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青岛版六年级下册数学第三单元比例课件备课讲稿.ppt

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1、,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,Company Logo,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,Company Logo,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,Company Logo,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,Company Logo,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五

2、级,单击此处编辑母版标题样式,Company Logo,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,Company Logo,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,Company Logo,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,Company Logo,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,Company Logo,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,

3、Company Logo,*,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,单击此处编辑母版标题样式,Company Logo,*,Add your company slogan,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,How do I incorporate my logo to a slide that will apply to all the other slides?,On the,

4、View,menu,point to,Master,and then click,Slide Master,or,Notes Master.,Change images to the one you like,then it will apply to all the other slides.,Company Logo,2.4 1.6,60 40,内项,外项,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Co

5、mpany Logo,指出下面比例的外项和内项。,4.52.7=10 6,6 10,=9 15,=,6 4,0.6,0.2,=,外项,外项,内项,内项,外项,内项,外项,内项,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,2.4 1.6,60 40,外项,内项,内项积是:,1.6 6096,外项积是:,2.4 40 96,2.4,40,1.6,60,Evaluation only.,C

6、reated with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,2.4 1.6,60 40,外项,内项,2.4,40,1.6,60,在比例里,两个外项的积等于两个内项的积。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,2.41.

7、6,6040,2.4,1.6,60,40,外项,外项,内项,内项,交叉相乘,2.4,40,1.6,60,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,2.4 1.6,6040,外项,内项,在比例里,两个外项的积等于两个,内项的积,这叫做比例的基本性质.,比例的基本性质.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Cl

8、ient Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,智慧城堡,加油啊!,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,0.52 ()(),0.5,5,0.2,2,2,5,1,2,3,5,3,4,()(),2,5,3,4,82540125,()()()(),试一试,5,0.2,1,2,3,5,8,1

9、25,25,40,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,应用比例的意义或者基本性质,判断下面的两个比能不能组成比例,69,和,912,所以:,69,和,912,不能组成比例,因为:,6 12 72,9 9 81,比例的意义:,因为:,6 9,912=,比例的基本性质:,所以:,69,和,912,不能组成比例,72,81,试一试,Evaluation only.,Created

10、with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,不能组成比例。,3、2、5、6,小游戏:任意说出四个10以内的自然数,,看看它们能不能组成比例。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,能组成,比例。,小游戏:任意说出四个

11、10以内的自然数,,看看它们能不能组成比例。,2、3、4、6,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,应用比例的基本性质,判断下面两个比能不能组成比例,63,和,85,因为:,6 5 30,3 8 24,所以:,63,和,85,不能组成比例,72,81,试一试,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Clie

12、nt Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,应用比例的基本性质,判断下面两个比能不能组成比例,0.22.5,和,450,因为:,0.2 50 10,2.5 4 10,所以:,0.22.5,=,450,能组成比例,10,=10,试一试,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,应用比例的基本

13、性质,判断下面两个比能不能组成比例,和,因为:,所以:,=,能组成比例,=,试一试,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,应用比例的基本性质,判断下面两个比能不能组成比例,1.2,和,5,因为:,1.2 5 6,所以:,1.2,和,5,不,能组成比例,6,试一试,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Cl

14、ient Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,比例的意义,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004

15、-2011 Aspose Pty Ltd.,Company Logo,你知道国旗的长和宽吗?,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company

16、Logo,长2.4m,宽1.6m.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,长60cm,宽40cm.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,长15cm,宽10cm

17、.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,我们来看看学校里的两面国旗的长宽的比值有什么关系.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,操场上的国旗:2.4:1.6

18、=,教室里的国旗:60:40=,2.4m,1.6m,40cm,60cm,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,2.41.6,求出它们的比值,你发现了什么?,6040,或,表示两个比相等的式子叫做,比例,。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyrig

19、ht 2004-2011 Aspose Pty Ltd.,Company Logo,1510和6040能组成比例吗?你是怎样判断的?,判断两个比能不能组成比例,要看它们的比值是否相等,。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,15:10=,60:40=,15:10=,60:40,Evaluation only.,Created with Aspose.Slides for.NE

20、T 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,5:=,15:10=,5:=,15:10,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,5:=,60:40=,5:=,60:40,Evaluation only.,Created with Aspose.Slides for.NE

21、T 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,比,46,比例,23,46,Company Logo,比和比例有什么区别?,由两个数组成,是一个式子,,表示两个数相除。,由四个数组成,是一个等式。,表示两个比相等的式子。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,智慧城堡,加油啊!,Evaluati

22、on only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,判断下面的两个比能不能组成比例,69,和,912,所以:,69,和,912,不能组成比例,因为:,6 9,912=,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Compa

23、ny Logo,判断下面的两个比能不能组成比例,610,和,915,所以:,610,和,915,能组成比例,因为:,6 10,915=,=,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,判断下面的两个比能不能组成比例,205,和,14,所以:,205,和,14,不,能组成比例,因为:,20 5,14 =,4,4,Evaluation only.,Created with Aspose.

24、Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,判断下面的两个比能不能组成比例,和,64,所以:,和,64,能组成比例,因为:,64=,=,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,判断下面的两个比能不能组成比例,0.60.2,和,所以:0.6,0

25、.2,和,能组成比例,因为:,0.6 0.2 ,=,=,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,用比例解决问题,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,我们家上个月

26、用了8吨水,水费是12.8元.,我们家用了10吨水.,李奶奶家上个月的水费是多少元?,张大妈,李奶奶,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,每吨水多少元?,12.88=1.6(元),10吨水多少元?,1.610=16(元),先算出每吨水的价钱,再算出10吨水的钱.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 C

27、lient Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,因为每吨水的价钱一定,所以水费和用水的吨数成正比例.也就是说,两家的水费和用水吨数的的比值相等.,也可以用比例的方法解决.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,解:设李奶奶家上个月的水费是,X,元.,12.8,8,=,X,10,8,X

28、,=12.810,X,=16,12.810,8,X,=,答:李奶奶家上个月的水费是16元.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,我们家上个月用了8吨水,水费是12.8元.,王大爷家上个月用了多少吨水?,张大妈,王大爷,我上个月的水费是19.2元.,李奶奶,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Clien

29、t Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,每吨水多少元?,12.88=1.6(元),19.2元可以用多少吨水?,19.21.6=12(吨),先算出每吨水的价钱,再算出19.2元可以用几吨水?.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,解:设王大爷家上个月用水,X,吨.,12.8,8,=,

30、19.2,X,12.8,X,=19.28,X,=12,19.28,12.8,X,=,答:王大爷家上个月用水12吨.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,这批书如果每包20本,要捆18包.,如果每包30本,要捆多少包?,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,

31、Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,因为书的总数一定,所以包数和每包的本数成反比例.也就是说,每包的本数和包数的乘积相等.,也可以用比例的方法解决.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,解:设要捆,X,包.,30,X,=2018,X,=12,2018,30,X,=,答:要捆12包.,Evaluation only.

32、,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,这批书如果每包20本,要捆18包.,如果要捆15包,每包多少本?,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,解:设每包,X,本.,15,X,=2018,X,=

33、24,2018,15,X,=,答:每包24本.,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,(1)设要求的问题为x;,(2)用正比例或反比例的意义判断题中的两种量成正比例还是成反比例关系;,(3)列比例式;,(4)解比例,验算,作答。,用比例解这类问题的过程可以归纳为以下几个步骤:,Evaluation only.,Created with Aspose.Slides for.NET

34、 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,智慧城堡,加油啊!,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,数学诊所,1、,比例尺一定时,图上距离和实际距离成正比例.(),2、,圆的周长公式中当,C,一定时,与,d,成反比例,.(),3、,速度与路程成正比例。(),4、,y

35、8x(x不是0),y和x成正比例。(),Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,500千克的海水中含盐25千克,120吨的海水含盐几吨?,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Compan

36、y Logo,华南服装厂3天加工西装180套,照这样,计算,要生产540套西装,需要多少天?,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,用同样的砖铺地,铺18平方米要用618块。如果铺24平方米,要用多少块砖?,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyri

37、ght 2004-2011 Aspose Pty Ltd.,Company Logo,一堆煤,原计划每天烧3吨,可以,烧96天,由于改进炉灶,每天烧2.4,吨,这堆煤实际可以烧多少天?,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,成正比例的量,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile

38、5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,底面积/c,300,250,200,150,100,50,体积/cm,12,10,8,6,4,2,高度/cm,3,25,25,25,25,25,25,杯子都是相同的,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,底面积/c,300,250,200,150,100,50,体

39、积/cm,12,10,8,6,4,2,高度/cm,3,25,25,25,25,25,25,1、水的体积和高度有关系吗?,2、水的体积是怎样随着高度变化的?,3、水的体积和高度的变化有什么规律?,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,高是2,体积是50;,高是4,体积是100;,高是6,体积是150;,高是8,体积是200;,体积随着高的变化而变化。像这样的两个量我们把它叫做,相

40、关联的量,。,高,度增加,,,体积也增加。,高,度减少,,,体积也减少。,1、水的体积和高度有关系吗?,2、水的体积是怎样随着高度变化的?,25,25,25,25,25,25,底面积/c,300,250,200,150,100,50,体积/cm,12,10,8,6,4,2,高度/cm,3,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,水的体积和高的比值总是一定的,都等于25,50,2,

41、25,100,4,25,150,6,25,体积,高,底面积,(一定),3、水的体积和高度的变化有什么规律?,25,25,25,25,25,25,底面积/c,300,250,200,150,100,50,体积/cm,12,10,8,6,4,2,高度/cm,3,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,(1)水的体积随着高度的变化而变化;水的体积和高度是相关联的量。,(2)水的高度增加

42、,体积也增加;水的高度减少,体积也减少;,(3)水的体积和高的比值总是一定的,都是25。也就是,25,25,25,25,25,25,底面积/c,300,250,200,150,100,50,体积/cm,12,10,8,6,4,2,高度/cm,3,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,数量/个,1,2,3,4,5,总价/元,35,70,105,140,175,Company Logo,买排球的数量和总价如

43、下表,1、排球的总价和数量有关系吗?,2、排球的总价是怎样随着数量变化的?,3、排球的总价和数量的变化有什么规律?,排球的总价随着数量变化,排球的总价和数量是相关联的量。,排球的数量增加,排球的总价也增加。排球的数量减少,排球的总价也减少。,排球的总价和数量的比值总是一定的,也就是,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,两种相关联的量,一种量变化,另一种量也随着变化,如果这两种

44、量中相对应的两个数的比值(也就是商)一定,这两种量就叫做,成正比例的量,,它们的关系叫做,正比例关系,。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,两种相关联的量,,一种量变化,另一种量也随着变化,,如果这两种量中相对应的两个数的比值(也就是商)一定,,这两种量就叫做成正比例的量,它们的关系叫做正比例关系。,相关联,能变化,商一定,Evaluation only.,Created

45、with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,一看是不是(),二看是不是(),三看是不是(),相关联,商一定,判定两个量是不是成正比例,:,能变化,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,我的收获,、(,水的体积,)和(

46、,高,)是相关联的量,,又是能变化的量,而且(,比值,)是一定的,,所以水的体积和高是(,成正比例,)的量。,、,排球的总价,和,数量,是相关联的量,又是能变化的量,而且,比值,是一定的,所以排球的总价和数量是,成正比例,的量。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,y,x,k,(一定),如果用字母x和y表示两种相关联的量,用k表示它们的比值(一定),正比例关系可以用下面的式子

47、表示:,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,智慧城堡,加油啊!,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,你猜我猜大家猜,轮船行驶的速度一定,行驶的路程和时间。,

48、判断下面每题中的两种量是不是成正比例,并说明理由,。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,你猜我猜大家猜,长方形的宽一定,长和它的面积。,长,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Co

49、mpany Logo,你猜我猜大家猜,小学生作文的单价一定,总价和订阅的数量。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,小新跳高的高度和他的身高。,你猜我猜大家猜,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pt

50、y Ltd.,Company Logo,你猜我猜大家猜,小麦每公顷的产量一定,小麦的公顷数和总产量。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright 2004-2011 Aspose Pty Ltd.,Company Logo,你猜我猜大家猜,书的总页数一定,已经看的页数和未看的页数。,Evaluation only.,Created with Aspose.Slides for.NET 3.5 Client Profile 5.2.0.0.,Copyright

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