1 . 已知函数
(
)在
上的图象有且仅有3个最高点.下面四个结论:
①
在
上的图象有且仅有3个最低点;
②
在
至多有7个零点;
③
在
单调递增;
④
的取值范围是
;
则正确的结论是______ .(填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8046aa421d61d05da2f197f61c79ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8ec0ccdb6db6fbaeb1172e281ec22f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8ec0ccdb6db6fbaeb1172e281ec22f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0145c944dd3216b95c2fe55aa2fb17f.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b53b5494acfb30338683d64d35357a.png)
则正确的结论是
您最近一年使用:0次
名校
解题方法
2 . 已知
是第二象限角,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff8e8f399db20c51e878b2b4b134793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
您最近一年使用:0次
3 . 已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,求
的极值;
(3)当
时,判断
零点个数,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96cd7410cd21fba9137e18c6573ec11e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e73a4faef10c2d2f3d626976c799545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
4 . 已知数列
, 数列
, 其中
, 且
,
. 记
的前
项和分别为
, 规定
.记
,且
,
, 且 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2eb6f7ab9b7df226e25144909bf4988.png)
(1)若
,
,写出
;
(2)若
,写出所有满足条件的数列
, 并说明理由;
(3)若
, 且
. 证明:
, 使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ede84ac3237446eb9857d13107c6af7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1f3b32082b32b0037239f83bd07b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0dc0ca1a65849909105414b4da653b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050226f8b132e50c700e4e227764b024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36d97b91e743859bd69450544fc8bec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a897bad9d2bf64e63f47085a91cdb8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd97eb7f00e8436abc39632f69d2d700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9443798361910c88bbc2a981af0877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda27f54d6242ece29e2ab463de27c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f665a91c6d06059dbf6be8acce1c57ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4510b21e648ac40bd1a6f8f9d2277eb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2eb6f7ab9b7df226e25144909bf4988.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65be4255bc6139efe073d58898ac515c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64bc6f4cd5c23c281807e091210dafcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7fd9b0c3c203a053a7ea52b71e7c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56c5766e8cdffbee475ab541549946e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb049069cbe1c252309f2f35c17fffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9da4d4cc472323b73956401767233b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5e87dee68dcc490f71705a93020db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971b0676bcb324b0b03f87351154cd10.png)
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5 . 设
,函数
,给出下列四个结论:
①当
时,
的最小值为
;
②存在
, 使得
只有一个零点;
③存在
, 使得
有三个不同零点;
④
,
在
上是单调递增函数.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e603e5c99909402be986487bdc205862.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20770d35d4edd6da84a446c037b366d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
解题方法
6 . 已知等差数列
的前
项和为
,若
,则
( )
![](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/cfb9956ca4291da5ba7324bda67f08ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
A.54 | B.63 |
C.72 | D.135 |
您最近一年使用:0次
2024-03-29更新
|
937次组卷
|
4卷引用:北京市门头沟区2023-2024学年高三下学期3月综合练习(一模)数学试卷
7 . 已知曲线
,
,给出下列四个命题:
①曲线
关于
轴、
轴和原点对称;
②当
时,曲线
,
共有四个交点;
③当
时,曲线
围成的区域内(含边界)两点之间的距离的最大值是3;
④当
时,曲线
围成的区域面积大于曲线
围成的区域面积.
其中所有真命题的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282c73aa06e789c79766977e9b278b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407bdf4be5d3319d0cd89c1863251928.png)
①曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3ff0b0fea1cb642d3f6be77a1ff32f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3ff0b0fea1cb642d3f6be77a1ff32f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6eaa137a2290a9a9ec7ad635d17dbb6.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6eaa137a2290a9a9ec7ad635d17dbb6.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9e329f2730b2be926b121f1ae04c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3ff0b0fea1cb642d3f6be77a1ff32f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6eaa137a2290a9a9ec7ad635d17dbb6.png)
其中所有真命题的序号是
您最近一年使用:0次
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解题方法
8 . 已知椭圆C:
(
)的一个焦点为
,一个顶点为
.
(1)求椭圆
的方程和离心率;
(2)已知直线
与椭圆
相切于点
,直线
交
轴于点
,
为坐标原点,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6402773afa7bb94c129317c16ef85f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0913f2ab13b39b1dae508b352a542d5.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9531f1b05a0b88af18596eedff7ced53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
您最近一年使用:0次
2024-01-17更新
|
269次组卷
|
2卷引用:北京市门头沟区大峪中学2023-2024学年高二下学期开学考试数学试题
9 . 如图,在四棱锥
中,底面
是正方形,
底面
为
的中点,
为
内一动点(不与
三点重合).给出下列四个结论:
与
所成角的大小为
;②
;③
的最小值为
;④若
,则点
的轨迹所围成图形的面积是
.
其中所有正确结论的序号是__________ .
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82119cdf2c6d23099171a823a7a2ac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acee03d4bb4667b6c345221b6c9b0fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ce410e23643e80c9d205f8e86a1ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b69099d2b74ffbb1f365e1468bd8fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd22cf7915d8ae1e5f85a83c6e89e15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9e953a4a5f98c96bbe67cbaadf76d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66bf51786193eb8dfe053bdb8ac006a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8ae071199874d9d74a4919a58902f7.png)
其中所有正确结论的序号是
您最近一年使用:0次
2023-07-16更新
|
538次组卷
|
7卷引用:北京市大峪中学2023-2024学年高二上学期开学考试数学试题
北京市大峪中学2023-2024学年高二上学期开学考试数学试题北京市昌平区2022-2023学年高一下学期期末质量抽测数学试题贵州省铜仁第一中学2023-2024学年高二上学期8月摸底衔接质量检测(三)数学试题(已下线)模块四 专题6 暑期结束综合检测6(能力卷)(人教B)(已下线)第11章 简单几何体(压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020必修第三册)(已下线)专题06 空间中点线面的位置关系6种常考题型归类(2) -期期末真题分类汇编(北京专用)【北京专用】专题15立体几何与空间向量(第四部分)-高一下学期名校期末好题汇编
名校
解题方法
10 . 在边长为2的正方体
中,点M是该正方体表面及其内部的一动点,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
平面
,则动点M的轨迹所形成区域的面积是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57132b0bd38c035fec010ee3be1bc8fe.png)
您最近一年使用:0次
2023-05-09更新
|
1528次组卷
|
12卷引用:北京市门头沟区2021届高三数学一模试题
北京市门头沟区2021届高三数学一模试题(已下线)【新东方】高中数学20210527-032【2021】【高一下】江西省南昌市进贤第一中学2020-2021学年高二下学期期中考试数学(理)试题浙江省杭州市八校联盟2020-2021学年高一下学期期中联考数学试题广东省珠海市斗门第一中学2021-2022学年高一下学期期中数学试题(已下线)专题06空间位置关系的判断与证明湖北省武汉市第六中学2022-2023学年高一下学期第六次月考数学试题宁夏贺兰县第一中学2022-2023年高一下学期数学期末复习试题(四)(已下线)第七章 立体几何与空间向量 第三节?第二课时直线,平面平行的判定与性质(A素养养成卷)(已下线)重难点突破04 立体几何中的轨迹问题(六大题型)山东省菏泽外国语学校2023-2024学年高一下学期第二次月考数学试题(已下线)核心考点5 立体几何中的位置关系 B提升卷 (高一期末考试必考的10大核心考点)