名校
解题方法
1 . 已知函数
,若
的值域是
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8318b083baff984168582578c07d2edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499a8449e8bb253065463c23f3ff5860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-25更新
|
564次组卷
|
3卷引用:江西省吉安市第一中学2024届高三下学期期中考试数学试题
2 . 在
中,“
是正三角形”是“A,B,C成等差数列且
,
,
成等比数列”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32e2f2d7147cf1699fbfdef9cf4af74.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
3 . 已知T是
上的动点(A点是圆心),定点
,线段TB的中垂线交直线TA于点P.
(1)求P点轨迹
的方程;
(2)已知直线
的方程
,过点B的直线(不与
轴重合)与曲线
相交于M,N两点,过点M作
,垂足为 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e7170bb4a2ddcef39391a06c989162.png)
①求证:直线ND过定点
,并求出定点
的坐标;
②点
为坐标原点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df85fc4021b64f29b42c4b47419cfca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b47e7bf02b3ca16f7d96b9369e51a3.png)
(1)求P点轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41b099305c768388cfae01e18efcab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e7170bb4a2ddcef39391a06c989162.png)
①求证:直线ND过定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805cbc88d32a8b72bbfe9cf3e41dee77.png)
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名校
解题方法
4 . 设
为单位向量,
,当
的夹角为
时,
在
上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c984376f5475184e0d3e4f7e1bb65f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276b43a2950ed71f0f9629a35dfa74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8926cd05c69335e56021799d81ce6728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cbb1eec186a57915e5aced5edce78c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c984376f5475184e0d3e4f7e1bb65f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
5 . 若互不相等的正数
满足,则
成等比数列( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23134d0865490319d4f28e9acd118911.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 如图是一个弓形(由弦
与劣弧
围成)展台的截面图,
是弧
上一点,测得
,
,
,则该展台的截面面积是______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56fc43a10c8583224aabffc2ca351dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e81e7aa0d4a8fb4cbf6a17dabcc326e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27e47690ed332c573186992b6d25654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
您最近一年使用:0次
解题方法
7 . 如图,已知双曲线
:
(
,
)的右焦点为
,点
是双曲线
的渐近线上的一点,点
是双曲线
左支上的一点.若四边形
是一个平行四边形,且
,则双曲线
的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a59d3ce9c6d9bfdecb912e2ae6acaf3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50911ffe6be250ebf22e7b2e432a8645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.2 | C.![]() | D.3 |
您最近一年使用:0次
2024·全国·模拟预测
8 . 已知
为坐标原点,抛物线
上一点
到其准线的距离为3,过
的焦点
的直线交
于
两点,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7251452d9c6c09b409f734cc48f4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.过点![]() ![]() |
B.当![]() ![]() |
C.![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 某运动队为评估短跑运动员在接力赛中的作用,对运动员进行数据分析.运动员甲在接力赛中跑第一棒、第二棒、第三棒、第四棒四个位置,统计以往多场比赛,其出场率与出场时比赛获胜率如下表所示.
(1)当甲出场比赛时,求该运动队获胜的概率.
(2)当甲出场比赛时,求该运动队在四场比赛中(每场比赛相互独立)至少获胜2场的概率.
(3)如果你是教练员,将如何安排运动员甲比赛时的位置?并说明理由.
比赛位置 | 第一棒 | 第二棒 | 第三棒 | 第四棒 |
出场率 | 0.3 | 0.1 | 0.2 | 0.3 |
比赛胜率 | 0.6 | 0.7 | 0.7 | 0.7 |
(2)当甲出场比赛时,求该运动队在四场比赛中(每场比赛相互独立)至少获胜2场的概率.
(3)如果你是教练员,将如何安排运动员甲比赛时的位置?并说明理由.
您最近一年使用:0次
2024-04-29更新
|
616次组卷
|
2卷引用:江西省吉安市第一中学2024届高三下学期期中考试数学试题
名校
10 . 用模型
拟合一组数据组
,其中
.设
,变换后的线性回归方程为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6a2e55ddf521fb517390fd2d116b49.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dd7bfa66cda5972dde24f1e8f5c590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bd72150989caeacfd3f574b01e0fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edff4e7b97e32206b88627b393d4f1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed5624f57085b5eca36219eae9831bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39832b4bd79db3da8b43f1e197eafc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6a2e55ddf521fb517390fd2d116b49.png)
您最近一年使用:0次
2024-04-29更新
|
1036次组卷
|
3卷引用:江西省吉安市第一中学2024届高三下学期期中考试数学试题