名校
1 .
是
内一点,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2239bd932c3e449b8179fbfa9a426478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932979fbd93c8f58f804a448d4a4983c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:2024届广东省江门市新会华侨中学等校高考二模数学试题
名校
解题方法
2 . 已知
是公差为2的等差数列,数列
的前
项和为
,且
.
(1)求
的通项公式;
(2)求
;
(3)[x]表示不超过
的最大整数,当
时,
是定值,求正整数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf00fb77189850ff6e81b0e6c2fa676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/1be121af66c0d2ac5bfe33cfc04b262c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)[x]表示不超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fef5f2a4235817fb704d29e08766e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c168958554401756b604b62bc37f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3卷引用:2024届广东省江门市新会华侨中学等校高考二模数学试题
2024届广东省江门市新会华侨中学等校高考二模数学试题河北省南宫市私立丰翼中学2023-2024学年高二下学期第三次月考(5月)数学试卷(已下线)专题07 数列通项与数列求和常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
名校
3 . 刻画空间的弯曲性是几何研究的重要内容,用曲率刻画空间的弯曲性,规定:多面体顶点的曲率等于
与多面体在该点的面角之和的差,其中多面体的面的内角叫做多面体的面角,角度用弧度制.例如:正方体每个顶点均有3个面角,每个面角均为
,故其各个顶点的曲率均为
.如图,在直三棱柱
中,
,点
的曲率为
分别为
的中点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62837b40813c7cd7959f4e77eeca8a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4c9668ea27ff0d5323dbf8c65ddcd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df332962ba616c7ef45a0523d410c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53477a5d40457f154d8afe0bcec4a549.png)
A.直线![]() ![]() |
B.在三棱柱![]() ![]() ![]() |
C.在四面体![]() ![]() ![]() |
D.二面角![]() ![]() |
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5卷引用:2024届广东省江门市新会华侨中学等校高考二模数学试题
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解题方法
4 . 已知
为方程
的根,
为方程
的根,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb0bd07a0eec6d37efe8f2e310b5420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06143cdf12d19aa34f0a1e60feeb787.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-13更新
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3卷引用:2024届广东省江门市新会华侨中学等校高考二模数学试题
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解题方法
5 . 如图,开车从
站到
站有3条路线.甲、乙、丙路线分别为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4853b4705dee3de86e18a346ee3ae853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8669a6aa7e782932422fe26986ff3dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ff324f42e4c0ebdc73afa6f3627a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9f4c4eb1dea2c12f31858ba9527c91.png)
.开车从
站到
站需要3分钟,从
站到
站需要2分钟,从
站到
站需要2分钟,从
站到
站需要,2.5分钟,从
站到
站需要
分钟,从
站到
站需要
分钟,从
站到
站需要
分钟,从
站到
站需要
分钟,受路上的红绿灯影响,
都是随机变量,且分布列如下
.
(1)若选择甲路线,开车从
站到
站的总时间为
分钟,求
的分布列;
(2)小张从这3条路线中选择1条,他在每站选择前进的方向时,都会等可能地选择其中一个方向,在他开车经过
站的前提下,若他开车从
站到
站的总时间少于5分钟的概率为0.4,求
的值;
(3)以各条路线开车需要的总时间的期望为依据,若三条路线中只有丙路线最快捷,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4853b4705dee3de86e18a346ee3ae853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8669a6aa7e782932422fe26986ff3dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ff324f42e4c0ebdc73afa6f3627a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9f4c4eb1dea2c12f31858ba9527c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35deedd73b1aa36be696a3674b87c0bc.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db31d2bbc9b044646fd026f239e7b62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0244fcb28c5a8fc66c4ba114162ee635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/295fbfd4857081c1b7299a2247dae2f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a15534d805bcf37d4b8187def1cecd1.png)
2 | 2.5 | |
0.4 | 0.6 | |
1.5 | 2.5 | |
0.5 | 0.5 | |
2 | 3 | |
m | ||
2 | 3 | |
0.5 | 0.5 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(2)小张从这3条路线中选择1条,他在每站选择前进的方向时,都会等可能地选择其中一个方向,在他开车经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)以各条路线开车需要的总时间的期望为依据,若三条路线中只有丙路线最快捷,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-06-12更新
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2卷引用:2024届广东省江门市新会华侨中学等校高考二模数学试题
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6 . 设函数
.
(1)求曲线
在点
处的切线方程;
(2)求
在
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9105a669bf206ed48ecae57fac46cd83.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8dc29afaa48c860fe7fbee5b5c6197.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b743ba0b998860bb9586d8c983e45baf.png)
您最近一年使用:0次
2024-06-11更新
|
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4卷引用:2024届广东省江门市新会华侨中学等校高考二模数学试题
名校
解题方法
7 . 设
是由满足下列条件的函数
构成的集合:①方程
有实根;②
在定义域区间
上可导,且
满足
.
(1)判断
,
是否是集合
中的元素,并说明理由;
(2)设函数
为集合
中的任意一个元素,证明:对其定义域区间
中的任意
、
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd689fbacfbe6c1bd0953521bbf3638b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8f3ed0020216a8fa9049e5e6962f51.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ac66170eaf3901361af2d1a6426ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572bd49cfabec7b34ec9f511e9e9c845.png)
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3卷引用:广东省江门市新会第一中学2024届高三下学期高考热身考试数学试题
解题方法
8 . 已知函数
(其中
)的部分图象如图所示,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d637bbb584a66938886b928f9a9a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d252071bbdbbf62e3f06044131a729c.png)
A.![]() |
B.函数![]() ![]() |
C.要想得到![]() ![]() ![]() |
D.函数![]() ![]() ![]() |
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9 . 数据6.0,7.4,8.0,8.4,8.6,8.7,9.0,9.1的50百分位数为_________
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10 . 已知各项均为正数的等比数列
中,若
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbfd6b761451716ba3d7130c93497ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd7557ed98b156930bb88f27649ed9e.png)
A.3 | B.4 | C.8 | D.9 |
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