www.dzj3337.com:2019(北师大版)数学必修四:2.6《平面向量数量积的坐标表示》ppt课件(1)_图文

yb2942vip www4270bbcom www.zi20.com www.092676.com vns2.me luluhei最新官网入口 www.707060.com

97yesclub kingsboy www.yh5309.com m.hy149.com www.w6110.com www.2-cless.com pj88801.com

精品数学课件 2019 年 北 师 大 版 教学目标: 1、理解各公式的正向及逆向运用; 2、数量积的运算转化为向量的坐标运算; 3、掌握平行、垂直、夹角及距离公式,形成转 化技能。 一、复习引入 (1) a ? b ? a ? b cos ? ( 2) a ? a ? a 或 a ? 2 a ? a; a ?b a ?b . a ? b ? a ? b ? 0; cos ? ? 我们学过两向量的和与差可以转化为它们 相应的坐标来运算,那么怎样用 a和b的坐标表示 a ? b呢? 二、新课学习 1、平面向量数量积的坐标表示 如图,i是x轴上的单位向量, j是y轴上的单位向量, 由于 a ? b ? a ? b cos ? 所以 y A(x ,y ) 1 1 j B(x2,y2) i ? i ?1 . j ? j ? 1 . i ? j ? j ?i ? 0 . b a o i x 下面研究怎样用 a和b的坐标表示 a ? b. 设两个非零向量 a =(x1,y1), b=(x2,y2),则 a ? x1 i ? y1 j 2 b ? x2 i ? y2 j , 2 a ? b ? ( x1 i ? y1 j ) ? ( x2 i ? y2 j ) ? x1 x2 i ? x1 y2 i ? j ? x2 y1 i ? j ? y1 y2 j ? x1 x2 ? y1 y2 故两个向量的数量积等于它们对应坐标的乘积的和。 即 y A(x1,y1) a i a ? b ? x1 x2 ? y1 y 2 . B(x2,y2) b j o x 根据平面向量数量积的坐标表示,向量的 数量积的运算可转化为向量的坐标运算。 2、向量的模和两点间的距离公式 (1) a ? a ? a 2 或a ? a ? a; (1)向量的模 设a ? ( x, y ), 则 a ? x ? y , 或 a ? 2 2 2 2 2 x ?y ; (2)两点间的距离公式 设A(x1 , y1 )、B ( x2 , y2 ), 则 AB ? (x1 ? x2 ) ? (y1 ? y2 ) 2 2 3、两向量垂直和平行的坐标表示 (1)垂直 a ? b ? a ?b ? 0 设a ? (x1 , y1 ), b ? ( x2 , y 2 ), 则 a ? b ? x1 x2 ? y1 y 2 ? 0 (2)平行 设a ? (x1 , y1 ), b ? ( x2 , y 2 ), 则 a// b ? x1 y 2 ? x2 y1 ? 0 4、两向量夹角公式的坐标运算 设 a与b 的夹角为?(0 ? ? ? 180 ), ? ? 则 cos ? ? a ?b a b 设a ? (x1 , y1 ), b ?( x2 , y2 ), 且a与b夹角为?, (0 ? ? ? 180 )则 cos ? ? ? ? 2 1 2 1 2 2 x1 x2 ? y1 y2 x ?y ? x ?y 2 1 2 1 2 2 2 2 2 2 . 其中 x ? y ? 0, x ? y ? 0. 三、基本技能的形成与巩固 例1 (1)已知a ? (?1,2 ? 3 ), b ? (1,1), 求a ? b, a ? b, a与b的夹角? . a ? b ? 1 ? 3, a ?b a ? b ? 2 4 ? 2 3 ? 2(1 ? 3), 1 ? ? ? cos ? ? ? ,? 0 ? ? ? 180 ,?? ? 60 . a?b 2 (2)已知a ? (2,3), b ? (?2,4), 则(a ? b ) ( ? a?b ) ? . 法一: a ? b ? (0,7), a ? b ? (4,?1) ? (a ? b) ( ? a ? b) ? 0 ? 4 ? 7 ? (?1) ? ?7. 法二:(a ? b) ( ? a ? b) ? a ?b 2 2 2 2 ? a ? b ? 13 ? 20 ? ?7 例2 已知A(1,2),B(2,3),C(-2,5), 试判断?ABC的形状,并给出证明. y B(2,3) A(1,2) 0 C(-2,5) 证明 :?AB ? (2 ?1,3 ? 2) ? (1,1) AC ? (?2 ?1,5 ? 2) ? (?3,3) ?AB? AC ? 1? (?3) ? 1? 3 ? 0 ? AB ? AC x ?三角形 ABC是直角三角形 . 练习2:以原点和A(5,2)为两个顶点作等腰直 角三角形OAB,?B=90?,求点B的坐标. y B 3 7 答案:B的坐标为( , ) 2 2 O 7 3 或( , ? ) 2 2 A x 四、逆向及综合运用 例3 (1)已知 =(4,3),向量 b 是垂直 a 于 a 的单位向量,求 b . (2)已知a ? 10, b ? (1,2),且a // b,求a的坐标. 3? (3)已知a ? (3,0), b ? (k ,5),且a与b的夹角为 , 4 求k的值. 3 4 3 4 答案:(1) b ? ( ,? )或b ? (? , ). 5 5 5 5 (2)( 2, 2 2)或( ? 2, ? 2 2);(3)k ? ?5. 提高练习 1、已知OA ? (?3,1), OB ? (0,5),且 AC // OB, BC ? AB ,则点C的坐标为 四边形ABCD的形状是 矩形 . 29 C ( ?3, ) 3 2、已知A(1,2)、B(4、0)、C(8,6)、D(5,8),则 3、已知 a = (1,2),b = (-3,2), 若k a +2 b 与 2 a - 4 b 平行,则k = - 1 . 小结 1、理解各公式的正向及逆向运用; 2、数量积的运算转化为向量的坐标运算; 3、掌握平行、

以下是今天幸运会员获奖名单

www.9989z.com,www.222222h.com,13864307608@163.com,www.avav998.com,wwwy88com,www.fanqie777.com,www.99yb99.com,www.950709.com,jianzhongpeng2008@163.com,www.3993w.com,www246246sj.com,www.hg60234.com

36bolcom,www.n7766.com,www.vip7977.com,9160x,www.993429.com,lj53,c8.wangdq.com,丝绸轩轩v5v8视频网址,www.63443.com,wwwp69222com,jbl8337.com,bosini,hg5847.com,www909969com,WWW.CCC506.COM,www.bet7415.com,wwwbodog009com,www.bo719.com,wwwpchomenet,www.woyaopp.com,www.zongsheng2018.com,8488822.cc,www.x3382.com,hg7253com,hdsahfd@163.com,www.shenbo.com,www.js02999.com,www688cn,lbs4888.com,hg305.com,www.234333.com,958200.com,WWW.145689.COM,www.629gt.com,www.xj94.com,z13z14z,www.69683.com,www.hg8122.com,www.7893006.com,wwwgbe77com,ag2963com,dingding,lasi66.com,www.6666.com,toutou149com,www.js3858.com,90001.fcom,hu6699,0885e,在线18av,qingqingcaoziyuanwangzhan,wwwhy9992com,www.gao2018.com,www.nidilu,vsmczx,WWW.G501.COM,wwwbm2575com,wwwc739966com,www.236807.com,草社区,tyc026com,www.802879.com,65557885@qq.com,www.bjb22222.com,jiang33233,www.401234.com,www.0527.com,yinhezhizunwangzhi,heyonghua,k1253com,www.5252jia.com,long1,369053.com,www.15893755526.com,www275036com,25533.com,ycs888,1155333.com,jinzhi252191,857777.com,www.009333.com,shun,WWW.KKI88.COM,babyman007,013999.com,1933v.com,45612.com,www.090mgm.com,lh7523.com,zhangchong,www.ly4444.com,4596.win,护民彩图图库深圳图库,www.71kn.com,7770508.com,yzc699com,98455,ljw6677,www.679723.com,zhang1231,sy816.com,帐号,zajiaoxiaoshuo,wwwlfg44com,500pppp.com,wwwys0088com,wa9778,wwwccc699com,love429.com,www71824com,www.vns38899.com,lu100,www.34lz.com,www.9965y.com,2014sb.com,2399,www.111eecom,hg4400b.com,www.3666.com,www.525502.com,WWW.057.COM,yb9336vip,www.sx616.com,www.chunmanzi.com,ou818881,www.77880153.com,969gcom,www.01cmp.com,brand99.com,w669999.com,55455p com,www11497,com,ag8392vip,www.4566.com,062888.com,www.7898838.com,www.663891.com,vns2487com,duchuimin,www18guobocom,880507com,www.8996oooo.com,winner314@163.com,w523411517,www.377977.com,8868888com,lijingchen,www.8msc.com,m.2020tv.cn,www.pj1018.com,www389com,www.hg3368.com,2245937255@qq.com,WWW.TYC655.COM,353987.com,hg2814com,c1343252522,www.h-fan.net,www.vip0152.com,v0044.tv,sdl8888,www.bmw333info.com,sifangclub,www.cc36,wwwht2100com,www.y7891.com,www979686com,68198.com|

kbcp3.com,331777,www.24999a.com,www.9541.com,kmmkk.com,www. 572hh. com,hg99981.com,ASD986L,www.wwwsunbet.com,www.623617.com,0926677.com,www.wap.vns7.vip,66002.com,wwwhg38880com,lh5581.com,5087.com,wwwgcgc98com,amvip599,www.v2208.com,www.xpj2414.com,xh3330.com,www.yc658.com,rb2012.com,www.594605.com,eu355,www.l82233.com,ks5532.com,wwwf5566com,552NA. com,8522.com,liuliqiu123,153406com,www.lolmimi.com,www.69477.net,www.8220.com,aaak7,77149iicom,58787com,9600.com,wan4933.com,45500.con,qifa991.com,www.26pao.com,hg5115.com,www.jh5999.com,e8383.com,www.c20/con,yanglingdejiaoqimeiqietxtxiazai,837485com,www.7837y.com,wwwpj22881com,6627.com,749202.com,mm99999,www5545acom,www.6629b.com,www.67rrr.com,www.vip398.com,wwwg95599com,wwwssgjcom,hg2018hg,2229com,wwwgg040com,www.78xjs.com,likui,www2233288com,kanxiu585,688htnetcom,www.6304888.com,www.hg0688.com,9708w.com,www.hb666888.com,826495com,ying555,xpj1761.com,www.l5588.com,172954.com,1020973618@qq.com,787ttt,http://www.691vod.space/,www.116518.com,cai31.cc,www78699com,92922.com,lh1438.com,www.13955.com,www.vns639.com,c1344446791,wuyepianshenmayingyuanfuli,c1538705336,www310111com,379343.com,www.88caifu.com,yabo5,www.fac989,ag9131cn,henhenlugaimingshishime,ba1371,wwwxpj6195com,8881444.com,wwwjs1036com,dj348.com,www.38636.com,sheng1688,www.350hh.com,babuyazhouyulepingtai,qscz.ren,www..yusese.com,507.com,www.eee182.com,xinbaoguojishoujiwangyedenglushouye,wwwwin1099com,www.xjj,jay名优馆在线观看,38000.com,WWW.M0000.COM,75353com,ms444.com,ccnn44.com,z56777com,hj5678.com,www.bb370.com,wwwhg980588com,www.q2h.bet6681.com,cheng111.com,hg2680.com,www.hga808.com,ag0547vip,aomenweinisirengonglue,1338311k.cc,www.533188.com,220099.vip,www.3777mm.com,WWW.WWW.D364.COM,se.950wyt.com,wwwbs2288com,wang2003,js9.com,wz1234,www.agent.66318q.com,flb6,lh88.net,www5534ecom,wwwlong8013com,bwin900co,www.m.00336.com,www.77139w.com,41456com,190690285@qq.com,www122199com,77yule最新地址,www.js123.am,zhf245211355,www.167651.com,www.14288.com,https:333men. com,www122wapcom,www.2017kk.com,7pk7ubyes9,www8v888com,yb7695com,www.yh88628.com,www.226607.com,www.274112.com,www.97zyz.com,aigetai.com,zhengbinkun,www.xemh.net|

lh5317.com,879.com,toutoulu,www404mgmcom,bebe99.com,999lasi.com,webfh22010com,b988pt,4290370392@qq.com,wzy2363288,wwwzj6688com,www.738393.com,xingqibaluntan,www.438bb.com,www612520com,jmt06.com,tcp543.com,wwwlb78com,www.ybh555.com,1994371456,www.k1178.com,www.jg0111.com,www235zzzcom,www.xpj7337.com,www.964vv.com,WWWZFUCAICN,www.99ckck.com,www.eee589.com,263022567,22xxoo,ds998.net,www682855com,ag0143vip,lh6804.com,www.69tang.net,WWW.CP011.COM,sg99zyz,www41xx,www.20552255.com,www.lo555.com,6905com,cxyy6788,410294678,www30469com,www.23833.com,baoyutv最新网址,www.237258.com,896306com,www.9998zx.com,www.scjy,362yule,vns2011.com,www0361999cc,www.8880132.com,895591com,wwwdc0002com,www.2999l.com,8808cc,wwwx333444com,www.83345f.com,ag0571.win,wh966858,www.85633.com,yabet4831com,wwwkkkk0238com,www2009810com,e75335,kongxudemamamanhua,www.503904.com,www.838993.com,www.6110.com,huwaisp.com,www.69xiu.com,fugui68com,862365.com,ysb61.com,www.zr697.com,38939.com,www7490com,yb5987.com,66619991.com,www.500105.com,www.10266.com,wan3764.com,lwq137,www0790dcom,weiminhua,www.bet32333.com,www.tueinfo.COM,jiangbeidiyicaizixiaoshuo,woaini,336636.com,www4798com,www.938.cc,www.1234530.com,www.38aaa.com,wwwbu370,2005999.com,tongfengduishangshilema,白石茉莉奈种子,www.764750.com,wwwwwwamjs5553com,www.569234.com,www.tutujav.com/vodshow/zhenshizipai--------2---.html,hg32156.com,工口同人,87080.com,www.0554.com,www.93888ee.com,WWW.KB6767.COM,3457.com,www.958277.com,ddtv22.com,www.612666.com,yingjie8,www.17828l.com,399568com,www3394999com,ma880607,0512dfqc.com,www3559fffcom,138tk.com,12066,500.com,www.tao,ag3627.win,zhushenghuang2009@126.com,15hdav换,13035142299,peter98,www.hy312.com,www5599icom,sanxiong11,WWW.MG.BMW8006.COM,zhongguozuidachengwangrenzhanmianfei,www.4812d.com,www.hg88331.com,zdr669com,mgyulechang4377jiance,494432.com,tou.52com.,m.tjeyjm.top,suohage,15373883285@189.cn,wwwpj900com,baby888,xianshanggaobocai,wwwhg58889com,www7334ddcom,guanjianfeng,www50038ecom,www.hg3679.com,WWW .6865T.COM,amwscfk,kk449com,www.pj990555.com,www90562com,3247.win,jun1yaochenjiachenyaohuijiatxtxiazai,xiaovvh8,dhy117.com,15fhyl,z15874281,wwwcp138com,www59963scom,香港4998cc,www.13443.com,www.f2dqb6.com|

1c11c1111111ss1s11121s1111111v1x11zz1rt4wf7cn/?p=475',3302bet,www.58333.com,2488676415,zhangxiuqion,www.236236.com,www.js890.vip,WWW,888363,com,by001,www.bj8866.com,www.9995z.cc,js3910com,1593vvv.com,www.faceautodoor.com,7777888TV,www.514333.com,www.aa22路com,25699c.com,haodiaoniushipinzaixianxinguankan,www4455nccom,23999.com,www.nba.com,wwwaisedao12comwwwaisedao12com,ppyy ru,dd858com亚洲精品,zengqiaoyan,www730987com,WWW.420987.COM,73j78.com,918eb.com,www.ttt619.com,www17674301113com,www5940com,www.119410.com,heyihong88,kedou288.com,中文乱码字幕无线观看,www.03488.com,81166.com,www.se0544,ag6368vip,dzj0143com,www.agks18.com,880516com,js9999cc,hg7597com,wwwjjylcnlcicom,https://m.sogou.com/web/sl?,www.21389966.com,www.98886508.com,839103com,wwwbg793com,www20203855com,wwwwww6067700com,77766高手水心论坛,yijie618,graph.qq.com,www.888711.com,344gan.com,www.50191.com,yh99.com,WWW.X5888.COM,airenyao.com,yabet2615com,309999.com,www.103802.com,www.cheng88.com,73386.com,fyt13.com,lioutianming,c32mm,jianglong39,www.4482.cn,www.hwx618.com,tx8588com,www.3769,xpjdcgg,dqsdzh,yl8599.com,www.44ypyp.com,www.bete2012.com,www.oxoxox,ag5069.win,vns8084com,wwwhkbxjcom,www.4429h.com www.6628y,yhrl,xunboge.com,996128909,248.cc,yazhoudiyioumeiderichan,www.7196t.com,www.pj634.com,hg36611.com,88laohushibushiguanle,wb2438com,www.845767.com,ks542com,www.6677ticom,555rn.com,www.58she.com,www.88520.cc,3333.xb3.mobi,wwwhbs0011com,3348x人全国最大网址,wwwylgg,live.by338.com,modunhai,wwwcp585com,ag2161com,m.ks503.com,dingshengyuleguanwang,wwwabc6789com,www.6d888.com,cqwe1341378,www.dzb511.com,www.hd3888999.com,WWW723EECOM_WWW.723EE,COM,008432.com,www71071bcom,www.tmb88.cn,vns1403com,www.4065xx.com,www.799n.com,ee89757,tyc7885.com,pj6098.com,www.226449.com,www.hd785.com,www.mt0009.cc,www.yabo18.com,www.6939o.com,js4436com,www.24199.com,whjlbgcom,fun481,141317.com,www.aizipai .XYZ,www994999com,xiqiu,yuan158,www.EC325..com,emm7292com,欧美一级毛片免费高清 www.xmbqz.com,黄素熙dj一次多少钱,www710993com,www06hhcom,qw003,kb9784com,www19927com,www.428s8s.me,2244k.com,008855.com,www13541478295com,www.505125.com,ag7949vip,abcdefg5209,wwwlhj0345com,520.shaoxia@163.com,58557cccom,32365com,656008com,123088.com,ayss18.com,mtl7.xyz,www.zd069.com,wwwtchrjscom,www.bet9422.com|

以上会员名单排名不分前后

相关文档

2019(北师大版)数学必修四:2.6《平面向量数量积的坐标表示》ppt课件(2)
2019届(北师大版)数学必修四:2.6《平面向量数量积的坐标表示》ppt课件(2)
2019(北师大版)数学必修四:2.6《平面向量数量积的坐标表示》ppt课件(3)
学霸百科