实验小学北师大版小学六年级数学上册第一单元测试试卷及答案

<div style="layout-grid:; "><div style="text-align: center;"><span class="Apple-style-span" style="font-weight: bold; "><font class="Apple-style-span" color="#FF0000">实验小学北师大版六年级数学上册第一单元测试卷</font></span></div><span style=" letter-spacing:; "></span><br><span style=" font-weight:bold; ">一、填空</span><span style=" font-weight:bold; ">。(19分)</span><span style=" font-weight:bold; "></span><br><br><span>1、画圆时,圆规两脚之间的距离为4厘米,那么这个圆的直径是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)厘米,周长是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)厘米,面积是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)平方厘米。</span><br><br><span>2</span><span>.在等圆中,所有的直径都</span><span>( </span><span>&nbsp;</span><span>&nbsp;)</span><span>,所有的半径都</span><span>( </span><span>&nbsp;</span><span>&nbsp;)</span><span>,直径是半径的</span><span>(  &nbsp;)</span><span>。</span><br><br><span>3</span><span>.圆的直径扩大</span><span>3</span><span>倍,它的周长就扩大</span><span>(   )</span><span>倍,它的面积就扩大</span><span>(  &nbsp;)</span><span>倍。</span><br><br><span>4</span><span>.长方形有</span><span>(   &nbsp;)</span><span>条对称轴。正方形有</span><span>(   &nbsp;)</span><span>条对称轴,等腰三角形有</span><span>(   &nbsp;)</span><span>条对称轴,圆有</span><span>(   &nbsp;)</span><span>条对称轴。</span><br><br><span>5</span><span>.在一个边长为</span><span>4</span><span>分米的正方形里,画一个最大的圆,这个圆的直径为</span><span>(  </span><span>&nbsp;</span><span> </span><span>&nbsp;&nbsp;</span><span>&nbsp;)</span><span>分米,半径为</span><span>( </span><span>&nbsp;&nbsp;&nbsp;</span><span>&nbsp;)</span><span>分米,周长为</span><span>(  </span><span>&nbsp;</span><span>&nbsp;)</span><span>分米,面积为</span><span>(  </span><span>&nbsp;&nbsp;</span><span>&nbsp;)</span><span>平方分米。</span><br><br><span>6</span><span>.把一个圆平均分成若干份,可以拼成一个近似于长方形。长方形的长相当于圆的(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;),宽相当于圆的(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。</span><br><br><span>7</span><span>.一个半圆形的花坛周长是</span><span>30.84</span><span>米,这个半圆形花坛的面积是</span><span>(  </span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>&nbsp;)</span><span>。</span><br><br><span style=" font-weight:bold; ">二、判断。</span><span style=" font-weight:bold; ">(6分)</span><span style=" font-weight:bold; "></span><br><br><span>1</span><span>.一个圆的周长是它半径的</span><span>2</span><span>π倍。</span><span> &nbsp;(   &nbsp;)</span><br><br><span>2</span><span>.一个圆的直径,就是这个圆的对称轴。</span><span> &nbsp;(   &nbsp;)</span><br><br><span>3</span><span>.半圆的周长是与它等半径圆周长的一半。&nbsp;&nbsp;&nbsp;</span><span>&nbsp;(   &nbsp;)</span><br><br><span>4</span><span>.通过圆心的线段,叫做直径。</span><span> &nbsp;(   &nbsp;)</span><br><br><span>5</span><span>.半径是</span><span>2</span><span>厘米的圆,它的周长和面积相等。</span><span> (   &nbsp;)</span><br><br><span>6</span><span>.一个圆的直径等于一个正方形的边长,那么正方形面积小于圆的面积。</span><span>(   &nbsp;)</span><br><br><span style=" font-weight:bold; ">三、选择</span><span style=" font-weight:bold; ">。(7分)</span><span style=" font-weight:bold; "></span><br><br><span>1</span><span>.一个圆的半径乘以π等于这个圆</span><span>&nbsp;(   &nbsp;)</span><span>。</span><br><br><span>(1)</span><span>周长的一半&nbsp;&nbsp;&nbsp;&nbsp;</span><span>&nbsp;<img src="//www.szxuexiao.com/uploadimages/2012/1113/20121113174246.png?m=0.07664368161931634">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)</span><span>半圆的周长</span><br><br><span>2</span><span>.在一个长</span><span>6</span><span>厘米,宽</span><span>4</span><span>厘米的长方形内画一个最大的圆,这个圆的面积是</span><span>________</span><span>平方厘米</span><span>(   &nbsp;)</span><br><br><span>(1)28.26</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(2)19.625</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)12.56</span><br><br><span>3</span><span>.一个圆的半径</span><span>1</span><span>分米,它的半圆周长是</span><span>________</span><span>分米。</span><span>&nbsp;(   &nbsp;)</span><br><br><span>(1)3.14</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(2)4.14</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)5.14</span><br><br><span>4</span><span>.一个圆的直径扩大</span><span>6</span><span>倍,它的面积就</span><span>&nbsp;(   &nbsp;)</span><br><br><span>(1)</span><span>扩大</span><span>6</span><span>倍&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(2)</span><span>扩大</span><span>36</span><span>倍&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)</span><span>扩大</span><span>12</span><span>倍</span><br><br><span>5</span><span>.下面三幅图的阴影部分的面积相比较,</span><span>________</span><span>的面积大。</span><span>&nbsp;(   &nbsp;)</span><br><br><span>(1)</span><span>图</span><span>(1)</span><span>大&nbsp;&nbsp;&nbsp;</span><span>(2)</span><span>图</span><span>(2)</span><span>大&nbsp;&nbsp;&nbsp;</span><span>(3)</span><span>图</span><span>(3)</span><span>大&nbsp;&nbsp;&nbsp;</span><span>(4)</span><span>同样大</span><br><br><img src="//www.szxuexiao.com/uploadimages/2012/1113/2012111317438.png?m=0.1547854421660304"><br><br><span>6</span><span>.如图,已知正方形面积是16平方分米,图中圆的面积是</span><span>________</span><span>平方分米。</span><span> &nbsp;(   &nbsp;)</span></div><div style="layout-grid:; "><br></div><div style="layout-grid:; "><span></span><img src="//www.szxuexiao.com/uploadimages/2012/1113/20121113174341.png?m=0.29567950894124806"><br><br><span>(1)12.56</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(2)6.28</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)</span><span>15.7&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><br><br><span>7.一个挂钟的时针长2.5厘米,一昼夜这根时针的尖端走了(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)</span><br><br><span>A.15.7厘米&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;B.&nbsp;31.4厘米&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;C.78.5厘米</span><br><br><span style=" font-weight:bold; ">四、</span><span style=" font-weight:bold; ">求阴影部分的面积</span><span style=" font-weight:bold; ">。</span><span style=" font-weight:bold; ">(单位:厘米)(8分)</span><span style=" font-weight:bold; "></span><br><br></div><div style="layout-grid:; "><img src="//www.szxuexiao.com/uploadimages/2012/1113/2012111317446.png?m=0.6951209425460547"><img src="//www.szxuexiao.com/uploadimages/2012/1113/20121113174423.png?m=0.8412719299085438"><br></div><div style="layout-grid:; "><br><span style=" font-weight:bold; ">五、动手操作(11分)</span><span style=" font-weight:bold; "></span><br><br><span>1、画出一个周长9.42厘米的圆,并用字母标出圆心、半径、直径。(7分)</span><br><br><span>2、</span><span>画下面图形的对称轴</span><span>。</span><span>(能画几条,就画几条)</span><span>(7分)</span><br><br></div><div style="layout-grid:; "><img src="//www.szxuexiao.com/uploadimages/2012/1113/20121113174524.png?m=0.03721210197545588"><br><span>&nbsp;&nbsp;&nbsp;</span><br><br><span style=" font-weight:bold; ">六、解决问题(共46分,1题10分,其余题每题6分)</span><span style=" font-weight:bold; "></span><br><br><span>1</span><span>、求出下面两图形的周长和面积。</span><span>(</span><span>单位:厘米</span><span>)</span><br><br><img src="//www.szxuexiao.com/uploadimages/2012/1113/20121113174545.png?m=0.7556726022157818"><br><br><span>2</span><span>、</span><span>通过一座桥</span><span>,</span><span>直径是1.2米的车轮需转500圈</span><span>,</span><span>这座桥长多少米?</span><br><br><span>3</span><span>、一个圆形的桌面,直径为80厘米,现在要在桌面上安放一个同样大小的玻璃,求这个桌面玻璃的面积?如果玻璃每平方米价格为100元,这个玻璃要花多少钱?</span><br><br><span>4、</span><span>有大、小两个圆,小圆周长是</span><span>37.68</span><span>米</span><span>,</span><span>大圆直径是小圆直径的2倍</span><span>,</span><span>大圆的面积是多少</span><span>?</span><br><br><span>5、在一个半径为3米的圆形花坛外,围绕一周修一条1米宽的小路,这条小路的面积是多少平方米?</span><br><br><span>6、</span><span>在一个长9厘米,宽6厘米的长方形纸中,剪下一个最大的圆,纸片剩下部分的面积是多少平方厘米?</span><br><br><span>7、</span><span>一只大钟</span><span>,</span><span>它的</span><span>时针</span><span>长40厘米</span><span>。当从中午12时到下午3时,</span><span>这根</span><span>时</span><span>针的尖端所走的路程是多少厘米?</span><br><br></div><div style="layout-grid:; "><br><br><div style="text-align: center;"><span class="Apple-style-span" style="font-weight: bold; "><font class="Apple-style-span" color="#38761D">实验小学北师大版六年级数学上册第一单元测试卷</font></span></div><span style=" letter-spacing:; "></span><br><span style=" font-weight:bold; ">一、填空</span><span style=" font-weight:bold; ">。(19分)</span><span style=" font-weight:bold; "></span><br><br><span>1、画圆时,圆规两脚之间的距离为4厘米,那么这个圆的直径是(&nbsp;</span><span style=" font-weight:bold; ">8</span><span>&nbsp;&nbsp;)厘米,周长是(&nbsp;&nbsp;</span><span style=" font-weight:bold; ">25.12</span><span>&nbsp;&nbsp;)厘米,面积是(&nbsp;&nbsp;</span><span style=" font-weight:bold; ">50.24</span><span>&nbsp;)平方厘米。</span><br><br><span style=" font-weight:bold; ">思路:圆规两脚间的距离是半径的长度,×2就是直径,直径×3.14就是周长8×3.14,半径的平方×3.14就是面积4</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">×3.14</span><span style=" font-weight:bold; "></span><br><br><span>2</span><span>.在等圆中,所有的直径都</span><span>(</span><span style=" font-weight:bold; ">相等</span><span>&nbsp;)</span><span>,所有的半径都</span><span>(</span><span style=" font-weight:bold; ">相等</span><span>&nbsp;)</span><span>,直径是半径的</span><span>(</span><span style=" font-weight:bold; ">2倍</span><span>&nbsp;)</span><span>。</span><br><br><span>3</span><span>.圆的直径扩大</span><span>3</span><span>倍,它的周长就扩大</span><span>( </span><span style=" font-weight:bold; ">3</span><span> )</span><span>倍,它的面积就扩大</span><span>(</span><span style=" font-weight:bold; ">9</span><span>&nbsp;)</span><span>倍。</span><br><br><span style=" font-weight:bold; ">思路:周长扩大的倍数和半径、直径扩大的倍数相同,面积扩大的倍数是半径、直径扩大倍数的平方倍。也可以通过举例找它们之间的关系。</span><span style=" font-weight:bold; "></span><br><br><span>4</span><span>.长方形有</span><span>( </span><span style=" font-weight:bold; ">2</span><span>&nbsp;)</span><span>条对称轴。正方形有</span><span>( </span><span style=" font-weight:bold; ">4</span><span style=" font-weight:bold; ">&nbsp;</span><span>)</span><span>条对称轴,等腰三角形有</span><span>( </span><span style=" font-weight:bold; ">1</span><span>&nbsp;)</span><span>条对称轴,圆有</span><span>( </span><span style=" font-weight:bold; ">无数</span><span>&nbsp;)</span><span>条对称轴。</span><br><br><span style=" font-weight:bold; ">思路:记住等腰三角形有一条对称轴,而等边三角形才有3条。</span><br><br><span>5</span><span>.在一个边长为</span><span>4</span><span>分米的正方形里,画一个最大的圆,这个圆的直径为</span><span>( </span><span style=" font-weight:bold; ">4</span><span>&nbsp;</span><span>&nbsp;)</span><span>分米,半径为</span><span>( </span><span style=" font-weight:bold; ">2</span><span>&nbsp;)</span><span>分米,周长为</span><span>(</span><span style=" font-weight:bold; ">12.56</span><span style=" font-weight:bold; ">&nbsp;</span><span>)</span><span>分米,面积为</span><span>(</span><span style=" font-weight:bold; ">12.56</span><span>)</span><span>平方分米。</span><br><br><span style=" font-weight:bold; ">思路:正方形的边长就是圆的直径,÷2是半径,然后再求周长和面积。</span><span style=" font-weight:bold; "></span><br><br><span>6</span><span>.把一个圆平均分成若干份,可以拼成一个近似于长方形。长方形的长相当于圆的(</span><span style=" font-weight:bold; ">圆周长的一半</span><span>),宽相当于圆的(&nbsp;</span><span style=" font-weight:bold; ">&nbsp;半径</span><span>)。</span><br><br><span>7</span><span>.一个半圆形的花坛周长是</span><span>30.84</span><span>米,这个半圆形花坛的面积是</span><span>(</span><span style=" font-weight:bold; "> </span><span style=" font-weight:bold; ">56.52m</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">&nbsp;</span><span>)</span><span>。</span><br><br><span style=" font-weight:bold; ">思路:要求圆的面积必须求出圆的半径,根据半圆的周长=πr+2r,列出方程3.14r+2r=30.84,解方程求出半径=6m,3.14×</span><span style=" font-weight:bold; ">6</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">÷2=56.52</span><span style=" font-weight:bold; ">m</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">,部分同学没有÷2或者没写单位。</span><span style=" font-weight:bold; "></span><br><br><span style=" font-weight:bold; ">二、判断。</span><span style=" font-weight:bold; ">(6分)</span><span style=" font-weight:bold; "></span><br><br><span>1</span><span>.一个圆的周长是它半径的</span><span>2</span><span>π倍。</span><span> &nbsp;( </span><span style=" font-weight:bold; ">√</span><span>&nbsp;)</span><br><br><span>2</span><span>.一个圆的直径,就是这个圆的对称轴。</span><span> &nbsp;( </span><span style=" font-weight:bold; ">×</span><span>&nbsp;)</span><br><br><span style=" font-weight:bold; ">思路:应该是直径所在的直线。</span><span style=" font-weight:bold; "></span><br><br><span>3</span><span>.半圆的周长是与它等半径圆周长的一半。&nbsp;&nbsp;&nbsp;</span><span>&nbsp;( </span><span style=" font-weight:bold; ">×</span><span>&nbsp;)</span><br><br><span style=" font-weight:bold; ">思路:半圆的周长应该是与它等半径圆周长的一半加直径。</span><span style=" font-weight:bold; "></span><br><br><span>4</span><span>.通过圆心的线段,叫做直径。</span><span> &nbsp;( </span><span style=" font-weight:bold; ">×</span><span>&nbsp;)</span><br><br><span style=" font-weight:bold; ">思路:必须通过圆心,两端都在圆上。</span><span style=" font-weight:bold; "></span><br><br><span>5</span><span>.半径是</span><span>2</span><span>厘米的圆,它的周长和面积相等。</span><span> ( </span><span style=" font-weight:bold; ">×</span><span>&nbsp;)</span><br><br><span style=" font-weight:bold; ">思路:周长和面积意义不同,单位也不同。</span><span style=" font-weight:bold; "></span><br><br><span>6</span><span>.一个圆的直径等于一个正方形的边长,那么正方形面积小于圆的面积。</span><span>(   &nbsp;)</span><br><br><span style=" font-weight:bold; ">思路:直径和边长相等时,圆画在正方形的里面,所以正方形面积大于圆的面积。</span><span style=" font-weight:bold; "></span><br><br><span style=" font-weight:bold; ">三、选择</span><span style=" font-weight:bold; ">。(7分)</span><span style=" font-weight:bold; "></span><br><br><span>1</span><span>.一个圆的半径乘以π等于这个圆</span><span>&nbsp;( </span><span style=" font-weight:bold; ">1</span><span>&nbsp;)</span><span>。</span><br><br><span>(1)</span><span>周长的一半&nbsp;&nbsp;&nbsp;&nbsp;</span><span>&nbsp;</span><img src="//www.szxuexiao.com/uploadimages/2012/1113/20121113174246.png?m=0.07664368161931634"><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)</span><span>半圆的周长</span></div><div style="layout-grid:; "><br><span style=" font-weight:bold; ">思路:πr就是圆周长的一半。</span><span style=" font-weight:bold; "></span><br><br><span>2</span><span>.在一个长</span><span>6</span><span>厘米,宽</span><span>4</span><span>厘米的长方形内画一个最大的圆,这个圆的面积是</span><span>________</span><span>平方厘米</span><span>( </span><span style=" font-weight:bold; ">3</span><span>&nbsp;)</span><br><br><span>(1)28.26</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(2)19.625</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)12.56</span><br><br><span style=" font-weight:bold; ">思路:宽就是圆的直径。3.14×(4÷2)</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; "></span><br><br><span>3</span><span>.一个圆的半径</span><span>1</span><span>分米,它的半圆周长是</span><span>________</span><span>分米。</span><span>&nbsp;( </span><span style=" font-weight:bold; ">3</span><span>&nbsp;)</span><br><br><span>(1)3.14</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(2)4.14</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)5.14</span><br><br><span style=" font-weight:bold; ">思路:半圆的周长=πr+2r,3.14×1+2×1=5.14</span><span style=" font-weight:bold; "></span><br><br><span>4</span><span>.一个圆的直径扩大</span><span>6</span><span>倍,它的面积就</span><span>&nbsp;( </span><span style=" font-weight:bold; ">2</span><span>&nbsp;)</span><br><br><span>(1)</span><span>扩大</span><span>6</span><span>倍&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(2)</span><span>扩大</span><span>36</span><span>倍&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)</span><span>扩大</span><span>12</span><span>倍</span><br><br><span style=" font-weight:bold; ">思路:同填空题第三小题。</span><span style=" font-weight:bold; "></span><br><br><span>5</span><span>.下面三幅图的阴影部分的面积相比较,</span><span>________</span><span>的面积大。</span><span>&nbsp;( </span><span style=" font-weight:bold; ">4</span><span>&nbsp;)</span><br><br><span>(1)</span><span>图</span><span>(1)</span><span>大&nbsp;&nbsp;&nbsp;</span><span>(2)</span><span>图</span><span>(2)</span><span>大&nbsp;&nbsp;&nbsp;</span><span>(3)</span><span>图</span><span>(3)</span><span>大&nbsp;&nbsp;&nbsp;</span><span>(4)</span><span>同样大</span><br><br></div><div style="layout-grid:; "><img src="//www.szxuexiao.com/uploadimages/2012/1113/2012111317438.png?m=0.1547854421660304"></div><div style="layout-grid:; "><span style=" font-weight:bold; ">思路:阴影部分的面积都可以看成正方形的面积-圆的面积</span><span style=" font-weight:bold; "></span><br><br><span>6</span><span>.如图,已知正方形面积是16平方分米,图中圆的面积是</span><span>________</span><span>平方分米。</span><span> &nbsp;( </span><span style=" font-weight:bold; ">1</span><span>&nbsp;)</span><br><br><span>(1)12.56</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(2)6.28</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(3)</span><span>15.7 &nbsp; &nbsp; &nbsp;</span><img src="//www.szxuexiao.com/uploadimages/2012/1113/20121113174341.png?m=0.29567950894124806">&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</div><div style="layout-grid:; "><br><span style=" font-weight:bold; ">思路:根据正方形的面积是16可知边长应为4分米也就是直径是4分米,然后再求面积</span><span style=" font-weight:bold; "></span><br><br><span>7.一个挂钟的时针长2.5厘米,一昼夜这根时针的尖端走了(&nbsp;</span><span style=" font-weight:bold; ">B</span><span>&nbsp;)</span><br><br><span>A.15.7厘米&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;B.&nbsp;31.4厘米&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;C.78.5厘米</span><br><br><span style=" font-weight:bold; ">思路:时针的长度是半径,知道半径求周长,一昼夜走两圈,也就是周长×2</span><span style=" font-weight:bold; "></span><br><br><span style=" font-weight:bold; ">四、</span><span style=" font-weight:bold; ">求阴影部分的面积</span><span style=" font-weight:bold; ">。</span><span style=" font-weight:bold; ">(单位:厘米)(8分)</span><span style=" font-weight:bold; "></span><br><br><img src="//www.szxuexiao.com/uploadimages/2012/1113/2012111317446.png?m=0.6951209425460547"><img src="//www.szxuexiao.com/uploadimages/2012/1113/20121113174423.png?m=0.8412719299085438"><br><span style=" font-weight:bold; ">(1)思路:用正方形的面积-圆的面积(四个空白的扇形可以拼成一个圆)列式:10×10-3.14×(10÷2)</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">=21.5</span><span style=" font-weight:bold; "></span><br><br><span style=" font-weight:bold; ">(2)阴影部分的面积可以看成两个圆的面积3.14×(4÷2)</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">×2=25.12</span><span style=" font-weight:bold; "></span><br><br><span style=" font-weight:bold; ">五、动手操作(11分)</span><span style=" font-weight:bold; "></span><br><br><span>1、画出一个周长9.42厘米的圆,并用字母标出圆心、半径、直径。(7分)</span><br><br><span style=" font-weight:bold; ">思路:根据9.42÷3.14÷2=1.5可知应该画一个半径为1.5cm的圆。,再用字母标出圆心、半径、直径</span><span style=" font-weight:bold; "></span><br><br><span style=" z-index:1; left:0px; "></span><span>2、</span><span>画下面图形的对称轴</span><span>。</span><span>(能画几条,就画几条)</span><span>(7分)</span><br><br><img src="//www.szxuexiao.com/uploadimages/2012/1113/2012111317513.jpg?m=0.6044029348995537"><br><br><span style=" font-weight:bold; ">(1)思路:3条应该通过圆心和另外两个圆的交叉部分,假如把三个圆心连起来就是一个等边三角形,实际上也就是给这个等边三角形画对称轴。</span><span style=" font-weight:bold; "></span><br><br><span style=" font-weight:bold; ">(2)思路:有4条,实际上就是给正方形画对称轴。</span><span style=" font-weight:bold; "></span><br><br><span style=" font-weight:bold; ">六、解决问题(共46分,1题10分,其余题每题6分)</span><span style=" font-weight:bold; "></span><br><br><span>1</span><span>、求出下面两图形的周长和面积。</span><span>(</span><span>单位:厘米</span><span>)</span><br><br><img src="//www.szxuexiao.com/uploadimages/2012/1113/20121113175124.png?m=0.11690713837742805"><br><br><span style=" font-weight:bold; ">(1)思路:周长:3.14×12=37.68&nbsp;&nbsp;面积:3.14×(12÷2)</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">=113.04</span><span style=" font-weight:bold; "></span><br><br><span style=" font-weight:bold; ">(2)思路:周长:分成两部分:圆周长的一半5×2×3.14÷2=15.7和一个正方形5×4=20,15.7+20=35.7。面积:分成两部分:半圆的面积3.14×5</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">÷2=39.25和一个正方形5×5=25,然后39.25+25=64.25</span><span style=" font-weight:bold; "></span><br><br><span>2</span><span>、</span><span>通过一座桥</span><span>,</span><span>直径是1.2米的车轮需转500圈</span><span>,</span><span>这座桥长多少米?</span><br><br><span style=" font-weight:bold; ">思路:3.14×1.2×500(结果1884)</span><span style=" font-weight:bold; "></span><br><br><span>3</span><span>、一个圆形的桌面,直径为80厘米,现在要在桌面上安放一个同样大小的玻璃,求这个桌面玻璃的面积?如果玻璃每平方米价格为100元,这个玻璃要花多少钱?</span><br><br><span style=" font-weight:bold; ">思路:注意单位换算和40</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">=40×40=1600不等于160。80÷2=40,3.14×40</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">=3.14×1600=5024cm</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">,5024cm</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">=0.5024m</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">,0.5024×100=50.24元</span><span style=" font-weight:bold; "></span><br><br><span>4、</span><span>有大、小两个圆,小圆周长是</span><span>37.68</span><span>米</span><span>,</span><span>大圆直径是小圆直径的2倍</span><span>,</span><span>大圆的面积是多少</span><span>?</span><br><br><span style=" font-weight:bold; ">思路:37.68÷3.14等于小圆的直径,再×2是大圆的直径,再÷2是大圆的半径,3.14×12</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">=452.16</span><span style=" font-weight:bold; "></span><br><br><span>5、在一个半径为3米的圆形花坛外,围绕一周修一条1米宽的小路,这条小路的面积是多少平方米?</span><br><br><span style=" font-weight:bold; ">思路:这道题求销路的面积就是求圆环的面积3.14×(3+1)</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; ">-3.14×3</span><span style=" font-weight:bold; vertical-align:super; ">2</span><span style=" font-weight:bold; "></span><br><br><span>6、</span><span>在一个长9厘米,宽6厘米的长方形纸中,剪下一个最大的圆,纸片剩下部分的面积是多少平方厘米?</span><br><br><span style=" font-weight:bold; ">思路:最大的圆的直径应该是长方形的宽,然后用长方形的面积-圆的面积</span><span style=" font-weight:bold; "></span><br><br><span>7、</span><span>一只大钟</span><span>,</span><span>它的</span><span>时针</span><span>长40厘米</span><span>。当从中午12时到下午3时,</span><span>这根</span><span>时</span><span>针的尖端所走的路程是多少厘米?</span><br><br><span style=" font-weight:bold; ">思路:时针相当于圆的半径,中午12时到下午3时,时针所走的路程相当于一个圆的四分之一,所以求出圆的面积再÷4或乘四分之一。部分同学没有用40×2或最后当成了3圈去乘3这是不对的。</span><span style=" font-weight:bold; "></span><br><br><br></div>