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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,*,探索规律,一首唱不完的歌,1,只青蛙,1,张嘴，,2,只眼睛,4,条腿，扑通,1,声跳下水；,n,只青蛙（）张嘴,（）只眼睛,（）条腿,扑通（）声跳下水。,n,2n,4n,n,3,只青蛙,3,张嘴，,6,只眼睛,12,条腿，扑通,3,声跳下水；,2,只青蛙,2,张嘴，,4,只眼睛,8,条腿，扑通,2,声跳下水；,将乘法表填完整,9,9,18,27,36,45,54,63,72,81,8,8,7,14,6,18,5,25,4,16,3,9,2,4,8,14,1,3,1,2,3,4,5,6,7,8,9,将乘法表填完整,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,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,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,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,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,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,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,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,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,探,索,数,与,数,之,间,的,规,律,9,9,18,27,36,45,54,63,72,81,8,8,16,24,32,40,48,56,64,72,7,7,14,21,28,35,42,49,56,63,6,6,12,18,24,30,36,42,48,54,5,5,10,15,20,25,30,35,40,45,4,4,8,12,16,20,24,28,32,36,3,3,6,9,12,15,18,21,24,27,2,2,4,6,8,10,12,14,16,18,1,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,1),如果用数字,“,1,”,表示正方形的大小。,2,）现在正方形的大小怎么表示？,3,）现在正方形的大小呢？,4,）接着画第,4,个？,2,2,3,3,4,4,探索数与图之间的规律：,1,1,5,）请描述第,10,个图形的样子？,6,）如果用,N,表示第几项数，用,X,表示图形的个数，你能用一个关系式来它们之间的规律吗？,X=NN,2,=N,探索数与图之间的规律：,3,，,5,，,7,，,(,),，,11,，,13,，,(,）,6,，,10,，,14,，（），,22,，,26,，（）,2,，,4,，,8,，（），,32,，,64,，（）,1,，,4,，,9,，（），,25,，,36,，（）,1,，,8,，,27,，（），,125,，（）,1,，,3,，,6,，,10,，（），,21,，（）,3,，,6,，,9,，,15,，,24,，,(,）,63,，,(,）,找规律，填一填。,9,15,18,30,16,128,16,49,64,216,15,28,39,102,六,(2),班同学按下面的规律为教室挂上气球。,第,20,个气球是什么颜色的？,第,27,个呢？请说明理由。,魔方的故事,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。,8,27,n,3,一批小球按下面的方法堆放,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。,15,36,搭三角形,用火柴棒按下图的方式搭三角形，填写下表,三角形的个数,1,2,3,4,5,n,火柴棒的根数,3,5,7,9,11,三角形的个数与火柴棒的根数之间有什么关系？,2n,1,按图中的方式继续排列桌椅，完成下表,桌子的张数,1,2,3,4,5,n,可坐人数,摆 桌 椅,6,10,14,18,22,桌子的张数与可坐的人数之间有什么关系？,想一想、议一议,课后探索,把一根绳子对折,1,次，然后从中间剪一刀，这根绳子被剪成多少段？对折,2,次呢？对折,3,次呢？你能运用规律计算对折,10,次被剪成的段数吗？,1,2,3,4,5,6,7,1,2,3,4,6,7,8,9,10,11,分割成了几块？,线与线之间有什么特点？,
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