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,*,角度的换算,1,自己动手,一定能行!,1,、分别画出,30,0,,,45,0,,,60,0,,,90,0,的角;,2,、你能画出,15,0,,,75,0,,,105,0,,,120,0,,,135,0,、,150,0,和,165,0,的角吗?画一画。,2,一,周角,=,2,平角,=,4,直角,=360,0,一,平角,=180,0,一,直角,=90,0,1,0,=60,/,1,/,=60,/,(读成,1,度等于,60,分,,1,分等于,60,秒 ),请你要牢记哟,!,3,例题,1,填空,(,1,),34.5,
2、=,/,(,2,),112.27,=,/,/,解:(,1,),34.5,=34,+0.5,=34,+0.5,60,/,=34,+3 0,/,=34,30,/,(,2,),112.27,=112,+0.2760,/,=112,+16.2,/,=112,+16,/,+0.260,/,=112,16,/,12,/,34,30,112,16,12,1,0,=60,/,1,/=,60,/,4,例题,2,把下列各题结果化成度,72,36,/,(2)37,14,/,24,/,解,:(1)72,36,/,=72,+36,/,=72,+(3660),=72,+0.6,=72.6,5,(2)37,14,/,24,
3、/,=37,+14,/,+24,/,=37,+14,/,+(24,60),/,=37,+14,/,+0.4,/,=37,+14.4,/,=37,+(14.460),=37,+0.24,=37.24,6,角度换算,724=,194221”=,262542”=,6518”=,29.34=,38.15=,72.17=,54.03=,7,例题,3,计算,(1)12,36,/,56,/,+45,24,/,35,/,解,:(1),原式,=(12+45),+(36+24),/,+(56+35),/,=57,+60,/,+91,/,=57,+61,/,+31,/,=58,+1,/,+31,/,=58,1,/,
4、31,/,8,(2)79,45,/,61,48,/,49,/,解,:,原式,=79,44,/,60,/,61,48,/,49,/,=78,104,/,60,/,61,48,/,49,/,=(78-61),(104-48),/,(60-49),/,=17,56,/,11,/,(3)21,31,/,27,/,3,解,:,原式,=(213,),(313),/,(273),/,=63,93,/,81,/,=63,94,/,21,/,=64,34,/,21,/,9,(4)63,21,/,39,/,3,解,:,原式,=(633),(213),/,(393),/,=21,7,/,13,/,(5)106,6,
5、/,25,/,5,解,:,原式,=(1065),(65),/,(255),/,=21,(,66,5),/,(255),/,=21,13,/,(,85,5),/,=21,13,/,17,/,10,练习:,(1)283938”+524356”,(2)525943”+7430”,(3)90-2812,(4)180-5732,(5)4839,3,(6)6731”54”,4,(7)721854”,3,(8)27463”,9,11,(1),在某天的,13:15,时,时针与分针的夹角是多少度?,13:54,时呢?,(2),从,13:15,到,13:54,时钟的时针和分针各自转过的角度又分别是多少?,12,如
6、图,直线,AB,、,CD,相交于,O,,,BOC=80,。,,,OE,是,BOC,的角平分线,,OF,是,OE,的反向延长线,(,1,)求,2,、,3,的度数;(,2,)说明,OF,是否平分,AOD,。,13,归纳:如何判定角平分线?,如图,下列条件中,只要满足任意一个,即可判断,OD,是,AOB,的角平分线,1.,AOD=,BOD,2.,AOD=1/2,AOB,3.,BOD=1/2,AOB,4.,AOB=2,AOD,5.,AOB=2,BOD,A,O,D,B,14,如图,OC是AOD的平分线,OE是BOD的平分线若AOB=130,,那么COE是多少度?,如图,,OC,是,AOD,的平分线,,O
7、E,是,BOD,的平分线,(1),若,AOB=130,COE,是多少度?,(2),在,(1),的条件下,如果,DOC=20,,那么,BOE,是多少度,15,如图,,OD,是,AOC,的平分线,,OE,是,BOC,的平分线。(,1,)如果,AOC=48,,,BOC=42,,求,DOE,的度数。(,2,)如图,AOB,的大小不变,与(,1,)相同,而射线,OC,在,AOB,的内部绕点,O,旋转,,DOE,的大小是否发生变化?若不变,请求出其度数。(,3,)如果,AOB,的大小仍不变,而射线,OC,在,AOB,的外部绕点,O,旋转(,AOC,不大于,90,),,OD,是,AOC,的平分线,,OE,是,BOC,的平分线,请画出相应的图形,此时,DOE,的大小是否发生变化?并说明理由。,16,