2016-2017学年北师大版小学六年级数学上册期末考试考点分析

<div style="text-align: center;"><font color="#ff0000"><strong>2016-2017学年北师大版小学数学六年级上册期末考试考点分析</strong></font></div><strong><div style="text-align: center;"><br></div><span><div style="text-align: center;"><strong>第一单元&nbsp;圆的认识</strong></div></span></strong><div><br></div><div><strong>判断:</strong></div><div><br></div><div>1、两个圆的周长相等,那么这两个圆的面积&nbsp;(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。<br><br>2、半径是2厘米的圆,其周长和面积相等。&nbsp;&nbsp;&nbsp;(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)<br><br>3、面积相等的两个圆,周长也一定相等&nbsp;。&nbsp;(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)<br><br></div><div><strong>填空:</strong></div><div><br></div><span>1、在边长为</span><span>6cm</span><span>的正方形中画一个最大的圆,这个圆的半径是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。在一张长</span><span>16</span><span>厘米,宽</span><span>8</span><span>厘米的长方形内画直径是</span><span>4</span><span>厘米的圆,这样的圆最多可画(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)个。</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><br><br><span>2、一个钟表的分针长</span><span>5cm</span><span>,从</span><span>1</span><span>时到</span><span>2</span><span>时,分针针尖扫过的面积是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><span>cm2</span><span>。</span><br><br><span>3、一个钟表的分针长</span><span>5cm</span><span>,这个钟表从</span><span>12</span><span>时走到</span><span>6</span><span>时,分针扫过的面积是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><span>cm2</span><span>。</span><div><span><br></span></div><div><span>A</span><span>、</span><span>78.5 &nbsp; &nbsp; B</span><span>、</span><span>19.625 &nbsp; &nbsp; &nbsp;C</span><span>、</span><span>117.75 &nbsp; &nbsp; D</span><span>、</span><span>471</span><br><br>4、一根圆木,它的横截面的周长是62.8厘米,则它的横截面积是多少平方厘米?&nbsp;<br><br><span>5、半圆的周长公式是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>6、把周长为</span><span>12.56</span><span>厘米的圆平均分成两个半圆,每个半圆的周长是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)厘米。</span><br><br></div><div><span>7</span><span>、周长相等时</span><span>,( &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)</span><span>的面积最大;</span><span>&nbsp;</span><span>面积相等时</span><span>,( &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)</span><span>的周长最小。</span><span>&nbsp;</span><br><br><span>8</span><span>、周长相等的正方形,长方形和圆,(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)的面积最大。</span><span>&nbsp;</span><br><br><span>9</span><span>、甲乙两只蚂蚁分别沿着边长为</span><span>2cm</span><span>正方形和直径为</span><span>2cm</span><span>的圆走一圈,它们的速度一样,(</span><span>&nbsp;</span><span>乙)先爬行完一圈。</span><br><br><span>10</span><span>、一个圆的半径扩大</span><span>2</span><span>倍,直径就扩大(</span><span>&nbsp;</span><span>)倍,周长就扩大(</span><span>&nbsp;&nbsp;</span><span>)倍,面积扩大(</span><span>&nbsp;&nbsp;</span><span>)倍</span><br><br><span>11</span><span>、圆的半径扩大</span><span>5</span><span>倍,周长扩大(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),面积就扩大(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)倍,圆周率(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>12</span><span>、大圆的半径是</span><span>4</span><span>厘米,小圆的直径是</span><span>4</span><span>厘米,大圆周长是小圆周长的(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)倍,大圆面积是小圆面积的(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)倍。</span><br><br><span>13</span><span>、一个圆的半径缩小</span><span>1/2</span><span>,面积就缩小(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br>14、<span>一个直径为</span><span>8</span><span>米的圆形花坛,要在花坛外围修一条</span><span>1</span><span>米宽的石头小路。</span><br><br><span>(</span><span>1</span><span>)石头小路的面积是多少?</span><br><br><span>(</span><span>2</span><span>)如果每平方米需要花费</span><span>100</span><span>元,修这条石头小路总共要花费多少钱?</span><br><br><br><div style="text-align: center;"><strong>第二单元&nbsp;百分数的应用</strong></div><div><br></div><div><strong>判断:甲比乙多25%,乙比甲少25%。(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)</strong></div><div><br></div><strong><span>考点</span><span>1</span><span>:百分数的概念,四个公式</span></strong><br><br><span>含有(</span><span>&nbsp;&nbsp;</span><span>百分号</span><span>% &nbsp;&nbsp;</span><span>)的数叫做百分数,百分数后面(不能带单位)</span><br><br><span>80</span><span>÷(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)=</span><span>80</span><span>%=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)成=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)填小数</span><br><br><span>今年小麦比去年增产了一成五,也就是增产(</span><span>&nbsp;15</span><span>)</span><span>&nbsp;%</span><span>,今年的产量是去年的(</span><span>&nbsp;115</span><span>)</span><span>%</span><span>。</span><br></div><div><br><span>2</span><span>、某班今早出勤</span><span>49</span><span>人,</span><span>1</span><span>人请病假,出勤率是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%。</span><br><br><span>3</span><span>、一车间</span><span>50</span><span>个工人生产零件,每人每天生产</span><span>10</span><span>个零件。</span><span>&nbsp;</span><span>结果只有</span><span>5</span><span>个不合格,这批零件的合格率是</span><span>&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><span>&nbsp;%</span><span>。</span><br><br><span>3</span><span>、有</span><span>400</span><span>吨小麦可以磨出面粉</span><span>340</span><span>吨,这种小麦的出粉率是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%</span><span>&nbsp;&nbsp;</span><br><br><span>4</span><span>、有</span><span>200</span><span>棵树,除</span><span>20</span><span>棵外全部成活,成活率是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><br><br><span>5</span><span>、</span><span>25</span><span>是</span><span>20</span><span>的(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%,</span><span>20</span><span>是</span><span>25</span><span>的(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%。</span><br><br><span>25</span><span>比</span><span>20</span><span>多(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%,</span><span>20</span><span>比</span><span>25</span><span>少(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%。</span><br><br><span>6</span><span>、六(</span><span>1</span><span>)班有</span><span>27</span><span>名男同学,</span><span>23</span><span>名女同学,女同学占全班人数的(</span><span>&nbsp;&nbsp;46 &nbsp;</span><span>)%。</span><br><br><span>7</span><span>、甲是乙的</span><span>2</span><span>倍,甲比乙多(</span><span>&nbsp;&nbsp;B </span><span>),乙比甲少(</span><span>&nbsp;A </span><span>)。</span></div><div><span><br></span></div><div><span>A</span><span>、</span><span>50% &nbsp;&nbsp;B</span><span>、</span><span>100% &nbsp;&nbsp;C</span><span>、</span><span>200%</span><br><br><span>8</span><span>、下面百分率可能大于</span><span>100</span><span>%的是(</span><span>&nbsp;&nbsp;C </span><span>)。</span></div><div><span><br></span></div><div><span>A</span><span>、出勤率</span><span>&nbsp;&nbsp;&nbsp;&nbsp;B</span><span>、合格率</span><span>&nbsp;&nbsp;&nbsp;&nbsp;C</span><span>、增长率</span><br><br><span>9</span><span>、某火车站国庆节这天正点到站的火车有</span><span>20</span><span>列,另有</span><span>2</span><span>列火车晚点,这天该车站的晚点率是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><span>A</span><span>、</span><span>10</span><span>%</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;B</span><span>、约</span><span>9.1% &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;C</span><span>、约</span><span>91</span><span>%</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;D</span><span>、无法确定</span><span>&nbsp;&nbsp;</span><br><br><span>10</span><span>、某火车站国庆节这天正点到站的火车有</span><span>18</span><span>列,另有</span><span>2</span><span>列</span><span>&nbsp;</span><span>火车晚点,这天该车站的正点率是(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)。</span><span>21</span><span>、一袋面粉吃掉</span><span>40</span><span>%后,还剩下</span><span>30</span><span>千克,这袋面粉共有(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)千克。</span><br><br><span>11、某合唱队有男生</span><span>25</span><span>人,女生</span><span>20</span><span>人(</span><span>1</span><span>)男生比女生多百分之几(</span><span>2</span><span>)女生比男生少百分之几?</span><br><br><span>12</span><span>、某工程原计划需要</span><span>80</span><span>万元,实际用了</span><span>60</span><span>万元,实际节约了百分之几?</span><br><br><span>13</span><span>、某汽车厂</span><span>12</span><span>月份实际生产</span><span>300</span><span>辆汽车,比计划多生产</span><span>60</span><span>辆,超产了百分之几?</span><br><br><strong><span>考点</span><span>2</span><span>:成数、折扣问题</span></strong><br><br><span>1</span><span>、稻谷,小麦等农作物的产量一般用</span><span>成数</span><span>表示,商家为了促销,往往会</span><span>打折</span><span>,这就是所谓的</span><span>折扣</span><span>。</span><br><br><span>2</span><span>、八成=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)折=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)填小数。</span><br><span><br></span></div><div><span>七五折=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)成=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)填小数。</span><br><br><span>3</span><span>、</span><span>8/10</span><span>=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)(填</span><span>“</span><span>小数</span><span>”</span><span>)=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><span>&nbsp;% </span><span>=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)(填</span><span>“</span><span>成数</span><span>”</span><span>)</span><span>&nbsp;</span><span>。</span><br><br><span>4</span><span>、商店促销,买三送一,其实就是打(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)折出售。</span><span>&nbsp;</span><br><br><span>5</span><span>、一块麦地,今年比去年增产一成五,就是说今年是去年</span><span>&nbsp;</span><span>产量的(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%。</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><br><br><span>6</span><span>、</span><span>2010</span><span>年,广西农村居民人均纯收入同比增长约一成四,</span><span>&nbsp;</span><span>也就是增长了(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%。</span><br><br><strong><span>判断:</span><span>一种商品打八折,就是降价</span><span>20</span><span>%。</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><span>&nbsp;</span></strong><br><br><span>7</span><span>、某乡今年苹果大丰收,产量达到了</span><span>3.6</span><span>万吨,比去年增产了二成,去年苹果的产量是多少万吨?</span><br><br><strong><span>考点</span><span>3</span><span>:关于</span><span>“</span><span>单位</span><span>1</span><span>”</span></strong><br><br><span>1</span><span>、关于单位</span><span>“1”</span><span>:</span><span>&nbsp;</span><span>①(的)字前面的量是单位</span><span>“1” </span><span>②(</span><span>&nbsp;&nbsp;</span><span>是、占、比、相当于</span><span>&nbsp;</span><span>)等词后面的量是单位</span><span>“1”</span><span>③知道单位</span><span>“1”</span><span>的用(</span><span>乘法×</span><span>),不知道单位</span><span>“1”</span><span>的用(</span><span>除法÷</span><span>&nbsp;</span><span>)。</span><br><br><span>2</span><span>、</span><span>100</span><span>比</span><span>80</span><span>多(</span><span>&nbsp;</span><span>)%,</span><span>80</span><span>比</span><span>100</span><span>少(</span><span>&nbsp;</span><span>)%。(</span><span>&nbsp;</span><span>)比</span><span>80</span><span>多</span><span>25</span><span>%,</span><span>80</span><span>比(</span><span>&nbsp;&nbsp;</span><span>)少</span><span>20</span><span>%。</span><br><br><span>3</span><span>、</span><span>5</span><span>比</span><span>8</span><span>少(</span><span>&nbsp;</span><span>&nbsp;&nbsp;</span><span>&nbsp;&nbsp;</span><span>)%,</span><span>8</span><span>比</span><span>5</span><span>多(</span><span>&nbsp;&nbsp;</span><span>&nbsp;&nbsp;</span><span>&nbsp;</span><span>)%。</span><span>&nbsp;</span><span>比</span><span>80</span><span>吨少</span><span>20</span><span>%的数是( &nbsp;</span><span>&nbsp;&nbsp;&nbsp;</span><span>),</span><span>20</span><span>千克比(</span><span>&nbsp;&nbsp;&nbsp;25</span><span>千克</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)轻</span><span>20</span><span>%。</span><br><br><span>4</span><span>、甲数是</span><span>50</span><span>,乙数是</span><span>80</span><span>,甲数是乙数的(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)%,乙数比甲数多(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%,甲数比乙数少(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)%。</span><br><br><span>5</span><span>水泵厂二月份生产</span><span>500</span><span>台水泵,三月份比二月份多生产</span><span>20%</span><span>,三月份生产( &nbsp;&nbsp;)台水泵。</span><span>&nbsp;</span><br><br><span>6</span><span>、富林小学今年毕业的有</span><span>184</span><span>人,比去年多</span><span>15</span><span>%,去年有(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)人毕业。</span><br><br><span>例题:一块甘蔗地,去年收甘蔗</span><span>5</span><span>吨,今年比去年增产两成,今年收甘蔗多少吨</span><br><br><span>7</span><span>、商店有一款衣服售价</span><span>34</span><span>元,比原价便宜</span><span>15</span><span>%,现价比原价便宜多少元?</span><br><strong><br><span>考点</span><span>4</span><span>:关于升价和降价</span></strong><br><br><span>1</span><span>、一种商品先降价</span><span>10</span><span>%,再涨价</span><span>10</span><span>%,商品的价格(</span><span>&nbsp;C </span><span>)了。</span><span>A</span><span>、不变</span><span>B</span><span>提高</span><span>&nbsp;C</span><span>、降低</span><br><br><span>2</span><span>、一种商品先涨价</span><span>10</span><span>%,后按九折出售,价格比原来(</span><span>B</span><span>)</span><span>A</span><span>高</span><span>B</span><span>低</span><span>&nbsp;C</span><span>相等</span><br><br><span>3</span><span>、定价为</span><span>25</span><span>元的文具盒,先降价到</span><span>80</span><span>%,然后又提价</span><span>20%</span><span>,现价与原价相比(</span><span>&nbsp;</span><span>)。</span><br><br><span>A</span><span>、价格不变</span><span>&nbsp;B</span><span>、原价高</span><span>&nbsp;&nbsp;C</span><span>、现价高</span><br><br><span>4</span><span>、一种</span><span>100</span><span>元的商品先降价</span><span>10</span><span>%,再涨价</span><span>10</span><span>%,现在的</span><span>&nbsp;</span><span>价格是()。</span></div><div><span><br></span></div><div><span>A</span><span>、</span><span>101 B100 C</span><span>、</span><span>99</span><br><br><strong><span>考点</span><span>5</span><span>:方程及其应用</span></strong><br><br><span>1</span><span>、①</span><span>75</span><span>%</span><span>X</span><span>+</span><span>30</span><span>=</span><span>54 &nbsp;</span><span>43%X+17%X</span><span>=</span><span>2.4&nbsp;</span></div><div><span><br></span></div><div><span>②</span><span>40%X</span><span>-</span><span>30%X</span><span>=</span><span>1200 &nbsp;</span><span>100</span><span>-</span><span>20%X</span><span>=</span><span>80</span><br><br><span>①</span><span>50%X</span><span>=</span><span>125 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><br><br><span>7</span><span>、一条路,甲修了</span><span>&nbsp;</span><span>四分之一</span><span>&nbsp;</span><span>,乙修了</span><span>30</span><span>%,还剩下</span><span>9</span><span>千米,这条路全长是多少?</span><br><br><strong><span>考点</span><span>6</span><span>:利息公式及其应用</span></strong><br><br><span>1</span><span>、利息=(</span><span>&nbsp;</span><span>)×(</span><span>&nbsp;</span><span>)</span><span>×(</span><span>&nbsp;</span><span>)</span></div><div><span><br></span></div><div><span>2</span><span>、存入银行的钱叫做(</span><span>&nbsp;</span><span> ),取钱时,银行多给的钱</span><span>叫做(  ),利息与本金的比值叫做(</span><span>&nbsp;&nbsp;&nbsp;</span><span>  )。</span><br><br><span>2</span><span>、小明把</span><span>5000</span><span>元存入银行,存期</span><span>2</span><span>年,年利率</span><span>2.52</span><span>%,小明可得利息(</span><span>&nbsp;252 &nbsp;</span><span>)元。到期时,一共可以取回</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)元。</span><br><br><span>3</span><span>、</span><span>2001</span><span>年,李叔叔买了</span><span>30000</span><span>元定期五年的国家建设债券,年利率为</span><span>3.14</span><span>%,他想用利息买这台电脑,够吗?</span><br><br><br><div style="text-align: center;"><strong>第三单元&nbsp;图形的变换</strong></div><br><strong><span>考点</span><span>1</span><span>:图形的变换</span></strong><br><br><span>1</span><span>、图形的变换有(</span><span>&nbsp; &nbsp; &nbsp; &nbsp;</span><span>)、(</span><span>&nbsp; &nbsp; &nbsp; &nbsp;</span><span>)</span><span>和(</span><span>&nbsp; &nbsp; &nbsp; &nbsp;</span><span>)三种。</span><br><br><span>2</span><span>、下面属于平移现象的是(</span><span>&nbsp; &nbsp;)</span></div><div><span><br></span></div><div><span>A</span><span>、钟表的指针滴答滴答地走</span><span>&nbsp;&nbsp;B</span><span>、滑滑梯</span><span>&nbsp;&nbsp;C</span><span>、滚铁环</span><br><br><span>3</span><span>、时针运动是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)现象,拉抽屉是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)现象。</span><br><br><span>4</span><span>、汽车在平直的公路上移动属于(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)现象,车轮运动属于(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)现象。</span><span>&nbsp;</span><br><br><span>5</span><span>、平移:要说清楚向什么方向、平移多少格。</span><br><br><span>旋转:要说清楚绕什么点</span><span>&nbsp;</span><span>、什么方向、旋转多少度。</span><br><br><strong><span>判断:</span><span>一个图形旋转后,它的方向和位置都变了,只是形状没有变。</span></strong><br><br><strong><span>考点</span><span>2</span><span>:比赛场次、找规律</span></strong><br><br><span>1</span><span>、有</span><span>8</span><span>人参加乒乓球比赛,如果每</span><span>2</span><span>个人之间比赛一场一共要赛(</span><span>&nbsp;&nbsp;&nbsp;</span><span>&nbsp;&nbsp;)场。</span><br><br><span>2</span><span>、某学校有</span><span>7</span><span>个班级参加篮球赛,如果每两个班级之间都进行一场比赛,一共要赛( &nbsp;)</span><span>&nbsp;</span><span>场。</span><br><br><span>3</span><span>、一次体育比赛中,有</span><span>10</span><span>名运动员,如果每两个运动员之间都要握一次手,一共握了(</span><span>&nbsp;&nbsp;</span><span>)次手。</span><br><br><span>4</span><span>、</span><span>16</span><span>名乒乓球选手进行单打淘汰赛,共进行( &nbsp;&nbsp;&nbsp;)场,才能决出最后的冠军。</span><br><br><span>5、找规律填数:</span><span>20</span><span>%</span><span>&nbsp;&nbsp;&nbsp;0.3 &nbsp;&nbsp;</span><span>&nbsp;( &nbsp;</span><span>)填百分数(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)填成数</span><span>&nbsp;</span><span>(</span><span>&nbsp;&nbsp;</span><span>)填折扣</span><br><br><span>6、找规律填数:</span><span>100</span><span>%</span><span>&nbsp;</span><span>、(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)填小数、</span><span>&nbsp;</span><span>、</span><span>&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)填百分数、(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)填成数</span><br><br><strong><span>考点</span><span>3</span><span>:起跑线</span></strong><br><br><span><strong>判断:</strong></span><br><br><span>1</span><span>、在短跑比赛中,运动员所在的起跑线的位置不一样,这不公平。</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>( )</span><span>&nbsp;&nbsp;</span><br><br><span>2</span><span>、在短跑比赛中,运动员所在的起跑线的位置不一样,这是因为跑道弯道的外圈要比内圈长一些。( &nbsp;)</span><br><br><span>3</span><span>、运动员跑步时,要经过弯道,弯道的外圈比内圈要(长一些</span><span>&nbsp;</span><span>),因此起跑线的位置是不一样的;处于</span><span>&nbsp;</span><span>弯道外圈的运动员,他的起跑线的位置要比弯道内圈的要(靠前)。 ( &nbsp;&nbsp;&nbsp;)</span><br><br><br><div style="text-align: center;"><strong>第四单元&nbsp;比的认识</strong></div><br><strong><span>考点</span><span>1</span><span>:生活中的比</span></strong></div><div><span><strong><br></strong></span></div><div><strong><span>(</span><span>1</span><span>)比的概念</span></strong><br><br><span>比号前面的数叫做比的(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),比号后面的数叫做比的(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),前项除以后项所得的商叫做(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><br><br><span>比的前项相当于除法中的(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),比的后项相当于分数中的(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。比的后项不能为(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>两个数(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),又叫做这两个数的</span><span>比</span><span>。</span><br><strong><br><span>考点</span><span>1</span><span>:生活中的比</span></strong></div><div><span><br></span></div><div><strong><span>(</span><span>2</span><span>)求比值</span></strong><br><br><span>1</span><span>、某班有男生</span><span>30</span><span>人,女生</span><span>24</span><span>人,男生人数与女生人数的比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),女生人数与全班人数的比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>2</span><span>、</span><span>2</span><span>分米:</span><span>1</span><span>米=</span><span>2</span><span>:</span><span>1</span><span>。</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>3</span><span>、如果</span><span>a</span><span>与</span><span>b</span><span>的比是</span><span>3</span><span>:</span><span>1</span><span>,那么</span><span>a</span><span>是</span><span>b</span><span>的</span><span>3</span><span>倍。</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><span>&nbsp;&nbsp;</span><br><br><span>4</span><span>、</span><span>24</span><span>:</span><span>8</span><span>化成最简单的整数比是</span><span>3</span><span>。</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>5</span><span>、</span><span>15</span><span>分:</span><span><span style="text-decoration:underline">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></span><span>时的比值是</span><span>1.5</span><span>。</span><span>&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>6、小芳身高</span><span>1</span><span>米,妈妈身高</span><span>165</span><span>厘米,小芳与妈妈的比是</span><span>1</span><span>:</span><span>165</span><span>。</span><span>&nbsp;</span><span>( &nbsp;&nbsp;&nbsp;&nbsp;)</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&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、</span><span>40</span><span>分:</span><span>0.6</span><span>时化简成最简比是</span><span>2</span><span>:</span><span>3</span><span>。</span><span>&nbsp;&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>8、大数与小数的比是</span><span>8</span><span>:</span><span>7</span><span>,大数比小数多。</span><span>&nbsp;&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>9、</span><span>3.6</span><span>千米:</span><span>2000</span><span>米化成最简单整数比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><span>&nbsp;</span><span>比值是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>1</span><span>0、与</span><span>0.25</span><span>:</span><span>0.45</span><span>的比值相等的比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>A</span><span>、</span><span>25</span><span>:</span><span>4.5 &nbsp; &nbsp; B</span><span>、</span><span>5</span><span>:</span><span>9 &nbsp; &nbsp; C</span><span>、</span><span>2.5</span><span>:</span><span>45</span><br><br><span>1</span><span>1、周长相等的正方形和圆,它们的面积之比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>A</span><span>、</span><span>π</span><span>&nbsp;</span><span>:</span><span>4 &nbsp; &nbsp; &nbsp; B</span><span>、</span><span>4</span><span>:</span><span>&nbsp;</span><span>π</span><span>&nbsp; &nbsp; &nbsp; &nbsp; C</span><span>、</span><span>1</span><span>:</span><span>1</span><br><br><strong><span>考点</span><span>1</span><span>:生活中的比</span></strong></div><div><span><br></span></div><div><span>(</span><span>3</span><span>)分数、小数、比、百分数、除法的互化。</span><br><strong><br><span>二、考点</span><span>2</span><span>:比的基本性质</span><span>&nbsp;</span></strong><br><br><span>1</span><span>、比的前项和后项(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)</span><span>&nbsp;</span><span>(</span><span>0</span><span>除外),它们的比值不变。</span><span>&nbsp;</span><br><br><span>2、小茗和小丽的年龄比是</span><span>6</span><span>:</span><span>7</span><span>,五年后,她们的年龄比不变。</span><span>&nbsp;</span><span>( &nbsp;&nbsp;&nbsp;)</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><br><span>3、比的前项乘以</span><span>5</span><span>,后项也要乘以</span><span>5</span><span>,比值才不变。(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>4、比的前项除以</span><span>5</span><span>,后项也要除以</span><span>5</span><span>,比值才不变。(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>5、比的前项乘以</span><span>5</span><span>,后项除以</span><span>5</span><span>,比值不变。</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>6、比值相等的两个比,它们的前项和后项分别相等。(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>7、比的前项和后项同时加上一个数,比值不变。</span><span>&nbsp;&nbsp;&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>8、把</span><span>4</span><span>:</span><span>5</span><span>的前项乘</span><span>5</span><span>,要使比值不变,比的后项应该</span><span>&nbsp;</span><span>加上(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>9、把</span><span>6</span><span>:</span><span>24</span><span>的后项减去</span><span>12</span><span>,要使比值不变,前项应该(</span><span>&nbsp;&nbsp;</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>&nbsp;&nbsp;</span><span>)。</span><br><br><span>1</span><span>0、把</span><span>3</span><span>:</span><span>2</span><span>的前项加上</span><span>9</span><span>,要使比值不变,后项应该 &nbsp;( &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。</span><br><br><span>1</span><span>1、如果甲:乙=(甲×</span><span>A</span><span>):(乙÷</span><span>4</span><span>),那么</span><span>A</span><span>=(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>12、在</span><span>4</span><span>:</span><span>15</span><span>的前项中加上</span><span>8</span><span>,后项必须加上(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),</span><span>&nbsp;</span><span>比值才不变。</span><br><span><br></span></div><div><span>A</span><span>、</span><span>30 &nbsp; &nbsp; &nbsp; &nbsp;B</span><span>、</span><span>8 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;C</span><span>、</span><span>15</span><br><br><span>13</span><span>、少儿图书馆有《少年报》和《文学报》共</span><span>30</span><span>份,它们的数量比不可能是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>A</span><span>、</span><span>1</span><span>:</span><span>2 &nbsp; &nbsp; &nbsp; &nbsp;B</span><span>、</span><span>1</span><span>:</span><span>3 &nbsp; &nbsp; &nbsp; &nbsp;C</span><span>、</span><span>2</span><span>:</span><span>3</span><br><br><span>13</span><span>、在</span><span>3</span><span>:</span><span>4</span><span>的后项中加上</span><span>12</span><span>,前项必须加上(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),比值才不变。</span><br><br><span>A</span><span>、</span><span>8 &nbsp; &nbsp; &nbsp; &nbsp; B</span><span>、</span><span>9 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;C</span><span>、</span><span>12</span><br><strong><br><span>考点</span><span>5</span><span>:三角形的内角度数比。</span></strong><span>&nbsp;</span><br><br><span>1</span><span>、一个三角形的三个内角度数之比是</span><span>1</span><span>:</span><span>2</span><span>:</span><span>3</span><span>,其中最大</span><span>&nbsp;</span><span>一个内角的度数是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)度,它是一个(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)三角形。</span><br><br><span>2</span><span>、一个三角形的三个内角度数之比是</span><span>3</span><span>:</span><span>2</span><span>:</span><span>5</span><span>,这三个内角分别是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)度,(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)度,</span><span>&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)度,它是</span><span>&nbsp;</span><span>一个(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)三角形。</span><br><br><strong><span>考点</span><span>6</span><span>:甲、乙、</span><span>x</span><span>、</span><span>y</span><span>、</span><span>a</span><span>、</span><span>b</span><span>等字母问题。</span></strong><br><br><span>1</span><span>、已知</span><span>&nbsp;A</span><span>=</span><span>B</span><span>,那么</span><span>A</span><span>与</span><span>B</span><span>的比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>A</span><span>、</span><span>4</span><span>:</span><span>3 &nbsp; &nbsp; &nbsp;B</span><span>、</span><span>3</span><span>:</span><span>4 &nbsp; &nbsp; &nbsp; &nbsp;C</span><span>、</span><span>1</span><br><br><span>3</span><span>、如果</span><span>a</span><span>与</span><span>b</span><span>的比是</span><span>3</span><span>:</span><span>1</span><span>,那么</span><span>a</span><span>是</span><span>b</span><span>的</span><span>3</span><span>倍。</span><span>&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>4</span><span>、甲数是乙数的&nbsp;</span><span>5分之四</span><span>,甲、乙两数的比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),比值是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>5</span><span>、</span><span>a</span><span>×1/2</span><span>=</span><span>b</span><span>÷</span><span>5</span><span>,</span><span>a</span><span>与</span><span>b</span><span>的最简单的整数比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>A</span><span>、</span><span>1</span><span>:</span><span>10 &nbsp; &nbsp; &nbsp; B</span><span>、</span><span>2</span><span>:</span><span>5 &nbsp; &nbsp; &nbsp; &nbsp; C</span><span>、</span><span>5</span><span>:</span><span>2</span><br><br><span>6</span><span>、甲数比乙数少</span><span>25</span><span>%,甲、乙两数的最简比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>A</span><span>、</span><span>3</span><span>:</span><span>4 &nbsp; &nbsp; &nbsp; &nbsp;B</span><span>、</span><span>4</span><span>:</span><span>3 &nbsp; &nbsp; &nbsp; &nbsp;C</span><span>、</span><span>1</span><span>:</span><span>4 &nbsp; &nbsp; &nbsp; D</span><span>、</span><span>4</span><span>:</span><span>1</span><br><br><span>7</span><span>、甲、乙、丙三个数的平均数是</span><span>12</span><span>,甲:乙:丙=</span><span>3</span><span>:</span><span>4</span><span>:</span><span>5</span><span>,甲是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),乙是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),丙是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>9</span><span>、甲数比乙数多</span><span>1/7</span><span>,甲数与乙数的比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><span>A</span><span>、</span><span>4</span><span>:</span><span>7 &nbsp;B</span><span>、</span><span>7</span><span>:</span><span>4 &nbsp;C</span><span>、</span><span>11</span><span>:</span><span>7 D</span><span>、</span><span>7</span><span>:</span><span>11</span><br><br><span>10</span><span>、有两堆煤,甲堆用去</span><span>1/3</span><span>,乙堆用去1/2</span><span>,剩下的正好</span><span>&nbsp;</span><span>相等,甲、乙两堆煤原来的质量比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span></div><div><span><br></span></div><div><span>A</span><span>、</span><span>3</span><span>:</span><span>2 &nbsp;&nbsp;&nbsp;B</span><span>、</span><span>2</span><span>:</span><span>3 &nbsp;&nbsp;</span><br><br><span>11</span><span>、甲比乙少</span><span>50</span><span>%,甲、乙两数的最简比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><strong><br><span>七、考点</span><span>7</span><span>:工程问题、速度路程问题。</span><span>&nbsp;</span></strong><br><br><span>1</span><span>、修一条路,甲队单独修</span><span>6</span><span>个月完成,乙队单独修</span><span>8</span><span>个月完成,甲乙两队工作时间的比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),工作效率之比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>2</span><span>、一项工作,甲单独做</span><span>4</span><span>小时完成,乙单独做</span><span>3</span><span>小时完</span><span>&nbsp;</span><span>成,甲乙两人工作时间的比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),工作效率之比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>3</span><span>、加工一批零件,师傅单独做</span><span>6</span><span>时完成,徒弟单独做</span><span>11</span><span>时完成,师徒两人的工作效率之比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span></div><div><span><br></span></div><div><span>A</span><span>、</span><span>6</span><span>:</span><span>11 &nbsp; &nbsp; &nbsp; B</span><span>、11&nbsp;</span><span>:</span><span>11 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;C</span><span>、</span><span>&nbsp;11</span><span>:</span><span>6 </span><br><br><span>4</span><span>、一项工作,甲单独做</span><span>8</span><span>小时完成,乙单独做</span><span>6</span><span>小时完成,甲乙两人的工作效率之比是</span><span>4</span><span>:</span><span>3</span><span>。</span><span>&nbsp;</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>5</span><span>、从学校到电影院,甲用</span><span>6</span><span>分,乙用</span><span>8</span><span>分,甲乙的速度之比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>6</span><span>、从学校到电影院,甲用</span><span>8</span><span>分,乙用</span><span>6</span><span>分,甲乙的速度之比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>7</span><span>、在六年级的口算比赛中,张明用了</span><span>10</span><span>分,李刚用</span><span>8</span><span>分完成,张明和李刚的口算速度的最简整数比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><span><br></span></div><div><span>A</span><span>、</span><span>10</span><span>:</span><span>8 &nbsp; &nbsp; &nbsp;B</span><span>、</span><span>8</span><span>:</span><span>10 &nbsp; &nbsp; &nbsp;C</span><span>、</span><span>5</span><span>:</span><span>4 &nbsp; &nbsp; &nbsp; D</span><span>、</span><span>4</span><span>:</span><span>5</span><br><br><span>8</span><span>、甲乙两人各走一段路,他们走的时间之比是</span><span>4</span><span>:</span><span>5</span><span>,速度之比是</span><span>5</span><span>:</span><span>3</span><span>,他们走的路程之比是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>A</span><span>、</span><span>3</span><span>:</span><span>4 &nbsp; &nbsp; &nbsp; &nbsp; B</span><span>、</span><span>12</span><span>:</span><span>15 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;C</span><span>、</span><span>4</span><span>:</span><span>3</span><br><strong><br><span>八、考点</span><span>8</span><span>:比的应用。</span></strong><br><br><span>1</span><span>、中国农历中的</span><span>“</span><span>冬至</span><span>”</span><span>是一年中白昼最短,黑夜最长的</span><span>&nbsp;</span><span>一天,这一天白昼与黑夜的时间比约是</span><span>3</span><span>:</span><span>5</span><span>,这一天白昼只有(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)小时。</span><br><br><span>2</span><span>、明明和亮亮的邮票的比</span><span>2</span><span>:</span><span>3</span><span>,两人共有</span><span>60</span><span>张邮票,明明有(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)张邮票,亮亮有(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)张邮票。</span><br><br><span>3</span><span>、明明和亮亮的邮票的比</span><span>2</span><span>:</span><span>3</span><span>,亮亮有</span><span>36</span><span>张邮票,明明有(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)张邮票。</span><br><br><span>4</span><span>、明明和亮亮的邮票的比</span><span>2</span><span>:</span><span>3</span><span>,亮亮比明明多</span><span>12</span><span>张邮票,</span><span>&nbsp;</span><span>明明有(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)张邮票,亮亮有(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)张邮票。</span><br><br><strong><span>八、考点</span><span>8</span><span>:比的应用。(一)已知总数和比</span><span>&nbsp;</span></strong><br><br><span>1</span><span>、六年级共有学生</span><span>360</span><span>人,男生与女生的人数之比是</span><span>5</span><span>:</span><span>4</span><span>,六年级的男生和女生各有多少人?</span><br><br><span>2</span><span>、学校运来</span><span>200</span><span>棵树苗,老师栽种了</span><span>10</span><span>%,剩下的按</span><span>5</span><span>:</span><span>4</span><span>:</span><span>3</span><span>分配给甲、乙、丙三个班,丙班分到多少棵树?</span><span>&nbsp;&nbsp;&nbsp;</span><br><br><span>3</span><span>、甲、乙、丙三个数的平均数是</span><span>60</span><span>。甲、乙、丙三个数的比是</span><span>3 </span><span>:</span><span>2 </span><span>:</span><span>1</span><span>。甲、乙、丙三个数各是多少?</span><br><br><strong><span>八、考点</span><span>8</span><span>:比的应用。(二)已知一个量和比</span></strong><br><br><span>4</span><span>、男工有</span><span>40</span><span>人,男工与女工的比是</span><span>4</span><span>:</span><span>5</span><span>,女工有多少人?一共有多少人?</span><span>&nbsp;</span><br><br><span>5</span><span>、一种什锦糖是由水果糖、奶糖、软糖按</span><span>5</span><span>:</span><span>3</span><span>:</span><span>2</span><span>混合而成的。</span><span>&nbsp;</span><span>如果先称出</span><span>15</span><span>千克的奶糖,水果糖与软糖各需多少千克?</span><span>&nbsp;</span><br><strong><br><span>八、考点</span><span>8</span><span>:比的应用。(三)已知相差数和比</span></strong><br><br><span>6</span><span>、六(</span><span>1</span><span>)班男生人数与女生人数之比是</span><span>5</span><span>:</span><span>3</span><span>,女生比男生少</span><span>16</span><span>人,全班有多少人?</span><br><br><span>7</span><span>、修路队修一条公路,已修的比没修的多</span><span>2500</span><span>米,已修的和没修的比是</span><span>8</span><span>:</span><span>3</span><span>,这条公路长多少米?</span><span>&nbsp;</span><br><strong><br><span>八、考点</span><span>8</span><span>:比的应用。(四)长方形和长方体</span></strong><br><br><span>8</span><span>、一个长方形的周长是</span><span>32</span><span>厘米,长和宽的比是</span><span>5</span><span>:</span><span>3</span><span>,那么它的面积是多少?</span><br><br><span>9</span><span>、一个长方形花圃的周长是</span><span>36</span><span>米,长和宽的比是</span><span>5</span><span>:</span><span>4</span><span>,这块花圃的面积是多少平方米?</span><br><br><span>10</span><span>、一个长方体饼干盒子的棱总和是</span><span>216</span><span>厘米,长、宽、高的比是</span><span>4</span><span>:</span><span>3</span><span>:</span><span>2</span><span>,这个长方体的体积是多少立方厘米?</span><br><br><strong><span>八、考点</span><span>8</span><span>:比的应用。(五)其他</span></strong><br><br><span>12</span><span>、王叔叔、李叔叔、刘叔叔三家共同在莲花村租了一套房子,共有三房一厅,每月要交物业管理费</span><span>210</span><span>元。</span><span>&nbsp;</span><span>这三家基本情况如下:</span><br><br><span>(</span><span>1</span><span>)你认为怎样分摊管理费比较合理?(至少提出两种方案)</span><span>&nbsp;</span><br><br><span>(</span><span>2</span><span>)选择一种分摊方案算一算,每户应付管理费多少元?</span><br><br><br><div style="text-align: center;"><strong>第五单元、统计</strong></div><br><strong><span>考点</span><span>1</span><span>:三种单式统计图和两种复式统计图。</span></strong><br><br><span>1</span><span>、三种统计图:</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)统计图</span><span>(表示数量的多少)、</span><span>&nbsp;&nbsp;</span><br><br><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)统计图</span><span>(表示数量多少、反映</span><span>增减变化</span><span>)</span><br><br><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)统计图</span><span>(表示部分与整体的关系)。</span><br><br><span>2</span><span>、</span><span>复式条形统计图</span><span>:用两种(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)来分别表示不同的类型。</span><br><br><span>复式折线统计图</span><span>:用两条不同的线来表示,</span><span>&nbsp;&nbsp;</span><span>一条用(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>),另一条用(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>3</span><span>、反映某城市一天气温变化,最好用(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)统计图,反映某校六年级各班的人数,用(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)统计图比较好,反映笑笑家食品支出占全部支出的多少,最好用(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)统计图。</span><br><br><strong><span>考点2</span><span>:三种单式统计图和两种复式统计图。</span></strong><br><br><span>4</span><span>、为了反映数量增减变化情况,应该选用(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)统计图。</span><br><span><br></span></div><div><span>A</span><span>、条形</span><span>&nbsp; &nbsp; &nbsp; &nbsp; B</span><span>、折线</span><span>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;C</span><span>、扇形</span><br><br><span>5</span><span>、要统计一个病人一天内的体温变化情况,应该选用(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)</span><br><br><span>A</span><span>、条形统计图</span><span>&nbsp; &nbsp; &nbsp;B</span><span>、折线统计图</span><span>&nbsp; &nbsp; &nbsp;C</span><span>、扇形统计图</span><br><br><span>6</span><span>、为了统计六年级</span><span>6</span><span>个班男生和女生的人数情况,最好用</span><span>(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)统计图。</span><br><br><span>A</span><span>、条形</span><span>&nbsp; &nbsp; &nbsp; B</span><span>、折线</span><span>&nbsp; &nbsp; &nbsp; C</span><span>、扇形</span><span>&nbsp; &nbsp; &nbsp; D</span><span>、复式条形</span><br><strong><br><span>考点</span><span>2</span><span>:数据世界(大数的乘法和除法)</span></strong><span><br></span><span><br></span></div><div><span>7</span><span>、资助</span><span>1</span><span>个失学儿童重返校园大约需要</span><span>200</span><span>元钱,如果</span><span>&nbsp;13</span><span>亿人每人节约</span><span>1</span><span>元钱,这</span><span>13</span><span>亿元大约可以资助多少个失学儿童?</span><br><br><span>8、一棵生长</span><span>5</span><span>年以上的大树才能生产</span><span>5000</span><span>双一次性筷子。</span><span>&nbsp;</span><span>如果我们每人每天浪费一双一次性木筷,</span><span>14</span><span>亿人一天浪费的木筷,大约要砍伐多少棵树?</span><br><br><strong><span>考点</span><span>3</span><span>:数字的用处(按规则编学号和身份证号码)</span></strong></div><div><span><br></span><span>1</span><span>、茗茗的学号是</span><span>201004272</span><span>,她说:</span><span>“</span><span>我是</span><span>2010</span><span>年一年级</span><span>4</span><span>班的</span><span>27</span><span>号学生,</span><span>2</span><span>代表女生。</span><span>”</span><span>按照这个规则,</span><span>&nbsp;200801211 </span><span>表示的是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>200602111</span><span>表示的是(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>2011</span><span>年一年级五班</span><span>22</span><span>号女同学的编号是(</span><span>&nbsp;</span><span>)。</span><br><br><span>2</span><span>、某学校为每个学生编号,设定末尾用</span><span>1</span><span>表示男生,用</span><span>2</span><span>表</span><span>&nbsp;</span><span>示女生。</span><span>200510451</span><span>表示</span><span>“2005</span><span>年入学的一年级十班</span><span>45</span><span>号同学,该同学是男生。</span><span>”</span><span>那么,</span><span>2011</span><span>年入学的一年级十一班</span><span>22</span><span>号女同学的编号是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>3</span><span>、某人的身份证号码是</span><span>610323196209232913</span><span>,此人出生于(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)年(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)月(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)日,性别是(</span><span>&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><span>4</span><span>、某人的身份证号码是</span><span>450981200002291222</span><span>,此人出生于(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)年(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)月(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)日,性别是(</span><span>&nbsp;&nbsp;&nbsp;&nbsp;</span><span>)。</span><br><br><strong><span>考点</span><span>4</span><span>:正负数</span></strong></div><div><span><br></span><span>1</span><span>、①</span><span>比</span><span>0</span><span>大的数字都是(正数),正数前面可以添上</span><span>“+”</span><span>号,</span><span>&nbsp;“+”</span><span>号可以省略。</span><br><span><br></span></div><div>②比0(小的数字)都是负数,负数前面有“—”号,&nbsp;“—”号不能省略。<br><br>③0既不是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;),而是(正数与负数)的分界。&nbsp;<br><br>2、观察温度计时,零上3摄氏度应记作(&nbsp;&nbsp;&nbsp;&nbsp;),零下3摄氏度应记作(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;),&nbsp;两者温差是(&nbsp;)。<br><br>3、去年除夕,北京最低气温零下5摄氏度,可以记作&nbsp;&nbsp;&nbsp;),最高气温9摄氏度,可以记作&nbsp;(&nbsp;&nbsp;&nbsp;&nbsp;),两者温差是()。<br><br>4、某市2011年10月1日的最低气温是12摄氏度,可以记作(&nbsp;&nbsp;&nbsp;&nbsp;),最高气温28摄氏度,可以记作(&nbsp;&nbsp;),两者温差是(&nbsp;&nbsp;&nbsp;)。<br><br>5、12月12日,北京的气温为-5~5°C,温差是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。<br><br>6、月球表面白天的平均气温是零上126°C,记作(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;),夜间的平均气温为零下150°C,记作(&nbsp;&nbsp;&nbsp;&nbsp;),白天与夜间的温差是(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。<br><br>7、如果汽车方向向右转60°,记作+60°,那么-50°表示汽车方向向(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)转50°。<br><br>8、笑笑向东走100米记作+100米,向西走50米记作(&nbsp;&nbsp;&nbsp;&nbsp;)。<br><br>9、笑笑向北走20米记作+20米,那么-50米&nbsp;表示(&nbsp;&nbsp;向南走50米&nbsp;)。<br><br>10、温度上升3°C,记作+3°C,温度下降5°C,记作(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。<br><br>11、正数与负数具有(&nbsp;&nbsp;相反&nbsp;&nbsp;)的意义。<br><br>12、如果-30表示支出30元,那么+200元表示(&nbsp;&nbsp;&nbsp;收入200元&nbsp;&nbsp;)。&nbsp;<br><br>13、河道中的水位比正常水位低0.2 m记作-0.2 m,那么比正常水位高0.5m,记作&nbsp;&nbsp;-0.5m&nbsp;<br><br>14、一物体可以左右移动,向左移动12m,记作&nbsp;-12m ,8m表示向(&nbsp;&nbsp;&nbsp;)移动(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)m。<br><br>15、世界上最高的珠穆朗玛峰比海平面高出8848米,如果这个高度记作+8848米,那么比海平面低155米的新疆吐鲁番盆地的高度,应记作(-155米),两者相差(9003&nbsp;)米。&nbsp;<br><br>16、如果电梯上升15层记作+15层,那么它下降6层应记作(&nbsp;&nbsp;&nbsp;)层。<br><br>17、如果把高于平均分5分,记作+5分,那么-6分表示的意思是(低于平均分6分&nbsp;)。<br><br><strong><span>判断:</span><span>一袋食盐的包装袋上写</span><span>&nbsp;“</span><span>净重</span><span>100g</span><span>+</span><span>5g”</span><span>净重可能达到</span><span>105g</span><span>。</span></strong></div><div><br></div><div>18、一袋食盐的包装袋上写&nbsp;“净重100g+5g”,意思是一袋食盐的净重应在(&nbsp;95g~105g)范围内是合格的。<br><br>19、小玉记录了她所在小组成员的身高情况:小玉158cm,小张162cm,小红163cm。如果把平均身高记为0cm,那么这3名同学的身高分别记为:小玉(&nbsp;&nbsp;&nbsp;),小张(&nbsp;&nbsp;),小红(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。<br><br><br><div style="text-align: center;"><strong>第六单元&nbsp;观察物体</strong></div><br><strong>考点1:搭一搭</strong><br><br>1、分别画出从正面、上面、左面看到的立体图形的形状。2、选出从正面、上面、左面看到的形状。<br><br><strong>考点2:观察的范围</strong><br><br>1、同样高度的物体,在同一光源下,离光源越近,这个物体的影子就越(&nbsp;&nbsp;&nbsp;&nbsp;),<br><br>离光源越远,这个物体的影子就越(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br><br>2、笑笑越靠近窗子,看到窗外的范围就越(&nbsp;&nbsp;)。3、人远离窗子时,看到窗外的范围(&nbsp;&nbsp;&nbsp;)。<br><br>3、观察一个正方体,一次最多能看到(&nbsp;&nbsp;3 &nbsp;)个面&nbsp;至少能看到(&nbsp;&nbsp;1 &nbsp;)个面。<br><br>4、茗茗爬得越高,看到的小轿车就越(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)。<br><br>5、小刚和小明的身高相同,可在一灯光下,小刚的影子却比小明的影子长,这是因为(小刚)离路灯远。<br><br>6、一天当中,在(&nbsp;&nbsp;&nbsp;&nbsp;)时,我们的影子最短。<br><br>7、一棵小树在太阳的照射下会有影子,在(&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;)&nbsp;&nbsp;时,小树的影子最短。<br><br><strong>考点3:看图找关系<br><br>考点4:成员间的关系</strong><br><br>&nbsp;<br></div>