高中數(shù)學(xué) 第一講 線性變換與二階矩陣 1.3.1 線性變換的基本性質(zhì)課件 新人教A版選修42

三三線性變換的基本性質(zhì)線性變換的基本性質(zhì)(一)線性變換的基本性質(zhì)MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理1.理解數(shù)乘平面向量和平面向量的加法的概念,掌握線性變換的基本性質(zhì)1、性質(zhì)2及定理1.2.會(huì)利用線性變換的性質(zhì)及定理進(jìn)行相關(guān)的計(jì)算,會(huì)確定直線在線性變換后的圖形,并能解決簡(jiǎn)單的實(shí)際問(wèn)題.MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理12MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理12MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理12MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理122.線性變換的基本性質(zhì)(1)性質(zhì)1.設(shè)A是一個(gè)二階矩陣,是平面上的任意兩個(gè)向量,是一個(gè)任意實(shí)數(shù),則A()=A,A(+)=A+A.名師點(diǎn)撥名師點(diǎn)撥平面內(nèi)的兩個(gè)向量,滿足數(shù)乘交換律和數(shù)乘對(duì)加法的分配律,即1(2)=2(1)=(12)和(+)=+,由此聯(lián)想到矩陣是否也有類(lèi)似的性質(zhì),并加以證明,記憶時(shí)可類(lèi)比聯(lián)想記憶.MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理12(2)性質(zhì)2.二階矩陣對(duì)應(yīng)的變換(線性變換)把平面上的直線變成直線(或一點(diǎn)).名師點(diǎn)撥名師點(diǎn)撥直線作為平面內(nèi)的特殊圖形,經(jīng)過(guò)線性變換變成了直線,特殊情況下變成一點(diǎn).(3)定理1.設(shè)A是一個(gè)二階矩陣,是平面上的任意兩個(gè)向量,1,2是任意兩個(gè)實(shí)數(shù),則A(1+2)=1A+2A.MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理12A.y=x+2B.y=2x+3C.y=3x+2D.y=-x+2MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理12MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理的作用下變成=A(1+2)=1A+2A(1,2R,且1+2=1).(1)如果AA,則由A和A的終點(diǎn)確定直線l,即把直線l變?yōu)橹本€l.(2)如果A=A,則=(1+2)A=A,A的終點(diǎn)是平面上一個(gè)確定的點(diǎn).所以矩陣所對(duì)應(yīng)的線性變換把平面上的直線變成直線或一點(diǎn).MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理題型一題型二題型三題型四MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理題型一題型二題型三題型四MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理題型一題型二題型三題型四反思反思本題是利用定理1解決的,也可先利用平面向量的性質(zhì)進(jìn)行計(jì)算,再結(jié)合性質(zhì)1求出結(jié)果.MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理題型一題型二題型三題型四MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理題型一題型二題型三題型四MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理題型一題型二題型三題型四分析:先由切變變換的概念寫(xiě)出A,根據(jù)直線的性質(zhì)求出直線l的方程,進(jìn)而求出A將l變換后的圖形其方程.MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理題型一題型二題型三題型四MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理題型一題型二題型三題型四MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI 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TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理題型一題型二題型三題型四MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識(shí)梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI 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