2024高三·全国·专题练习
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1 . 已知向量
,
,
,
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0150d9c357f2f8f8deecacd3ef0545cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcad49be70d78e1e475d77c9d64d617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41910605980fe3f71b60a50e15e97023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fdf6f4e96b231e2802b5d6059451534.png)
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2024-06-03更新
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576次组卷
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5卷引用:安徽省马鞍山市第二中学2023-2024学年高二上学期开学检测数学试题
安徽省马鞍山市第二中学2023-2024学年高二上学期开学检测数学试题(已下线)专题10 平面向量(理科)-2(已下线)专题9 平面向量(文科)-1陕西省商洛市柞水中学2024届高考仿真模拟考试数学(理科)试题陕西省柞水中学2024届高考仿真模拟考试数学(文科)试题
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2 . 随着国家“双碳”(碳达峰与碳中和的简称)目标的提出,我国风电发展驶入快车道,陆地、海上的风机(如下左图,顶端外形是大风车,又称风力发电大风车)纷纷“拔地而起”,成为保护环境、输送绿色能源的“风中使者”.如图,一学习兴趣小组为了测量某风力发电大风车AB的高度,在点A正东方点C处测得风车顶端点B的仰角为30°,在点A南偏西30°方向的点D处测得点B的仰角为60°,且C,D相距
米,其中
平面ADC,则AB的高度为_____________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592e2979547fd09fcfef93b24fa4f46f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/6/7778ebd3-625c-4fb5-aff9-4732a17b0073.png?resizew=405)
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2023-09-13更新
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418次组卷
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3卷引用:安徽省皖江名校2023-2024学年高二上学期开学联考数学试题
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3 . 若
的定义域为
,对于
,都有
,且满足
,
,则称
为康托尔函数.当
时,康托尔函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
_____________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13608d4e0ea7dc70bf4a5c56af030a38.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd460cd48d5bb73990cbfc99d44a3f0.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac477594e609f621d5064581aebfde0f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13608d4e0ea7dc70bf4a5c56af030a38.png)
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4 . 如图,直线
与直线
在
轴上相交于点
.直线
与y轴交于点A.一动点C从点A出发,先沿平行于x轴的方向运动,到达直线
上的点
处后,改为垂直于x轴的方向运动,到达直线
上的点
处后,再沿平行于x轴的方向运动,到达直线
上的点
处后,又改为垂直于x轴的方向运动,到达直线
上的点
处后,仍沿平行于x轴的方向运动,一照此规律运动,动点依次经过点
,
,
,
,
,
,…,则当动点C到达
处时,点
的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb51096f4d54ad3cc2aa72a26151904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214891009bbb880eb8a2eb62a381dd29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ed71c47ebe16a3348ec4de9d37bfa8.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/3/0a40982e-db08-4fb0-8418-2fbf371e1db9.png?resizew=231)
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5 . 盒中有若干个白球和12个黑球,摇匀后从中随机摸出一个球记下颜色,再把它放回盒中,不断重复,共摸球200次,其中40次摸到黑球,估计盒中大约有白球______ 个.
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6 . 如图,在
中,
,
、
分别平分
、
,M、N、Q分别在
、
、
的延长线上,
、
分别平分
、
,
、
分别平分
、
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127eef97aeb02eb6610a149fdb9bf9ad.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852460ad317a315b565b7364347656fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1154d5c9d90666022c90d9cdd719e994.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/3/41b24365-a8af-4f0b-8913-4a9e785e731c.png?resizew=178)
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7 . 为了更好地了解早高峰车辆情况,某地交管部门在9个路口统计1分钟的车流量,每个路口的车流量分别为
,则这组数据的第
百分位数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecddf708793e8015f13973753a18496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3779b4ea5477aebfe85113b0de1d60.png)
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8 . 二维码的图案主要由黑、白两种小正方形组成.现对由4个小正方形组成的“
”进行涂色,每个小正方形随机涂成黑色或白色,则恰好涂成两个黑色和两个白色的概率为________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/21/bd2a3b9b-e193-44e3-9193-c5eecebed834.png?resizew=42)
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2023-08-20更新
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415次组卷
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3卷引用:安徽省安庆市第二中学2023-2024学年高一上学期入学检测数学试卷
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9 . 设点
在第二象限内,且
,
,则点P关于原点的对称点为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ba338ee0ef6b08754fc1b1225ba514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2387d3e5bee7ab4ba12999191d464ba6.png)
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2023-08-20更新
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103次组卷
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2卷引用:安徽省安庆市第二中学2023-2024学年高一上学期入学检测数学试卷
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10 . 数学家祖冲之曾给出圆周率
的两个近似值:“约率”
与“密率”
.它们可用“调日法”得到:称小于3.1415926的近似值为弱率,大于3.1415927的近似值为强率.由
,取3为弱率,4为强率,得
,故
为强率,与上一次的弱率3计算得
,故
为强率,继续计算,…….若某次得到的近似值为强率,与上一次的弱率继续计算得到新的近似值;若某次得到的近似值为弱率,与上一次的强率继续计算得到新的近似值,依此类推,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598564aec706dff769c5afc4c378c572.png)
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2023-02-23更新
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4699次组卷
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13卷引用:安徽省安庆市第二中学2023-2024学年高一上学期入学检测数学试卷
安徽省安庆市第二中学2023-2024学年高一上学期入学检测数学试卷2023届安徽省、云南省、吉林省、黑龙江省高三下学期2月适应性测试数学试题2023年安徽省、云南省、吉林省、黑龙江省联考数学试卷评价(已下线)2023年四省联考变试题11-16云南省2023届高三第一次高中毕业生复习统一检测数学试题山西省大同市2023届高三阶段性模拟(2月联考)数学试题(A卷)(已下线)专题19新文化与创新试题(已下线)专题09数列(选填题)山西省大同市第一中学校等2校2023届高三一模理科数学试题(已下线)江西省九师联盟2024届高三上学期10月联考数学试题四川省阆中中学校2023-2024学年高二下学期3月月考数学试题(已下线)湖北省武汉市(武汉六中)部分重点中学2024届高三第二次联考数学试题变式题11-16(已下线)模块三 失分陷阱2 不会从情境中抽出数列模型或关系