1 . 已知函数
随机变量
,随机变量
,
的期望为
.
(1)当
时,求
;
(2)当
时,求
的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea8d40282dec2acfe25253514e87f81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e73ee99d27c577561fde186de7b8f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33261c9b0b1c3677c6db52fa88813d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884fa804e9e4ed197c1cc76e762f6760.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea01973bb7a048a88d183cb5c5cf8e2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe08722cf9300fe188dbbb71989c06c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884fa804e9e4ed197c1cc76e762f6760.png)
您最近一年使用:0次
2024-06-16更新
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263次组卷
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4卷引用:内蒙古自治区锡林郭勒盟2024届高三下学期5月模拟考试理科数学试题
内蒙古自治区锡林郭勒盟2024届高三下学期5月模拟考试理科数学试题河南省部分重点高中2023-2024学年高三下学期5月联考数学试卷 (新高考)(已下线)辽宁省沈阳市第二中学2024届高三下学期三模数学试题(已下线)概率、随机变量及其分布-综合测试卷B卷
2 . 已知定义在上的函数
满足
,且
,则下列说法正确的是
①是奇函数 ②
③ ④
时,
您最近一年使用:0次
解题方法
3 . 已知函数
定义域为
,
,
,则下列命题正确的个数是( )
①若
,
,则函数
在
上是增函数
②若
,
,则函数
是奇函数
③若
,
,则函数
是周期函数
④若
,且
,
,则函数
在区间
上单调递增,函数
在区间
上单调递减
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c203d8dcd4f3470d5fdb7b92211e98c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739e90b9f86c4804e1f14fd74c0c0113.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976d91358362fa49d6da8021fd47e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffdbad374128480c4f9ea0ece86621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354e0fcc5ce9a3446aeef0eb9a1d3c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3293afe2c6518387d0b6b8234a0713d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848ac362f7f2aabc5ddda910fd30c731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3293afe2c6518387d0b6b8234a0713d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b885c72c3cf484dfea5046a13b098af1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7993770944efc057b1b536da183087de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a42f1bc4a3a1b478178f06d0d0c07acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d49400af8b2337858c3c4323004c29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e016113a40eef2ef0ac690be9da8f181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e95c519658815e47e6ace216a42d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e016113a40eef2ef0ac690be9da8f181.png)
A.3个 | B.2个 | C.1个 | D.0个 |
您最近一年使用:0次
名校
4 . 已知函数
,
.
(1)当
时,求
在
处的切线方程;
(2)若
,
,使得
,
①求
的单调区间;
②求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf87c80c4d518ee7c8eaa72e7b0f1e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75c3e6d9ade5b265f2cae523f6a00c4.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/9b384412acba251d87902ab928902f16.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e141c53bd594fc81d55f7591e8f6dd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed65729385efc89468b2b143b1b8d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-08更新
|
723次组卷
|
4卷引用:内蒙古赤峰市2024届高三上学期1.30模拟理科数学试题
内蒙古赤峰市2024届高三上学期1.30模拟理科数学试题(已下线)第8题 导数一般大题(高三二轮每日一题)(已下线)2024年高考数学全真模拟卷08(新题型地区专用)广东省茂名市高州中学2023-2024学年高二下学期3月滚动测试数学试题
名校
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b179446b1db69443461b2a0d0e0977.png)
(1)求
的单调区间及最值
(2)令
,若
在区间
上存在极值点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b179446b1db69443461b2a0d0e0977.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c204be088a8fc6c096eedd5b1e7dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921d7bfaf9e813a9e2982449175bdc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-07更新
|
436次组卷
|
2卷引用:内蒙古赤峰市2023~2024学年高三上学期1.30模拟文科数学试题
2023·江苏南通·模拟预测
名校
解题方法
6 . 已知函数
,其中a为实数.
(1)若
,求函数
在区间
上的最小值;
(2)若函数
在
上存在两个极值点
,
,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384295f05d99dedb5dcee82860226d63.png)
(1)若
![](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/5ed2f490aac02631c2ed9e6b76354a49.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88080215d30285bf416853dd8f5b1365.png)
您最近一年使用:0次
2023-05-21更新
|
993次组卷
|
5卷引用:内蒙古赤峰市林东第一中学2023届高三5月数学模拟考试题
内蒙古赤峰市林东第一中学2023届高三5月数学模拟考试题内蒙古赤峰市林东第一中学2023届高考数学模拟试题(已下线)江苏省南通市如皋市2023届高三下学期适应性测试(三)数学试题江西省宜春市樟树市清江中学2022-2023学年高二下学期5月期中考试数学试题江苏省淮安市楚州中学、新马中学2024届高三上学期期中联考数学试题
解题方法
7 . 如图所示,在长方体
中,点
是棱
上的一个动点,若平面
与棱
交于点
,给出下列命题:①四棱锥
的体积恒为定值;②直线
与直线
交于点
,直线
与直线
交于点
,则
、
、
三点共线;③当截面四边形
的周长取得最小值时,满足条件的点
至少有两个;④
为底面
对角线
和
的交点,在棱
上存在点
,使
平面
,其中真命题是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/26/519064ed-ae9c-46d2-8dbe-dbafecd6ad43.png?resizew=158)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a83c0b8db2205a6815811aa4ff5390f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b492d99c54c1d881aa0532d918c19389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc61d5de97b5a40be925b278ae494c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408871c2b71ef88d6f556ce53cf73cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6069dc466eec75bbeb3d5c9b51cb3a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3869b3d43cd1d050dac2baecc169f957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4cffe5e9a3c0f5d2e3ac65fa30587d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/26/519064ed-ae9c-46d2-8dbe-dbafecd6ad43.png?resizew=158)
A.①②③ | B.②③④ | C.①②④ | D.①③④ |
您最近一年使用:0次
2023-04-25更新
|
828次组卷
|
4卷引用:内蒙古赤峰市2023学年高三二模数学理科试题
内蒙古赤峰市2023学年高三二模数学理科试题(已下线)专题12立体几何(选填)(已下线)第一章 点线面位置关系 专题四 共线问题 微点2 立体几何共线问题的解法综合训练【基础版】四川省成都市金苹果锦城第一中学2024届高三上学期期中数学(理)试题
8 . 已知抛物线
,焦点为
,过点
作抛物线
的两条切线,切点分别是
,
,已知线段
的中点
,则
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf92a1ba410263d4f68b7e0432b19aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cf40b5e61775e2088abef2ec2c1d22.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/d362b9bbf7c1390b003ea3c40493d1d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89490c3078ec513da6e960f01ead99b7.png)
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2023-04-25更新
|
417次组卷
|
3卷引用:内蒙古赤峰市2023学年高三二模数学理科试题
名校
解题方法
9 . 2021年3月30日,小米正式开始启用具备“超椭圆”数学之美的新logo(如图所示),设计师的灵感来源于曲线
:
.当
,
,
时,下列关于曲线的判断正确的有________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/d3e3351b-8e26-40ac-931d-7febe13d2f56.png?resizew=76)
①曲线
关于
轴和
轴对称
②曲线
所围成的封闭图形的面积小于8
③曲线
上的点到原点
的距离的最大值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cddc85500758b4b6d16df0d2c115a061.png)
④设
,直线
交曲线
于
、
两点,则
的周长小于8
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babbba8b1f50b390aaa110032b2a8ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/d3e3351b-8e26-40ac-931d-7febe13d2f56.png?resizew=76)
①曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
③曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cddc85500758b4b6d16df0d2c115a061.png)
④设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892077030df22daf504ba9c0409ce384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c93215f460bffca5bdae786eb42144b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99675fa03da205c4499967c9d908412.png)
您最近一年使用:0次
2023-04-24更新
|
862次组卷
|
5卷引用:内蒙古呼和浩特市2023届高三二模数学(理)试题
内蒙古呼和浩特市2023届高三二模数学(理)试题(已下线)专题14解析几何(选填)上海奉贤区致远高级中学2022-2023学年高二下学期第二次月考(5月)数学试题(已下线)3.1.1 椭圆及其标准方程(重难点突破)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)河南省安阳市第一中学2023-2024学年高二上学期第二次阶段考试数学试题
2023·内蒙古包头·一模
名校
解题方法
10 . 已知和
分别是函数
(
且
)的极小值点和极大值点.若
,则
的最小值的取值范围是
您最近一年使用:0次