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,探索规律,返回,探索规律,总复习 正比例与反比例(,1,),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,0,北师大版 数学,六年级,下册,探索规律,总复习,复习导入,巩固练习,课后作业,知识梳理,北师大版 数学 六年级 下册探索规律总复习复习导入巩固,1,切的角度不同,还剩的角的多少,不同。,有一个方桌桌面,去掉一个角还剩()个角?,A.5,个角,B.4,个角,C.3,个角,脑筋,急转弯,B,C,复习导入,切的角度不同,还剩的角的多少不同。有一个方桌桌面,去掉一个角,2,答案可以是丰富多彩的,只要合情合理就行。,A.2,B.1,C.3,脑筋急转弯,树上有,3,只鸟,开枪打死一只,还剩(,),只?,我们可以从以下几个方面去思考:,可能鸟全被吓跑了,可能树上还有“小鸟”(不会飞的鸟),可能被打死的鸟还挂在树上,可能鸟没有听到枪声,D.0,B,C,D,答案可以是丰富多彩的,只要合情合理就行。A.2B.1C.3脑,3,知识梳理,1.,探索数与数之间的规律,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,知识梳理1.探索数与数之间的规律99182736455463,4,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,表格中的,8,是怎样得到的呢?,991827364554637281881624324048,5,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,横竖两个数相乘的积,991827364554637281881624324048,6,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,用同样的方法找一找,16,是怎样得到的?,991827364554637281881624324048,7,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,都是完全平方数,991827364554637281881624324048,8,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,这一组数对称,991827364554637281881624324048,9,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,都是,9,的倍数。,991827364554637281881624324048,10,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,都是,2,的倍数,991827364554637281881624324048,11,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,横向看,从左至右,每行除第一个数外,其余各数都是第一个数的倍数。,991827364554637281881624324048,12,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,横向看,从左至右,每行除第一个数外,依次加第一个数。,991827364554637281881624324048,13,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,横向看,从左至右,每列除第一个数外,其余各数都是第一个数的倍数。,横向看,从左至右,每列除第一个数外,依次加第一个数。,991827364554637281881624324048,14,2.,探索数与图之间的规律,22,33,44,11,正方形边长,/cm,1,2,3,4,n,正方形个数,/,个,1,4,9,16,n,2,2.探索数与图之间的规律22334411正方形边长/,15,按图中的方式继续排列桌椅,完成下,表。,桌子的张数,/,张,1,2,3,4,5,可坐人数,/,人,6,10,14,18,22,n,4n+2,桌子的张数与可坐的人数之间有什么关系?,按图中的方式继续排列桌椅,完成下表。桌子的张数/张1 2 3,16,按不同的方式排列桌椅,发现规律,完成下表。,桌子的张数,/,张,1,2,3,4,5,可坐人数,/,人,6,8,10,12,14,n,2n+4,桌椅摆放方式不一样,规律也不一样。,按不同的方式排列桌椅,发现规律,完成下表。桌子的张数/张1,17,你能发现下列图形的规律吗?,1,2,3,4,5,按,1,红,1,黄,2,红,1,黄,,5,个一组的顺序排列。,第,20,个气球:,205=4,,第,4,组最后一个,是黄色。,275=52,,第,5,组第,2,个,是黄色。,巩固练习,你能发现下列图形的规律吗?12345按1红1黄2红1黄,5个,18,第一,个图形由,1,个小正方体搭成;,第二,个图形由,个小正方体搭成;,第三,个图形由,个小正方体搭成;,由此,搭下去,第,n,个图形由,个,小正方体搭成。,你能发现下列图形的规律吗?,8,27,n,3,第一个图形由 1 个小正方体搭成;你能发现下列图形的规律吗?,19,你知道,第,n,堆,有多少个小球吗?,(1+n,),n 2,第,5,堆有(,),个小球,,第,8,堆有(,),个小球。,你能发现下列图形的规律吗?,一批小球这样堆放,1+2+3+4+5=15,1+2+3+4+5+6+7+8=36,你知道第n堆有多少个小球吗?(1+n)n 2 第5堆有(,20,1+2+3+100=,等差数列求和公式:和(首项末项),项数,2,你能发现高斯求和的规律吗?,每组是,100+1=101,(首项,+,末项),像这样的有,50,组,项数,2,5050,1+2+3+100=等差数列求和公式,21,快速,抢答。,(,1,)一根绳子对折,3,次后,从中间剪开,可以剪成()段绳子。,(,2,)数一数,图中共有()条线段。,(,3,)欣欣今年有(,a,5,)岁,毛毛今年有,a,岁,再过,x,年后,他们的年龄相差()岁。,(,4,)木工锯一根木料,若锯成,3,段,需,6,分钟,以同样的速度,若锯成,6,段,需要()分钟。,(,5,),a,只青蛙()张嘴,()只眼睛,()条腿。,(,6,)一个自然数用,m,表示,那么与它相邻的两个自然数分别是,()和()。,9,15,5,15,a,4a,2a,m-1,m+1,A,B,C,D,E,F,快速抢答。
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