名校
1 . 设
为区间
上的连续函数,且恒有
,可以用随机模拟方法近似计算积分
,先产生两组(每组n个)区间
上的均匀随机数
,
…,
和
,
…,
,由此得到n个点
,再数出其中满足
的点有m个,那么由随机模拟方法可得积分
的近似值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49891e60b9dc916843a3f03b416e7bca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3484bb56c29d33159afd745f181b2672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79b9eaa5e7ab7a1e5c512b571914dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762338fed3801d82b6ea627798518c3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7f9c70d0e98e031097231e00e51e2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3484bb56c29d33159afd745f181b2672.png)
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2 . 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)
您最近一年使用:0次
2014·吉林延边·一模
3 . 给出下列命题:
① 已知线性回归方程
,当变量
增加2个单位,其预报值平均增加4个单位;
② 在进制计算中,
;
③ 若
,且
,则
;
④ “
”是“函数
的最小正周期为4”的充要条件;
⑤ 设函数
的最大值为
,最小值为
,则
,其中正确命题的个数是_____ 个.
① 已知线性回归方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8a20de7a89ee822d3e55db1205cef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
② 在进制计算中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af280af38c22664f9d5f40b4e744cbce.png)
③ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26c9847f64cb2eabc3169da3a9a77b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e48e6198b198b7849ad07e302904624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/970ea9725d9a57fb2067466572fe14b8.png)
④ “
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a734f854471a10191113b566995c3f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830ae6e08aace1868f5dc436b423cdb1.png)
⑤ 设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828cac1782ab980387f39570048b9df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4f22e4c6004397d5d3ea80ce3f92b7.png)
您最近一年使用:0次