高一数学几何概型,有关时间段概率

2024-11-07 10:41:01
推荐回答(4个)
回答(1):

设报纸送到的时刻为x 人离开的时刻为y

x在6点—8点 y在7点—9点

构成边长为2的正方形,其面积为4

所谓不能看到报纸是指人离开的时刻要小于报纸送到的时刻,即y

即正方形中在y=x下方的区域,是一个腰长为1的等腰直角三角形,其面积为1/2

故所求概率为P=(1/2)/4=1/8

图形如下:

回答(2):

设报纸送到时刻为x,离家上班时刻为y,

则6≤x≤8,7≤y≤9.

A=“不能看到报纸”=“y≤x”(注:上班后报纸送到)

由图可知,P(A)=直线下方三角形的面积与正方形的面积之比

=1/16

回答(3):

以前做到过
用直角坐标系来表示,横轴为离家时间,纵轴为送报工来到时间,这样构成了一个正方形,这是事情发生的区域面积为1,然后求相遇的时间可能的面积为7/8,所以概率就为1-7/8=1/8。

回答(4):

1/8

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