人教版初中數(shù)學(xué)第十四章整式的乘法與因式分解知識(shí)點(diǎn)

14.1.1同底數(shù)冪的乘法aaa（mnmnm,n.例x_____x，2.x66_____x，8x4x.xx.xx，6x42x68.例aaa；743a14.aaa743.a14.14.1.2冪的乘方(a)am,n（mnmn.(a)(a)amnnm例m(m)mmmm．．329．．326mm5mmm62423mD.3m5mm與23．．2m6．mm．32mmmm.624.例()()．322a3aa12.(a)(a)a(a)a.322366.例()；9aa543a2a.a(a)aaa.a95432.(a)a；例3mn3mna.(a)aaaa.3mnm3n3mn.14.1.3積的乘方(ab)ab（n.nnn(ab)3例2a3b3a6b3a3b6a6b6B=．B例3A333333（2a)3=23a=.(xy)33.例2xy69.(xy)xy9.2336.(a42；例38a(3.(a4a4a.3228.14.1.4整式的乘法.例y與）zyzB）zyzyz374743C.4xy2x(y)z42xxy(y)z8xyz4，5235237.例·abc—24abc.23528ab3.8ab3·—24.abc23abc23525例2·；51613z8.255251xy·23×·x·x·y·y·z=xy2334165168.2例·；3423.224·a·a·a·b=ab.233242333.例．2x2xy.4xy2.4xy2x2xy2..(abc)mambmcm,a,b,c即m(例a(ab)b(ba)；ba22.a(ab)b(ba)a2abb2aba2b2..例(11x3)()；xy2632xy4xy432.112xy4xy.(xxy)(12xy)4323263.例(4)(ab1)；aab24ab12ab4a224.(4a)(abab4ab12ab4.23224.3x(xyxy)_____________.例23xy3xy23.3x(xyxy)3xy3xy3.22.3x(x2x2x(x.例224x3xx32.3x(x2x2x(x33.xxxxxxxx6322422323232..例；2=a2．例．．例_．31x.xxxx1x1．=x3223aaam,nmn)、同底數(shù)冪的除法法則：a（mnmn.(a)(a)2a例a2=，56a34，a.(a)(a)(a)a.aa624，5233a.例.m=m3－2ma0110例．=2A221110001=12例﹣=1．【解析】此題考查絕對(duì)值的運(yùn)算、冪的運(yùn)算性質(zhì)和二次根式的化簡(jiǎn)，即a,(aa,(a|a,a01(aa2|a；a,(aa,(a2121；1例-．21-8.11(.8100ap0p是ap...(ambmcm)mammbmmcmmabc14.2.1平方差公式(ab)(ab)ab22.例、(xy)(xy)B、(x1x)、(2xy)(2yx)、(x2)(xBx22B．例2yx2yx、4yx、4、4、22yyxy2x2x2C=4C22yx例，=．．例．222．．14.2.2完全平方公式(ab)a2abb2222.）()2()2；()()4a2b2ab2ab2ab2ab2ab(ab)[(ab(ab)；(ab)[(ab)](ab)222222(abc)abc2ab2acbc2222例ab3(ab)2D(ab)(ab)4ab54(372222229.例31880.92132930.32111(29)(30)90020880.223399(ab)a2abb.222例．.=；；=．2．14.3.1提公因式法23“”14.3.2公式法ab）22ab）222ab）222例a2abb6＝．b22a6ab6＝244．例xx(x2.244(x2．xxa2abb(ab).222=；；=．2．14.3.1提公因式法23“”14.3.2公式法ab）22ab）222ab）222例a2abb6＝．b22a6ab6＝244．例xx(x2.244(x2．xxa2abb(ab).222=；；=．