1 . 在
中,若
,
,
,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71807a35b3170fce28ee6edf4c00d083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54a36173cd9b7b28e91619d715cb569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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2024-04-24更新
|
465次组卷
|
6卷引用:【北京专用】高二下学期期末模拟测试A卷
(已下线)【北京专用】高二下学期期末模拟测试A卷(已下线)专题03 解三角形问题总结-《期末真题分类汇编》(江苏专用)江苏省常州市教育学会2023-2024学年高一下学期4月学业水平监测数学试题江苏高一专题04解三角形(第一部分)(已下线)模块五 专题6 全真拔高模拟2(苏教版期中研习高一)(已下线)必考考点3 解三角形与实际应用 专题讲解 (期末考试必考的10大核心考点)
名校
解题方法
2 . 将平面直角坐标系中的一列点
记为
.设
,其中
为与
轴方向相同的单位向量,若对任意的正整数
,都有
,则称
为
点列.
(1)判断
是否为
点列,并说明理由;
(2)若
为
点列,且
.任取其中连续三点
,证明
为钝角三角形;
(3)若
为
点列,对于正整数
,比较
与
的大小,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/464ce8acfb3e25e4e96b70b2a4da3ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621604766ddd141c86e37da5e71aef26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/622a4c88b39fa3d66f44cdacb0b1788f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2980a18e4d0a2a795b7983a1a1866db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e4525be9d715134956094f1f7c9b4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621604766ddd141c86e37da5e71aef26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3dda9bc78ee05030be17ceccbcfab3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621604766ddd141c86e37da5e71aef26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a443e3315a7fb6489b01fad7e3215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10cce5a900e897b3c9bd7fff78a90022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bb323b330f9af1c3b30ad20d3fbc4c5.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621604766ddd141c86e37da5e71aef26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a3d6f45e09539242033b717d891ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aaf329c01986874440a30a0fd7b1d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18eb9f4ba92ab0c1132bdeba722aae0.png)
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名校
3 . 随机事件A发生的概率为
,随机事件B发生的概率为
,则事件A,B同时发生的概率的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7294f5ae2a24ff42e84cd9773b2a7287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-14更新
|
1077次组卷
|
6卷引用:【北京专用】高一下学期期末模拟测试B卷
(已下线)【北京专用】高一下学期期末模拟测试B卷(已下线)专题04 高一下期末考前必刷卷02(提高卷)-期末考点大串讲(人教A版2019必修第二册)湖北省汉阳县部分学校2024届高三下学期模拟考试数学试题(已下线)专题01 随机事件与概率(题型专练)-《知识解读·题型专练》(人教A版2019必修第二册)河南省信阳高级中学2024届高三5月测试(一)二模数学试题(已下线)【高一模块一】难度8 小题强化限时晋级练(较难2)
2024·全国·模拟预测
4 . 若直线
上仅存在一点
,使得过点
的直线与圆
切于点
,且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd6e4185a3de5a361c4a87c62a770a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50878e35cc3c632655e64a99fef5e9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.3 | D.![]() |
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5 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f47635f7958a97a037d9a5c1b07d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 下列函数中,既是偶函数又在区间
上单调递增的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 2023年6月22日,由中国帮助印尼修建的雅万高铁测试成功,高铁实现时速
自动驾驶,不仅速度比普通列车快,而且车内噪声更小.如果用声强
(单位:
)表示声音在传播途径中每平方米上的声能流密度,声强级
(单位:
)与声强
的函数关系式为
,其中
为基准声强级,
为常数,当声强
时,声强级
.下表为不同列车声源在距离
处的声强级:
设在离内燃列车、电力列车、高速列车
处测得的实际声强分别为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd054da0ad34c8ba01fe54179ba0a7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db72d10094c3d5cf2cb4eaa4809a1f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca586d4c35ce52dec4b545cf13ee0721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7980ec6e0e432b23fbe3f4562848913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/164932c352061abf01e7e3513b08229d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f0a1908e167c64684b0a50aee5ec64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e3a88ef910aa647ac022c3880262f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c08094f72d5bd69246c453dd28e33d1.png)
声源 | 与声源的距离(单位:![]() | 声强级范围 |
内燃列车 | 20 | ![]() |
电力列车 | 20 | ![]() |
高速列车 | 20 | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c08094f72d5bd69246c453dd28e33d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146e570dfac0a06f1547a444808701d9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 函数
中,
,
为实数集
的两个非空子集,又规定
,
,给出下列四个判断:
①函数
有奇偶性;
②函数
为周期函数;
③存在无数条直线,与函数
的图象无公共点;
④若
,则
;
⑤若
,则
.
其中正确判断的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74209d2b6dad45e9817c078ffd06c339.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/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d784704477ad413c1a7fe3ac36e9e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e783e8b80e6b6e5d00e923759d07a429.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③存在无数条直线,与函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5eb03e97d9498bff9c3dfac271dad01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16b75d6c240d02859c0a47fddfd7b11.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdbea5a694329be836e2667a1a2abfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aab6cf836c29c7c8696cb1aee73fd0d.png)
其中正确判断的个数为( )
A.1个 | B.2个 | C.3个 | D.4个 |
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名校
解题方法
9 . 设函数
已知
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a430425e383f6de01453211a09db938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951836ef5e4cfd3689a94810e0f8d43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67afd34495f2c2c3fe2deec14e1b4b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c21734265a5c61ed1d4d8c00b0464e.png)
A.1 | B.0 | C.2 | D.![]() |
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名校
10 . 如图,在平面直角坐标系
中,点
,
,角
的顶点与坐标原点
重合,始边为
轴的非负半轴,终边与单位圆
交于点
,则阴影区域的面积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8950c7bc835103d52ceffab14b6b31a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c3a0ff28cf69a2999d7af54d0792269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/fcf79273-d183-44d9-9a97-720ec5bacbde.png?resizew=181)
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