在区间
上随机取两个数
,则事件“
”的概率为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21802ccb693be25837fa96fb845f0179.png)
更新时间:2016-12-04 14:20:04
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【推荐2】下列说法正确的是___________ .(填序号)
①直线
:
与直线
:
平行的充要条件是
;
②若
,则
的最大值为1;
③曲线
与直线
所夹的封闭区域面积可表示为
;
④若二项式
的展开式系数和为1,则
.
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b3c8be9aee074c9a3203abace248ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f06443b381a16ea4a5e39e19794a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53ea3373af8c2c835a1bfbe2c742d8a.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
③曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3eec02f1eec24b3b2042ab7f6e96bca.png)
④若二项式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6908dcfaba9516f0ebea28bc043fc08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
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解题方法
【推荐1】如下图,利用随机模拟的方法可以估计图中由曲线
与两直线
及
所围成的阴影部分的面积
:①先产生两组0~1的均匀随机数,
=RAND( ),
=RAND( );②做变换,令
;③产生
个点
,并统计落在阴影内的点
的个数
,已知某同学用计算器做模拟试验结果,当
时,
=332,则据此可估计
的值为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef72cf8297d91045117d50b4e9d3476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d0f577385ba98bf06cd5aae46fdb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7688363f5ffff23a6193c7a8eee501c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d660da29eb3f36c5a64efe88be6b7ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7688363f5ffff23a6193c7a8eee501c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://img.xkw.com/dksih/QBM/2017/12/1/1829310011465728/1834029228277760/STEM/81305b27de7b439db4dec17c2cba983b.png?resizew=225)
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【推荐2】下列关于概率和统计的几种说法:①10名工人某天生产同一种零件,生产的件数分别是15,17,14,10,15,17,17,16,14,12,设其平均数为
,中位数为
,众数为
,则
,
,
的大小关系为
;②样本4,2,1,0,-2的标准差是2;③在面积为
的
内任选一点
,则随机事件“
的面积小于
”的概率为
;④从写有0,1,2,…,9的十张卡片中,有放回地每次抽一张,连抽两次,则两张卡片上的数字各不相同的概率是
.其中正确说法的序号有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e125231382a9240eaa8f25d8fcd6f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f558992e649b93ee36f37513781311a8.png)
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