北师大版六年级数学下册《探索规律总复习1精》.ppt

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,（北师大版）六年级数学下册,观察是解决问题的先导,.,教学目标,1.,知识目标：引导大家探求给定的事物中隐含的规律或变化趋。,2.,能力目标：让大家体验经历探索规律形成的过程，加深对所学的数、图形的理解，发展大家观察、归纳、概括的能力。,3.,情感目标：引导大家进行知识的梳理，沟通知识之间的联系，体会知识与生活的联系。,.,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,;,.,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,x,f,d,s,h,.,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,.,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？,（,5,）请描述第,10,个图形的样子？,22,33,44,（,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？,探索数与图之间的规律：,X=NN,2,=N,.,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,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？,n,4n+2,.,桌子的张数,/,张,1,2,3,4,5,可坐人数,/,人,6,8,10,12,14,n,2n+4,桌椅的摆放方式不一样，,所呈现的规律也不同。,摆 桌 椅,.,1.,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。,你能发现下列图形的规律吗？,1,2,3,4,0,.,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,.,思考题,高斯的故事,1+2+3+100=,5050,你知道高斯是怎样算的吗？,等差数列求和公式,和（首项末项）,项数,2,.,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,.,历年相关考题,（,02,年）,一根绳子对折,3,次后，从中间剪开，可以剪成（）段绳子。,（,04,年）,数一数，图中共有（）条线段。,（,05,年）,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。,（,05,年）,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。,（,07,年）,a,只青蛙（）张嘴，（）只眼睛，（）条腿。,（,08,年）,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（）。,A,B,C,D,E,F,9,15,5,15,a,4a,2a,m-1,m+1,.,敬请指导！,.,