2014年北师大版小学六年级数学下册第一单元圆柱和圆锥测试题

<div style="text-align: center;"><strong><font color="#ff0000">2014年北师大版小学<span style="line-height: 12pt; font-family: 宋体;">六年级下册第一单元检测题</span></font></strong></div><div><span style="line-height: 12pt; font-family: 宋体;"><br></span></div><div><div style="text-align: center;"><span style="font-family: 宋体; line-height: 12pt;">姓名:_________</span></div><br><strong><span style=" font-family: ‘Times New Roman‘;">一、&nbsp;</span><span style=" font-family: 宋体;">填空题。</span></strong><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: ‘Times New Roman‘;">1</span><span style=" font-family: 宋体;">、</span><span style=" font-family: 宋体;">&nbsp;</span><span style=" font-family: ‘Times New Roman‘;">0.06</span><span style=" font-family: 宋体;">立方分米</span><span style=" font-family: ‘Times New Roman‘;">=</span><span style=" font-family: 宋体;">(&nbsp;&nbsp;&nbsp;</span><span style=" font-family: ‘Times New Roman‘;">&nbsp;</span><span style=" font-family: 宋体;">)毫升</span><span style=" font-family: 宋体;">&nbsp;&nbsp;&nbsp; </span><span style=" font-family: Arial;">1.08</span><span style=" font-family: 宋体;">吨</span><span style=" font-family: Arial;">=</span><span style=" font-family: 宋体;">(&nbsp;&nbsp;</span><span style=" font-family: Arial;">&nbsp;</span><span style=" font-family: 宋体;">)吨(</span><span style=" font-family: Arial;">&nbsp;</span><span style=" font-family: 宋体;">&nbsp;&nbsp;</span><span style=" font-family: 宋体;">)千克</span><span style=" font-family: Arial;">&nbsp;</span><span style=" font-family: 宋体;">&nbsp; &nbsp;</span><span style=" font-family: Arial;">3</span><span style=" font-family: 宋体;">日</span><span style=" font-family: Arial;">8</span><span style=" font-family: 宋体;">小时</span><span style=" font-family: Arial;">=</span><span style=" font-family: 宋体;">(&nbsp;&nbsp;</span><span style=" font-family: Arial;">&nbsp;</span><span style=" font-family: 宋体;">)日</span><span style=" font-family: Arial;">&nbsp;</span><span style=" font-family: 宋体;">&nbsp;&nbsp;</span><span style=" font-family: Arial;">8</span><span style=" font-family: 宋体;">立方米</span><span style=" font-family: Arial;">16</span><span style=" font-family: 宋体;">立方分米</span><span style=" font-family: Arial;">=</span><span style=" font-family: 宋体;">(&nbsp;&nbsp;&nbsp;</span><span style=" font-family: 宋体;">)立方米</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">2</span><span style=" font-family: 宋体;">、</span><span style=" font-family: 宋体;">一个圆柱体的表面积是</span><span style=" font-family: ‘Times New Roman‘;">1884</span><span style=" font-family: 宋体;">平方厘米,底面半径是</span><span style=" font-family: ‘Times New Roman‘;">10</span><span style=" font-family: 宋体;">厘米,它的高是(&nbsp;&nbsp;&nbsp;)厘米。&nbsp;</span><span style=" font-family: ‘Times New Roman‘;"></span><br><br><span style=" font-family: ‘Times New Roman‘;">3</span><span style=" font-family: 宋体;">、圆柱的体积是</span><span style=" font-family: ‘Times New Roman‘;">75</span><span style=" font-family: 宋体;">立方厘米,高是</span><span style=" font-family: ‘Times New Roman‘;">15</span><span style=" font-family: 宋体;">厘米,底面积是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span style=" font-family: 宋体;">)平方厘米。</span></div><div><font face="宋体"><br></font><span style=" font-family: ‘Times New Roman‘;">4</span><span style=" font-family: 宋体;">、把一个圆形纸片剪开后,拼成一个宽等于半径,面积相等的近似长方形.这个长方形的周长是16.56厘米,原来这个圆形纸片的面积是(&nbsp;&nbsp;&nbsp;&nbsp;).</span><span style=" font-family: ‘Times New Roman‘;"></span><br><br><span style=" font-family: ‘Times New Roman‘;">5</span><span style=" font-family: 宋体;">、</span><span style=" font-family: 宋体;">大中小三个圆共同部分的面积是大圆面积的1/10</span><span style=" font-family: 宋体;">,是中圆面积的1/6</span><span style=" font-family: 宋体;">,小圆面积的1/2</span><span style=" font-family: 宋体;">,则三圆的面积比为(&nbsp;&nbsp;&nbsp;&nbsp;  &nbsp;)。</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">6</span><span style=" font-family: 宋体;">、</span><span style=" font-family: 宋体;">一个数由五个亿,三十九个万,七十四个百组成,这个数写作:(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;),省略万后面的尾数约是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)万,写成以亿做单位的数是(&nbsp;&nbsp;&nbsp;   &nbsp;&nbsp;&nbsp;)。&nbsp;</span></div><div><span style=" font-family: 宋体;"><br></span><span style=" font-family: 宋体;">7、圆柱体的底面直径和圆柱体的高都扩大3倍,那么该圆柱的侧面积扩大(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)倍。</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">8、把圆柱的侧面展开得到一个长18厘米、宽12厘米的长方形。这个圆柱的体积可能是(  &nbsp;)立方厘米,也可能是(  &nbsp;)立方厘米。(本题中的Л取近似值3)</span><br><br><span style=" font-family: ‘Times New Roman‘;">9</span><span style=" font-family: 宋体;">、把一根</span><span style=" font-family: ‘Times New Roman‘;">3</span><span style=" font-family: 宋体;">米长的木头平均截成</span><span style=" font-family: ‘Times New Roman‘;">2</span><span style=" font-family: 宋体;">段,表面积增加</span><span style=" font-family: ‘Times New Roman‘;">12.56</span><span style=" font-family: 宋体;">平方分米,这根圆柱体木头的体积是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span style=" font-family: ‘Times New Roman‘;">&nbsp;</span><span style=" font-family: 宋体;">)立方分米。</span></div><div><font face="宋体"><br></font><span style=" font-family: 宋体;">10、等底等高的一个圆柱和一个圆锥,体积的和是72立方分米,圆柱的体积是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;),圆锥的体积是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。</span><span style=" font-family: 宋体;"></span><br><br><strong><span style=" font-family: 宋体;">二、判断题。(对的在括号里打</span><span style=" font-family: ‘Times New Roman‘;">√</span><span style=" font-family: 宋体;">,错的打</span><span style=" font-family: ‘Times New Roman‘;">×</span><span style=" font-family: 宋体;">)</span></strong><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">1、一个圆柱体的底面直径是6分米,高也是6分米,那么这个圆柱的侧面展开图是一个正方形。(   )</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">2、两个圆柱体的侧面积相等,体积也相等。(   )</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">3、把一张长62.8厘米,宽31.4厘米的长方形纸卷成一个圆柱(接头处不计),这个圆柱的底面半径一定是10厘米。(   )</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">4、</span><span style=" font-family: 宋体;">两个半径不相等的圆,它们的周长与直径的比值也不相等。(&nbsp;&nbsp;&nbsp;)</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">5、一个圆柱和一个圆锥的体积相等,那么这个圆锥和圆柱一定等底等高。(&nbsp;&nbsp;&nbsp;&nbsp;)</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">6、</span><span style=" font-family: 宋体;">圆柱体的体积与圆锥体的体积比是3&nbsp;∶1。(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">7.&nbsp;圆柱体的底面直径是3厘米,高是9.42厘米,它的侧面展开后是一个正方形。(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;"><strong>三、选择题。</strong></span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">1、一个圆柱体和一个圆锥体的底面积相等,它们的高的比是3∶2,它们的体积比是(&nbsp;&nbsp;&nbsp;&nbsp;)。</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">A</span><span style=" font-family: 宋体;">、</span><span style=" font-family: 宋体;">2&nbsp;∶9&nbsp;&nbsp;&nbsp;B</span><span style=" font-family: 宋体;">、</span><span style=" font-family: 宋体;">9∶2&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;C</span><span style=" font-family: 宋体;">、</span><span style=" font-family: 宋体;">3∶1</span><span style=" font-family: 宋体;">  </span><span style=" font-family: 宋体;">D</span><span style=" font-family: 宋体;">、</span><span style=" font-family: 宋体;">4∶9</span><br><br><span style=" font-family: 宋体;">2、一个圆柱体和一个圆锥体的底面积相等,圆柱体的体积是圆锥体的体积的2倍。圆柱体的高是圆锥体高的(&nbsp;&nbsp;&nbsp;)。</span></div><div><span style=" font-family: 宋体;"><br></span></div><div><span style=" font-family: 宋体;">A、1/3</span><span style=" font-family: 宋体;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;B、2/3</span><span style=" font-family: 宋体;">&nbsp; &nbsp; &nbsp;C、1/6</span><br><br><span style=" font-family: 宋体;">3、一个正方体的棱长是6厘米,它的表面积和体积(&nbsp; )。</span></div><div><span style=" font-family: 宋体;"><br></span></div><div><span style=" font-family: 宋体;">A、表面积大于体积;&nbsp;&nbsp;B、一样大小;C、不能比较</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">4、做一节圆柱形通风管需多少铁皮,是求通风管的(&nbsp;&nbsp;&nbsp;)。</span></div><div><span style=" font-family: 宋体;"><br></span></div><div><span style=" font-family: 宋体;">A、侧面积&nbsp;&nbsp;&nbsp;&nbsp;B、表面积&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;C、体积</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">5、一个圆柱体的侧面积展开后是正方形,这个圆柱体底面的直径与高的比是(&nbsp;&nbsp;&nbsp;)。</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">A、1:2π&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;B、1:π&nbsp;&nbsp;&nbsp;C、π:1</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">6.&nbsp;把一团圆柱体橡皮泥揉成与它等底的圆锥体,高将(&nbsp;&nbsp;&nbsp;&nbsp;)。</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">A、扩大3倍&nbsp;&nbsp;B、缩小3倍&nbsp;&nbsp;C、扩大6倍&nbsp;&nbsp;&nbsp;D、缩小6倍</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;"><strong>四、列式计算。</strong></span></div><div><span style=" font-family: 宋体;"><br></span></div><div><span style=" font-family: 宋体;">1、已知圆柱的底面直径是4分米,高是直径的5倍,求它的侧面积和体积。</span><br><br><span style=" font-family: 宋体;">2、已知圆锥的底面周长是25.12厘米,高是30厘米,求它的体积。</span><br><br><strong><span style="font-family: 宋体;">五、</span><span style="font-family: 宋体;">解决问题。</span></strong><br><br><span style=" font-family: 宋体;">1、</span><span style=" font-family: 宋体;">一个长方体零件的高是3厘米,底面周长是28厘米,长和宽的比是4:3。这个长方体零件的体积是多少立方厘米?</span><br><br><span style=" font-family: 宋体;">2、</span><span style=" font-family: 宋体;">一个圆锥形麦堆,底面半径是2米,高是1.5米,如果把这些小麦装入一个圆柱形粮囤里,只占粮囤容积的4/9</span><span style=" font-family: 宋体;">。已知粮囤底面积是9平方米,粮囤的高是多少米?</span><br><br><span style=" font-family: 宋体;">3、</span><span style=" font-family: 宋体;">一个圆柱形水池,从里面量得底的周长是12.56米,深3米,这个水池最多能盛水多少立方米?如果在池底和池壁抹一层水泥,每平方米用水泥8千克,需水泥多少千克?</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">4、</span><span style=" font-family: 宋体;">1、有一张长方形铁皮,如图剪下阴影部分恰好能制成圆柱体,求这个圆柱体的表面积。&nbsp;(单位:cm)</span><span style=" font-family: 宋体;"></span><br><br><img src="//www.szxuexiao.com/uploadimages/2014/0308/201438223642.jpg?m=0.20428489125333726"><br><br><span style=" font-family: 宋体;">5、有一张长方形铁皮,如图剪下阴影部分制成圆柱体,求这个圆柱体的表面积.</span><span style=" font-family: 宋体;"></span><br><br><img src="//www.szxuexiao.com/uploadimages/2014/0308/201438223722.jpg?m=0.48299091728404164"><br><br><span style=" font-family: 宋体;">6、一个圆柱体木料,如果把高减少3分米,表面积就减少18.84平方分米,求减少部分的体积是多少?&nbsp;</span><span style=" font-family: 宋体;"></span><br><br><span style="font-family: 宋体;">7、一个正方体棱长是4分米,把它削成一个最大的圆柱,削去的体积是多少?</span><br><br><span style=" font-family: 宋体;">8、一个装有水的底面半径为20厘米的圆柱形小桶,内有一块直径为10厘米的圆柱形钢材浸在水中,当钢材从桶里取走后,桶里的水面下降了3厘米,求这段钢材的体积?</span><span style=" font-family: 宋体;"></span><br><br><span style=" font-family: 宋体;">9、一只装水的圆柱形玻璃杯,底面积是80平方厘米,水深8厘米.现将一个底面积是16平方厘米的长方体铁块竖放在水中后,仍有一部分铁块露在外面.现有水深多少厘米?</span><span style=" font-family: 宋体;"></span><br><br></div><div><img src="//www.szxuexiao.com/uploadimages/2014/0308/201438223841.jpg?m=0.7872490808367729"><br></div>