1 . 对于没有重复数据的样本
、
、…、
,记这m个数的第k百分位数为
.若
不在这组数据中,且在区间
中的数据有且只有5个,则m的所有可能值组成的集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110f64c0aa40f7455a016edd0dbb8ea1.png)
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2 . 已知
,且
,若
,且
,则正整数
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da32adb27f0b1165ff54ae424d3e8b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6941c343e7d71a66146dc40bf148c9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e46773d78620bb2abe768647839649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7dcdc12243229c38d59daec142c4d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
3 . 假设视网膜为一个平面,光在空气中不折射,眼球的成像原理为小孔成像. 思考如下成像原理: 如图,地面内有圆
,其圆心在线段
上,且与线段
交于不与
重合的点
,
地面,且
,
点为人眼所在处,视网膜平面与直线
垂直. 过
点作平面
平行于视网膜平面. 科学家已经证明,这种情况下圆
上任意一点到
点的直线与平面
交点的轨迹(令为曲线
)为椭圆或圆,且由于小孔成像,曲线
与圆
在视网膜平面上的影像是相似的,则当视网膜平面上的圆
的影像为圆时,圆
的半径
为____________ . 当圆
的半径
满足
时,视网膜平面上的圆
的影像的离心率的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137d33c8575602cb3480ba3825dece9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7442b64b37f685bc3ae88ff450c1a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e92e4810c9461c39fae1acde95e489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
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2024-05-09更新
|
102次组卷
|
2卷引用:广东省广州市广东实验中学2024届高三教学情况测试(一)数学B卷
解题方法
4 . 如图,有一张较大的矩形纸片
分别为AB,CD的中点,点
在
上,
.将矩形按图示方式折叠,使直线AB(被折起的部分)经过P点,记AB上与
点重合的点为
,折痕为
.过点
再折一条与BC平行的折痕
,并与折痕
交于点
,按上述方法多次折叠,
点的轨迹形成曲线
.曲线
在
点处的切线与AB交于点
,则
的面积的最小值为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcab46b9032d25a660af389a6a37210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d71ba52c97faad3a085b9989969145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d36626c9e45a25e8dc5bf4be4dbbfb3.png)
您最近一年使用:0次
2024-04-29更新
|
711次组卷
|
3卷引用:江西省南昌市2024届高三第二次模拟测试数学试题
名校
5 . 如图,在
中,已知
,其内切圆与AC边相切于点D,且
,延长BA到E,使
,连接CE,设以E,C为焦点且经过点A的椭圆的离心率为
,以E,C为焦点且经过点A的双曲线的离心率为
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fffa3d9c32da53b0ea0c338012ea20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1ac3ab8d3ce5e61fd2f89761f80976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120f812ad42739155a1337e7d5a7bcf7.png)
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2024-04-10更新
|
1593次组卷
|
5卷引用:山东省实验中学2024届高三下学期第一次模拟考试数学试题
山东省实验中学2024届高三下学期第一次模拟考试数学试题湖北省黄冈市浠水县第一中学2024届高三下学期第三次高考模拟数学试题(已下线)第10题 共焦点的椭圆离心率问题(压轴小题)(已下线)压轴题02圆锥曲线压轴题17题型汇总-1(已下线)平面解析几何-综合测试卷B卷
6 . 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
7 . 已知函数
,若
,
,且
在区间
上没有零点,则
的一个取值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0be242ebd0a16f073e90a4ad07cd33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95726814c1f815ec684787334c89c717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5aebe20397ea9441d0fcebfda55922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d1f6c9ee34575e68747a98c75d4c266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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解题方法
8 . 如图所示,已知椭圆
的左右焦点分别为
,点
在
上,点
在
轴上,
,则
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b0dadb875cccce870b69409a476606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea68f65429501ec4986bef9cce8dff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ade9ff1a02f622b86b36ffadfbfaae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/d4d339ca-022c-40ed-a36d-740d028ccdd3.png?resizew=170)
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2024-03-27更新
|
797次组卷
|
3卷引用:陕西省西安市第一中学2024届高三第十次模拟考试数学(文)试题
解题方法
9 . 将四个半径为
的小球放入一个大球中,则这个大球半径的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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解题方法
10 . 已知函数
,
,若关于
的不等式
有解,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986630c53bcaee7b11c586dece21e67a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9220c911dbb8e9af11d72cc875750dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abcf83a6ef9607cd1428f12e074a3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-03-07更新
|
1669次组卷
|
9卷引用:浙江省Z20名校联盟(名校新高考研究联盟)2024届高三第二次联考数学试题
浙江省Z20名校联盟(名校新高考研究联盟)2024届高三第二次联考数学试题广东省东莞市石竹实验学校2023-2024学年高二下学期3月月考数学试卷(已下线)高二下学期期中复习填空题压轴题十五大题型专练-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第三册)广东省惠州市实验中学2023-2024学年高二下学期3月月考数学试题(已下线)模块五 专题4 全真能力模拟4广东省深圳市翠园中学2023-2024学年高二下学期第一次段考数学试卷广东省广州市培英中学2023-2024学年高二下学期期中数学试题四川省泸州高级中学校2024届高三下学期第二次月考理科数学试题山东省济宁市名校联考2023-2024学年高二下学期期中测试数学试题