047a9835efd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520a520903a0179b3b7ca22c8c08d934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3e9895c7436c5ea1c3ac47c596c45e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988c92311bffdfb634de896a2b2fd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada29fde8bcb4d04ddc6f1d9108cd5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c004c7cf818feb967b88abca38cf27e9.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0988c92311bffdfb634de896a2b2fd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a55755bb17062042b33d96016491ff.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3e9895c7436c5ea1c3ac47c596c45e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dfbdbb27c06740921709722585131fe.png)
其中所有正确结论的序号为( )
A.①②③ | B.②③④ | C.①③ | D.①④ |
您最近一年使用:0次
2024-03-27更新
|
205次组卷
|
4卷引用:河南省商丘市青桐鸣2023-2024学年高一下学期3月月考数学试题
河南省商丘市青桐鸣2023-2024学年高一下学期3月月考数学试题(已下线)专题03 向量的数量积-期末考点大串讲(人教B版2019必修第三册)(已下线)【讲】 专题四 与平面向量有关的新定义问题(压轴大全)吉林省白山市抚松县第一中学2023-2024学年高一下学期5月期中考试数学试题
2024高三下·全国·专题练习
5 . 关于曲线
有以下五个结论:
①当
时,曲线C表示圆心为
,半径为
的圆;
②当
,
时,过点
向曲线C作切线,切点为A,B,则直线AB的方程为
;
③当
,
时,过点
向曲线C作切线,则切线方程为
;
④当
时,曲线C表示圆心在直线
上的圆系,且这些圆的公切线方程为
或
;
⑤当
,
时,直线
与曲线C表示的圆相离.
以上正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983416abb2a19329feee784025961f1a.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/484121f8076509e579f91dd919e4632a.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4681073487d89441a8db549f4187dda8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e729c58c343ef3cebb8bd720278c26ed.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d694b4de9f0bef15f2917a4ed214e01c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a812a9b58ccba331cfd21d244329af01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9891da64b7a4a2f83f2af4d4c313246e.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e8c8fd6d9c4ed8cf35504db1918b4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a10732055a4228ab2b1a0f1bb16b67.png)
⑤当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c1578a4b2d61c2b65532f5dcb25003.png)
以上正确结论的序号为
您最近一年使用:0次
名校
解题方法
6 . 已知无穷项数列
满足:
为有理数,给出下列四个结论:
①若
,则数列
单调递增;
②数列
可能为等比数列;
③若存在
,则对于任意
,总有
.
④若存在
,对于任意
,总有
,则
.
其中全部正确结论的序号为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757fa2565058d406171e2c04c81339df.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5faf050789ad292c3c48a72f02fef7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
②数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
③若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2144bed075a6332e1c20c7ca81d6ae97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae264151cc27e873d26a7ca105029a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdac33fe562fcb3e15e76be7571d35e.png)
④若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ec09a5b5fd94c1dd994a759907ef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08febc4860b458ef9de6c0d7854dd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bd42f8e3f220a7b1c6f6945e73bc10.png)
其中全部正确结论的序号为
您最近一年使用:0次
2023-09-04更新
|
445次组卷
|
6卷引用:北京市清华大学附属中学2024届高三上学期开学考试数学试题
北京市清华大学附属中学2024届高三上学期开学考试数学试题北京市清华附中2024届高三开学摸底考数学试题北京市广渠门中学2024届高三上学期10月考数学试题(已下线)2023-2024学年高二上学期数学期末预测基础卷(人教A版2019)北京市第八十中学2023-2024学年高三上学期10月月考数学试卷(已下线)4.3 数列-数列的概念(十二大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
名校
解题方法
7 . 已知函数
给出下列四个结论:
①若
有最小值,则
的取值范围是
;
②当
时,若
无实根,则
的取值范围是
;
③当
时,不等式
的解集为
;
④当
时,若存在
,满足
,则
.
其中,所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff4e0cfa86f6d91ff0b3cdb3251393b.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6cc71d0c988d725b25c55c2672919c.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976d18a5396ba232f0aa38d136f1d749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1606791e5eeefbf298210543e01dd4.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5bcfb3bafe8373dd907e0e55d08f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168fef6477a494abceae56fb6c2e4c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339de01d9636343c484391b421c31301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ec808ad60dbf016632ec816eaca1df.png)
其中,所有正确结论的序号为
您最近一年使用:0次
2023-11-02更新
|
838次组卷
|
5卷引用:北京市第一零一中学2024届高三上学期10月月考数学试题
解题方法
8 . 已知函数
是偶函数,对任意
均有
,则下列正确结论的序号为( )
①
;②
是奇函数;③直线
是
图像的一条对称轴;④记
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d002f6523eb2b55e6c70b2b939c5caad.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a61de40c2ca48ebd5ccf6cbc9be053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224d30ca84f1aeeeda7a718e751a4925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80ff303049425be87fc2ef0f309e8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18414e37f8007ed9aad25845e223949.png)
A.①②④ | B.①③④ | C.①④ | D.②③ |
您最近一年使用:0次
解题方法
9 . 如图1,四棱锥
是一个水平放置的装有一定量水的密闭容器(容器材料厚度不计),底面
为平行四边形,现将容器以棱
为轴向左侧倾斜到图2的位置,这时水面恰好经过
,其中
、
分别为棱
、
的中点,在倾斜过程中,给出以下四个结论:
②有水的部分始终呈棱柱形;
③棱
始终与水面所在平面平行;
④水的体积与四棱锥
体积之比为
.
其中所有正确结论的序号为________ .
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
②有水的部分始终呈棱柱形;
③棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
④水的体积与四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d41a8f74c12963f45e6ed35ca0cd7e5.png)
其中所有正确结论的序号为
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6卷引用:北京市朝阳区2022-2023学年高一下学期期末质量检测数学试题
北京市朝阳区2022-2023学年高一下学期期末质量检测数学试题(已下线)模块二 专题4 立体几何中的平行与垂直的位置关系 能力卷B(已下线)模块二 专题4 立体几何中的平行与垂直的位置关系 基础卷A(已下线)模块二 专题7 立体几何中的平行与垂直的位置关系 基础卷A(已下线)模块二 专题7 立体几何中的平行与垂直的位置关系 能力卷B【北京专用】专题13立体几何与空间向量(第二部分)-高一下学期名校期末好题汇编
10 . 圆锥曲线C的弦AB与过弦的端点A,B的两条切线的交点P所围成的三角形PAB叫做阿基米德三角形,若曲线C的方程为
,弦AB过C的焦点F,设
,
,
,则有
,
,对于C的阿基米德三角形PAB给出下列结论:①点P在直线
上;②
;③
;④
,其中所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c45b5bbd5fb7706c6f7c24df34fc145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e393f5e77659df4bc874f0009c717c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c25a40d4669c43aff783e59de769b6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39978841bdbe3d4d968557f8048f223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2781fb4bd9c996d2aba684886e1634e2.png)
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5卷引用:江西省金溪县第一中学2023届高三一轮复习验收考试数学(理)试题