1 . 已知圆
,直线
(
且
不同时为0),下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e709b79de786feca3b94c69ae8f38223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ac745cbcbd71c1b5ca79101866427d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7569cd7e9b31ad838230133b9bc8314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
A.当直线![]() ![]() ![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.过点![]() ![]() ![]() |
您最近一年使用:0次
2023-12-11更新
|
674次组卷
|
4卷引用:江西省景德镇市景德镇一中2023-2024学年高二上学期1月考试数学试题
名校
解题方法
2 . 设点
是直线
上的一个动点,
为坐标原点,过点
作
轴的垂线
.过点
作直线
的垂线交直线
于
.
(1)求点
的轨迹
的方程;
(2)过曲线
上的一点
(异于原点
)作曲线
的切线
交椭圆
于
,
两点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过曲线
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8430908541117b6223c428c2b95302f.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/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
2023-12-11更新
|
520次组卷
|
3卷引用:江西省景德镇市景德镇一中2024届高三上学期1月考试数学试题
3 . 某沙漠地区每年有2个月属于雨季,10个月属于旱季.经过初步治理该沙漠地区某年旱季的月降水量(单位:
)依次达到12.1,12.0,10.4,10.5,12.5,14.1,14.3,14.3,16.7,18.1.记这组数据的第40百分位数与平均数分别为
.
(1)求
;
(2)已知雨季的月降水量均大于旱季的月降水量,该沙漠地区人工种植了甲、乙两种植物,当月降水量低于
时甲种植物需要浇水,当月降水量低于
时乙种植物需要浇水,求这一年的某月甲、乙两种植物都需要浇水的概率及二者中有植物需要浇水的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f3bf70722b22983c120d008d097602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b135923434563ee3ed5bf4c0ecc246.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b135923434563ee3ed5bf4c0ecc246.png)
(2)已知雨季的月降水量均大于旱季的月降水量,该沙漠地区人工种植了甲、乙两种植物,当月降水量低于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93c57593a2049be38a52e64a03e5e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1684c50ca439179777b50a541149bd15.png)
您最近一年使用:0次
2023-11-26更新
|
323次组卷
|
3卷引用:江西省景德镇市景德镇一中2024届高三上学期1月考试数学试题
名校
4 . 已知圆
与两坐标轴相切,圆心在第一象限.
(1)若圆
也与两坐标轴相切,且两圆都过点
,求两圆的圆心距
;
(2)设点
在直线
上运动,点D为圆
上一点,且
.
①求圆
的方程:
②过点P作圆
的两条切线PA,PB,设切线PA与PB斜率分别为
,
,且
时,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(1)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547ca949ea6f238f4e58dde990e0dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574741613676f7cb4fea4d913ba112cc.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbec8b46231e412ddce55cc96634e182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e78ef7ef7cc0ade96f56b4c19bdd3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c7e4777174b4901acabde6639cfd5f.png)
①求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
②过点P作圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae3ab048431fdc75f9a2eef2a762f37.png)
您最近一年使用:0次
5 . 已知向量
,
,以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed98b448838aece15a0be7ce8ed42d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aceeb82a28fd8fc6eb07aa0324eabb36.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
解题方法
6 . 人们把蜂房誉为自然界最奇异的建筑,蜂房是由许许多多的正六棱柱组成,一个挨着一个,紧密地排列,没有一点空隙.人们一直疑问,蜜蜂为什么不让其巢室呈三角形、正方形或其他形状呢?虽然蜂窝是一个三维体建筑,但每一个蜂巢都是六面柱体,而蜂蜡墙的总面积仅与蜂巢的截面有关.由此引出一个数学问题,即寻找面积最大、周长最小的平面图形.1943年,匈牙利数学家陶斯(Laszlo Fejes Toth)证明了,在所有首尾相连的正多边形中,正六边形的周长是最小的.1999年,黑尔斯证明了周边是曲线时,无论曲线是向外凸还是向内凹,由正六边形组成的图形周长都是最小的.如图是一个边长为2的正六边形ABCDEF,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105ec23be7d6a51641b0d2c4aace9bee.png)
A.4 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . (1)如图,
是半圆O的直径,点C在
上,且
,
.过点O作
的垂线,交
于点F,连接
.请你判断
与
的大小关系,并与基本不等式进行比较;
(2)已知
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3d296e0d7154a170cb7d3ae42989b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bcccda6e75578c160552bcb1d7f160b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735056c174e8dd7906257a2a50a962a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735056c174e8dd7906257a2a50a962a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecff6005f926665a926c07ad62e0f032.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/11/32c45b8a-92da-4ca1-bbe9-0bbe638a5523.png?resizew=198)
(2)已知
![](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/a28774e2f83c5ec0ff5cc18e9fdc82ae.png)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
8 . 已知定义域为
的函数
的图象是连续不断的曲线,对任意实数m,n均满足
,且当
时,
.若
,则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c25a4493d15d8a815cae7bbea8fc28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c220cb932bf8936987f5254d2263e87.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 在平行四边形
中,点
为边
中点,点
为边
上靠近点
的三等分点,连接
,
交于点
,连接
,点
为
上靠近点
的三等分点,记
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184359fe3cadc363cf4ebe586c2b3db4.png)
A.点![]() ![]() ![]() |
B.若![]() ![]() |
C.![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
2023-07-21更新
|
951次组卷
|
6卷引用:江西省景德镇一中2022-2023学年高一下学期期末考试数学试题
江西省景德镇一中2022-2023学年高一下学期期末考试数学试题(已下线)第二节 平面向量基本定理及坐标表示 A素养养成卷(已下线)第一次月考选择题压轴题十四大题型专练-举一反三系列(已下线)专题05 平面向量基本定理-《重难点题型·高分突破》(苏教版2019必修第二册)(已下线)高一下学期期末复习选择题压轴题二十三大题型专练(1)-举一反三系列(人教A版2019必修第二册)(已下线)专题01 平面向量-《期末真题分类汇编》(人教A版2019必修第二册)
10 . 已知复数
,其在复平面内对应点
,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab9f62e41db0bab198f2d2430d86652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.复数![]() ![]() |
B.在复平面内将点![]() ![]() ![]() ![]() ![]() ![]() |
C.在复平面内将点![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次