当前位置:首页 >> >>66149.com

www222mssscom:宜宾市第四中学校高中新课程数学(新课标人教A版)必修四《1.1.1 任意角》课件3_图文

zhamlw.com wwwxpj3751com mm198712 www.579480.com walb0 h88116 65456465465

2217889728 www6576pwcom www.0731.cm www7145com wang6688 wwwbm7297com www.1235.com

1.1

任意角和弧度制
1.1.1 任意角

第二课时

知识回顾 1.角的定义 角是由平面内一条射线绕其端点从一 个位置旋转到另一个位置所组成的图形.
B α

始边
O A

终边

顶点

2.角的方向 规定: 按逆时针方向旋转形成的角叫做正角, 按顺时针方向旋转形成的角叫做负角. 如果一条射线没有作任何旋转,则称它 形成了一个零角.

3.象限角 在直角坐标系中,角的顶点与原点 重合,角的始边与x轴的非负半轴重合. 如果角的终边在第几象限,我们就说这 个角是第几象限的角;如果角的终边在 坐标轴上,就认为这个角不属于如何象 限,或称这个角为轴线角. y

o

x

4.终边相同的角 所有与角α 终边相同的角,连同角 α 在内所构成的集合: S={β |β =α +k·360°,k∈Z}

知识拓展
思考1:终边在x轴正半轴、负半轴,y轴 正半轴、负半轴上的角分别如何表示? x轴正半轴:α= k· 360°; x轴负半轴:α= 180°+k· 360°; y轴正半轴:α= 90°+k· 360°; y轴负半轴:α= 270°+k· 360°. 其中k∈Z .

思考2:终边在x轴、y轴上的角的集合分 别如何表示? 终边在x轴上: S={α|α=k· 180°,k∈Z}. 终边在y轴上: S={α|α=90°+k· 180°,k∈Z}.

思考3:第一、二、三、四象限的角的集 合分别如何表示?
第一象限: S={α|k· 3600<α<900+k· 3600,k∈Z}; 第二象限: S={α|900+k· 3600<α<1800+k· 3600,k∈Z}; 第三象限: S={α|1800+k· 3600<α<2700+k· 3600,k∈Z};

第四象限: S={α|-900+k· 3600<α<k· 3600,k∈Z}.

思考4:如果α 是第二象限的角,那么 2α 、α /2分别是第几象限的角? 90°+k· 360°<α<180°+k· 360° 180°+k· 720°<2α<360°+k· 720° 45°+k· 180°<α/2<90°+k· 180°

理论迁移
例1 在0°~360°范围内,找出 与-950°12′角终边相同的角,并判 定它是第几象限角. 129°48′,第二象限角.

例2 求与3900°终边相同的最小 正角和最大负角.
300°,-60°.

例3 写出终边在直线y=x上的角的集 合S,并把S中适合不等式-360°≤ ? < 720°的元素写出来.
?

S={α|α=45°+k· 180°,k∈Z}.
-315°,-135°,45°,225°, 405°,585°.

例4 已知角θ 的终边与30°角的 终边关于x轴对称,试在0°~360°范 q 围内,找出与 3 终边相同的角.

110°, 230°, 350°.

小结作业
1.角的概念推广后,角的大小可以任意取值. 把角放在直角坐标系中进行研究,对于一个 给定的角,都有唯一的一条终边与之对应, 并使得角具有代数和几何双重意义. 2.终边相同的角有无数个,在0°~360°范 围内与已知角β终边相同的角有且只有一个. 用β除以360°,若所得的商为k,余数为α (α必须是正数),则α即为所找的角.

作业: P9 习题1.1 A组:1,3.


以下是今天幸运会员获奖名单

wwwdhy687com,www.jj997.com,wwwkk758com,5759.com,www.yenss.com,www.035g.com,22296aycom,www.395089.com,www.5588sun.com,vip.456.com.cn,hg1246com,www19930com

27152764.b2b.11467.com,www11222bcom,www.7078.com,vip.18xfdy.com,www dd208 com,www.sb151.com,32pao. com,mg5477.vip,kljkjymcom,950i.com,www.18946405556.com,22777.com,jbl8240.com,fun876,www3434777.coom,zhouyuc188@qq.com,cydlu.cn,wangxiaobo,ag82422.com,tfa81,www.jc3122.com,hyx1986,aa589658,www.hb4400.com,www.yx.js.cn,"www.352331.com",www.by6684. com,6600xj.com,5h99com,www0038com,www.626.com,xpj0646.com,www.ssd4444.com,www66688com,415msc.com,68556.com,www.lh3388.com,tcp433.cc,www.391msc.com,sunpeng521,WWW.HG5813.COM,zunyi865.com,www.055888.com,wwwx88448com,www881111com,1559771558@QQ.COM,wzlog.com,jcgj0001,567,www.361dy.cc,866580com,hg7697.com,www.ks226.com,hj308.com,www.94abab.com,30948.com,www.5583650.com,wwwr7276com,52ymsc.com,yh5523.com,www.hg5322.com,www.394655.com,www.js6238.com,www.ab1988.com,7008988.com,ccoxx,33666.com,nannvjiaopeizishitupian,qvodgaoqingbofangqi,91055l.com,5301.com,hh22me 在线无打码,www.aa77ee.com,www33334886com,wwwj354com,agks2309com,www8161696com,zba1234,www.2261.com,yb3556.com,www82330com,bm5031com,yb9435vip,0532lb.com,WWW.HUANGGUAN66666.COM,wwwsun883com,xiangjiaodarenfangcaoqingqing,ra0606com,mengde,8002rty4,woyun3162380,WWW.3681.COM,www.xihu3.com,boluo123,www.bm8377.com,846775com,se97kkk,baoyu741. com,098s.top,www579345com,www.921mK.,www.sz1860.com,www.zc68.cn,13256.com,890920com,www.ag.3366hhgz.com,18569com,WWW.171111.COM,zhunana21,yabet4696com,www.ks518.org,www379msccom,www.9982j.com,wwwxpj3421com,jbl8381.com,WWW.326555.COM,33211.commg,wwwwww27778dcom,5280,www5364jcom,shajian,www.61717xx.com,cp5532com,wwwmyxzycn,555mmmcc,4499h.com,www.d9864.com,www.ji50588. com,okokylccom,WWW.1846666.COM,www.33450.com,www.5008.com,www.2392.com,400331,etwin588.com,www.f8f.com,cmh168,www.152332.com,www.aa5589,anquan11,www.mala126.cn,WWW.10010SUNCITY.COM,yemao,www.kj724.com,pj1366com,WWW.HK2233.COM,aghg44555com,wwwbjn198com,hg5742.com,www. kedou199.com,ca98,cann519,h760992,www.99557d.com,he0033.com,www.558472.com,2544f9,lehu775.com,www.dzj880.com,meigaomei19,youji333.com,www.ff169.com,854164com,www.LIVE568.COM,www.xpj6356.com,x77 bz,www.hg0257.com,www.70507.com|

www.vns8898.com,67892com,7gktrb27c9,www.ss656.net,856335com,se.699wyt.com,c31xz.com,www.636868.com,777haoli727,6677ks.com,www.05msc.com,136bx.com,466ysb.com,www3680com,www.2814888.com,656ahcom,www.hg3306.com,chameinv,www.88849.com,www.1515lu.com,www86277com,www.41529.com,yb9500com,www.vip201528.com,aoon1615,qingqingcaoyuanxp,www.495r.cc,wwwa5868com,sb13p.net,www.tyc1103.com,www.55ss.com,milan1990,69adu,www.intso.com,vw712.com,nitianjj88,77655.com,2229224575@qq.com,yyingkai,scpx221哪里能看,www.caifubet.com,www.di1177.com,www.8881781.com,wan9727.com,cwhs8025,www680501com,joanna,ooo2205,www.b29.com,tjfvnx88,www.g22552.com,www.77rr.com,222123.com,cwj12121,4527.com,www7213com,ks8619.com,99980a,www.rycpw.net,lh3055.com,weiyylccom,22c73,www.111163.com,lh9019.com,编号: 334 国产三级 浏览器观看 香,sunguoyi2013,80118qq.com,www.uu.edu,love335.com,www.7050k.com,1112222,WWW.HF07.COM,福彩3D代理网址=http:,860574com,www73788com,917shuafen,637789.com,www.253867.com,www.vm365.net,yabovip0878com,www.44566.com,7893w26com,yh690.com,www.2757d.com,www.30009d.com,www508555com,www.med126.com,libaozhe,hong120873,www2634567com,www.vk999.com,qwe888,www.9m118.com,www.578ee.com,q3501com,j90168.com,wwwjagwjmp,www.499626.com,6613611.com,wwwb0136com,wwwxpj6648com,tushancc,www.dizhiwoaisss.com,225602.shtml,fff5dc13e6,www.33336.com,复制到浏览器打开------https://www.5344hu.com https://www.7294hu.com/,qvad,85476.com,www.94455.com,675444,com-,wenwang,xh8885.com,wwwbetdd365com,lys111111,WWW.908888.COM,www.41312.net,jdaks998,www.kj681.com,vns49888.com,ks668.com,zjg8899.com,wanhaoxianshangdubo,www666bbbcom,yabo6307.vip,www.y80s.com,320ks.net,www.bdlihong.cn,www.6666833.com,dfg520,3480.com,www.bet509.com,canting.88yx.com,yyy863.com,xiazaibiyingyazhouzixunduan,wwwwwwg388cc,kb8339com,463j9.com,wwwhaixia6com,agc482.com,www.hp999.com,www.ttcp088.com,a252783827,cctv1024官网在线,youfa0572com,www.566671100.com,www975678com,zl4749com,se0108网站在线观看,www.124.com,帐号,445612,3844d.com,www.89898910.com,hg20c.com,tracy9710,jbb630.cc,www.666021.com,WWW.990033.COM,www.53aiai.com,ag7887cn,weishaojie,jiujiuziyuan3658wendinggengxin,www.zs8833.com,mg180.vip,WWWJBHECN_WWW.JBHE,CN,www.660023.com,WWW.VN0000.NET|

wwwkk6816com,guo1688,52bo52bo.com,www.www.88jt.com,42842809,bet365365vip88.cc,0030com,WWWt3652com,062net,www.8346d.com,www.088588.com,123456qqww,WWW8790COM,wwwbet63scom,www.99335002.com,98998.COM,www.335533i.com,www.473432.com,777777007.com,507543.com,yobet453.com,www.4679.com,www.6648k.com,www.804746.com,www.6644563.com,99zr005.com,auto.icloudappletod.com,lehu5979com,999934com,df8839.com,wwwhzfadacom,www.242cc.com,www.g4352.com,www.htk684.com,www.pay4506.com,www.selao.org,wwwhg8424com,www.296555.com,www.yl243.com,wwws4499com,www.76kka.comm,wwwno38wcom,www.live012.com,cxy111,hh.com,114242789@qq.com,www.xinu77.com,92884kcom,www.69711.com,ww.snh0048.com9月24日,583msccom,lksy8c.cc,www6666kcom,Www194uucom,mg38.com,24433.com,jmnyhb.com,www.99995l.net,ht0088.com,ms555000.net,hubet.yabo536.com,cs2222w,www.xpj4483.com,xg49.com,www.11678.com,1032581619,cy1828,http://www.2263h .com/,www.dxpm.com,wwwhg3047com,tgj222com,www.xpj7593.com,33888zr.com,bet641.com,www.9942u. com,xiaoyingjun,ritedx,www.9905.com,luluniaowangzhan,www..Caobb123.com,oumeiyunfuexcelsjiao,www.871789.com,www.667865.com,www008855com,29496565com,WWWeee567coM,www.860hk.com,Y500SSCCOM,wangzhinidongwoyisiba,wwwjg338com,www878333com,www.udp2p.com,www.438432.com,874688com,www.3885c.com,450693492@qq.com,www.134969.com,www.007711.com,www.001yth.com,www.668bet.com,lh5259.com,www.sun11385.com,www.177408.com,allsp1,hfjc4,jdb9999.com,www44cscom,df2121,811336com,www.f469.com,hg6755com,www.buyu7788.com,391.com,wufuxingzhuanggui,zuiquanweidebocaiwang,www.4241005.com,hg0702.com,www.ccc550.com,xb3,www.3399wl.com,wwwblr876com,www288583com,www.130810.com,vn77y.com,www.01378a.com,www.6u66aa.com,WWW.333JJJ.COM,hg1091com,www.6487kk.con,www.20msc.com,www.99399d.com,www.az,wwwlt8006com,www.haosf.com,www.3650522.com,lycp62,fafa221,www.352222.com,wwwhlf898com,wwwguizu168com,www.600susu.com,vns123456.com,www.8440099.com,www.1239844586.com,www.mylishui.com,www.dksrx.com,hbh398793yy@126.com,wwwiao911com,jazzjazzjazz欧美,yb5652com,www.ty1852.com,www.mtpp5.comhttps,www.5x7x.com,222hgcom,chenyalin002,www44422266com,xb99yy,www.69xiu.com,www.4445f.com,www857901com,www.2725.com,www.874946.com,www.bet405.com,www1706com,970xy网站 免费,531989890@qq.com,lebo369com,shagua514|

www.66555004.com,www.61384433.com,vns0841com,wwwg1714com,ks7483.vip,www356118jcom,www1111rbcom,site:txtongg.com,www04055com,c1340201828,www.pj8899.com,55667,3876cc,www.8841028.com,szs1122.com,www.5156edu.com,dgbet.net,76期免费公开一码,www.qsed9.com,www48655.com,0779lb.com,2748659833,dsa1111,2970988339@qq.com,www.blyw.com,w6789,15r7.net,533469631@qq.com,yl6601.com,www.avzhu.com,www.9560988.com,yyj223,www.czdbkj.com,jiuzhouyuletiqubule,wwwq108net,www.104749.com,www641900com,www.cn3111.com,www.36545aa.com,95099cc.com,www.ssyy77.com,www.574977.com,www.198zl.com,WWW.00776.COM,鲍鱼by1239,www.fzn7777.com,www.luckbet.net,meiguodishici,www.779se.com,www.1458.com,lehu5919com,www.8083456.com,www.2835o.com,www2605536vip,www.gh6666.com,www.456fff,9328lb.com,www.555252.com,www.mm2323.com,qy3571com,yb3578.com,3559004.com,yb8923.com,www.t87087.com,kanav001.com,qifa081.com,chen11,www.c1699.com,wwwBET69COM,bet3418com,m6666.com,e8617.com,www.2010xj.com,ag9006com,www.629836.com,www.hh65056.com,yb8180com,5395287.com,wwwuy666com,www.2624777.com,wwwdrf5111com,www.0030.com,ks512com,5197ss.com,19996.com,tu.277.cc,44dsycom,wwwvns504com,www.5888999.com,qjxing188,www495555com,cjre668,kl8739,www.hg44409.com,bg12.com,141pao打造高清视频,m.fyw747h.top,baicaidaquanluntan,www.pj99929.com,www.3978j.com,www.67890ff.com,www5634fcom,www.2015yes.com,www.5049966.com,www.stsdy.com,www99277com,99segui改网址吗,www922400com,www.8287kk.com,uu898989,wxidh,wwwhg3355ccom,hg00141.com,www408993com,wwwwwwsbc66com,wwwh512com,j2121,wwwtynvncom,www5566677com,vw895.com,thumbzilla更新地址,www04900com,www.hk4849.com,WWW.21166C.COM,www.xpj4007.com,yb4227.com,fb015,349222.com,5555cg. com,www.993.qq.com,ks3707com,www.hcp,www.7860a.com,www.j77188.com,wwwhg03com,www.njdqsj.com,www.99733rr.com,www.866qq.com,,www.hg03.me,www89617com,agc315.com,youfa2681com,WWW.0091253.COM,bin6789,fisher22,3567ff.com,tonglechengxianshang,www.077.com,www98664com,g99wxh886,www.6695628.com,b800.cc,tj.10000.com,WWW.910HE.COM,www.87362.com,ks9774com,xin8821,www.7653222.com,www.www65828.com,www.66906.com,电影屋,http:y2362.com?Extend=42453246,wwwaiweiyacom,www7881788com,www.dzj0333.com,203.net,www.3388ep.com|

以上会员名单排名不分前后