1 . 已知正方形
,其内切圆
与各边分别切于点
,
,
、
,连接
,
,
,
.现向正方形
内随机抛掷一枚豆子,记事件
:豆子落在圆
内,事件
:豆子落在四边形
外,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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2020-05-12更新
|
891次组卷
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5卷引用:2020届河南省开封市高三二模数学(理)试题
2020届河南省开封市高三二模数学(理)试题2020届河南省高三适应性测试理科数学试题河南省开封市2020届高三适应性测试理科数学(二模)试题(已下线)考点48 概率-备战2022年高考数学(理)一轮复习考点帮(已下线)专题30 条件概率与全概率公式-2020-2021学年高中数学新教材人教A版选择性必修配套提升训练
名校
2 . 某校早读从
点
分开始,若张认和钱真两位同学均在早晨
点至
点
分之间到校,且二人在该时段的任何时刻都到校都是等可能的,则张认比钱真至少早到
分钟的概率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53c7539ed297ea63b9ace6f5cc58ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53c7539ed297ea63b9ace6f5cc58ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-04-28更新
|
487次组卷
|
4卷引用:河北省石家庄市第二中学2019-2020学年高三下学期教学质量检测模拟数学(文)试题
解题方法
3 . 如图,为了估计函数
的图象与直线
,
以及
轴所围成的图形面积(阴影部分),在矩形
中随机产生
个点,落在阴影部分的样本点数为303个,则阴影部分面积的近似值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/2b7e96a9-455e-4b16-a09e-f3e5ab32bdcf.png?resizew=188)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dadc63e6e33743ce590ed968948a5a58.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/2b7e96a9-455e-4b16-a09e-f3e5ab32bdcf.png?resizew=188)
A.0.698 | B.0.606 | C.0.303 | D.0.151 |
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2020-04-26更新
|
276次组卷
|
2卷引用:2020届四川省宜宾市高三第二次诊断检测数学(文科)试题
名校
解题方法
4 . 小张家订了一份报纸,送报人可能在早上
之间把报送到小张家,小张离开家去工作的时间在早上
之间.用
表示事件:“小张在离开家前能得到报纸”,设送报人到达的时间为
,小张离开家的时间为
,
看成平面中的点,则用几何概型的公式得到事件
的概率
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d9ccec8ef0309f9374818161efa356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1545be7079059f97e7aaadaf6b78f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391c6e33329f5f4ad0c5107520d9a5cf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-04-22更新
|
704次组卷
|
4卷引用:2020届内蒙古包头市高三第一次模拟考试 数学(理)试题
解题方法
5 . 某人用随机模拟的方法估计无理数
的值,做法如下:首先在平面直角坐标系中,过点
作
轴的垂线与曲线
相交于点
,过
作
轴的垂线与
轴相交于点
(如图),然后向矩形
内投入
粒豆子,并统计出这些豆子在曲线
上方的有
粒
,则无理数
的估计值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/3993fea6-f389-410b-ac45-a8ac4a3fc4ee.png?resizew=139)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/3993fea6-f389-410b-ac45-a8ac4a3fc4ee.png?resizew=139)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-04-14更新
|
453次组卷
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2卷引用:2020届四川省宜宾市高三第二次诊断测试理科数学试题
名校
6 . 在区间
上随机取一个实数
,使直线
与圆
相交的概率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e0f7618f412244c2c711e6a1cc325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-04-14更新
|
753次组卷
|
7卷引用:2020届广西桂林、崇左、贺州高三下学期二模数学(理)试题
解题方法
7 . 毕达哥拉斯定理又称勾股定理,历史上有不少人研究过毕达哥拉斯定理的证明,汇总后有数百种证明方法,如图是按加法全等证明毕达哥拉斯定理的一个图形,其中阴影部分是四个全等的直角三角形,假设这四个直角三角形的两直角边的长分别为
、
,在该图形内任取一点,则该点取自阴影部分的概率为( )
![](https://img.xkw.com/dksih/QBM/2020/3/11/2417270266617856/2417520727228416/STEM/3134af2215174b408c08dc7cc6df9265.png?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://img.xkw.com/dksih/QBM/2020/3/11/2417270266617856/2417520727228416/STEM/3134af2215174b408c08dc7cc6df9265.png?resizew=152)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 由不等式组
确定的平面区域记为
,由不等式组
确定的平面区域记为
,若在
中随机取一点,则该点恰好在
内的概率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942199c19a1313b987a489c54b6fa83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df2ae3a092acc4ed595dea31ea66bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8595e5719f28e8da331e87784bac4349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42b6abf0d716fc2c59e1ea2476286ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df2ae3a092acc4ed595dea31ea66bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42b6abf0d716fc2c59e1ea2476286ec.png)
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2020-01-21更新
|
419次组卷
|
4卷引用:2020届江西省南昌市第十中学高三上学期期末考试数学(文)试题
2020届江西省南昌市第十中学高三上学期期末考试数学(文)试题2020届江西省南昌市第十中学高三上学期期末考试数学(理)试题(已下线)专题11.6 几何概型(练)【理】-《2020年高考一轮复习讲练测》2020届高三2月第01期(考点09)(文科)-《新题速递·数学》
名校
9 . 某同学用“随机模拟方法”计算曲线
与直线
所围成的曲边三角形的面积时,用计算机分别产生了10个在区间[1,e]上的均匀随机数xi和10个在区间[0,1]上的均匀随机数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/777dc3f392f7d1d186ca31cfc128804f.png)
,其数据如下表的前两行.
由此可得这个曲边三角形面积的一个近似值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7450a5c1d9e6b34e4556b63e9455121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/777dc3f392f7d1d186ca31cfc128804f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d8a36ae5e4f4671e2abbe795e70455.png)
x | 2.50 | 1.01 | 1.90 | 1.22 | 2.52 | 2.17 | 1.89 | 1.96 | 1.36 | 2.22 |
y | 0.84 | 0.25 | 0.98 | 0.15 | 0.01 | 0.60 | 0.59 | 0.88 | 0.84 | 0.10 |
lnx | 0.90 | 0.01 | 0.64 | 0.20 | 0.92 | 0.77 | 0.64 | 0.67 | 0.31 | 0.80 |
由此可得这个曲边三角形面积的一个近似值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-12-23更新
|
415次组卷
|
2卷引用:广东省广州市广东实验中学2019-2020学年高三第三次阶段考试文科数学试题
名校
解题方法
10 . 如图在直角坐标系
中,过原点
作曲线
的切线,切点为
,过点
分别作
、
轴的垂线,垂足分别为
、
,在矩形
中随机选取一点,则它在阴影部分的概率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/00eeb92f-8001-4100-bd13-00f19022bf6f.png?resizew=179)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/310003639599e4bea7873854b13694ef.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/14e902eb263971b466d0fcd91c56b453.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/00eeb92f-8001-4100-bd13-00f19022bf6f.png?resizew=179)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-04-08更新
|
492次组卷
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2卷引用:2019届山东省德州市高三第二次练习数学(理)试题