1 . 关于问题“从区间
内随机地取两个数x,y,求x,y满足
的概率”,有一种解法是:在平面直角坐标系内,条件
表示的区域为边长
的正方形,面积
;所求
表示的区域为半径
的圆的
,面积
,则所求概率
.类比上述解法,我们可求得:从区间
内随机地取三个数x,y,z,则x,y,z满足
的概率为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dccf7fdc9ff5e9e6ed897ec3a716a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3c012fe79ce5c4b7ff30dac73c5a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c752ebe8516e7d3327f3410473d9a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5529f8149d6ea5ad04323f4676b2112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7551011cfb75b26f35b07d6617c6a18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b4bd12fc54469e386724bb367282c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d36e1beb36c5f70fd69fdcdb599c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5e7d952a3e4538803ad8e142a16104.png)
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2023-02-28更新
|
100次组卷
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2卷引用:重庆市巴蜀中学校2020届高三下学期5月月考文科数学试题
2 . 长方形的长宽和对角线的长分别为
、
、
,满足关系式:
;用类比推理的方法,长方体的长宽高和体对角线的长分别为
、
、
、
,满足关系式:________ .
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa24aa54530d9374979dd360f886feed.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次