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【345618】6.3 第3课时 与面积相关的概率(1)——面积型概率2

时间:2025-03-05 18:51:32 作者: 字数:2097字
简介:

1.将一个小球在如图所示的地砖上自由滚动,最终停在黑色方砖上的概率为( 

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

A.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>                 B.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>                    C.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>                D.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

2.如图是小鹏自己制作的正方形飞镖盘,并在盘内画了两个小正方形,则小鹏在投掷飞镖时,飞镖扎在阴影部分的概率为(

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

A.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a> B.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a> C.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a> D.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

3.如图,在平行四边形纸片上作随机扎针试验,针头扎在阴影区域内的概率为(

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

A.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a> B.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a> C.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a> D.  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

4.假如一只小猫在如图所示的地板上自由地走来走去,并随意停留在某块方砖上,它最终停留在黑色的方砖上的概率是_____

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

5.向如图所示的正三角形区域扔沙包(区域中每一个小正三角形除颜色外完全相同),假设沙包击中每一个小三角形是等可能的,扔沙包1次击中阴影区域的概率等于_______

 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

6.小明在操场上做游戏,他发现地上有一个不规则的封闭图形ABC.为了知道它的面积,小明在封闭图形内划出了一个半径为1米的圆,在不远处向圈内掷石子,且记录如下:

求出封闭图形ABC的面积.

掷石子次数石子落在的区域

50

150

300

石子落在O内(含O上)的次数m

14

43

93

石子落在阴影内的次数n

19

85

186


 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>














答案:

1C

2A

3C

4 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

5 <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

6解:由表格提供的数据可以看出,  <a href="/tags/16/" title="课时" class="c1" target="_blank">课时</a> <a href="/tags/105/" title="面积" class="c1" target="_blank">面积</a> <a href="/tags/415/" title="相关" class="c1" target="_blank">相关</a> <a href="/tags/428/" title="概率" class="c1" target="_blank">概率</a>

S

S阴影=2π

S封闭图形ABC=π+2π=3π


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