《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》由會員分享，可在線閱讀，更多相關(guān)《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（31頁珍藏版）》請在裝配圖網(wǎng)上搜索。

1、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知識梳理MUBIAODAOH

2、ANG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.會利用線性變換的性質(zhì)及定理進(jìn)行相關(guān)的計算,會確定直線在線性變換后的圖形,并能解決簡單的實際問題.MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLI

3、AN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理M

4、UBIAODAOHANG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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGY

5、ANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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 SHUL

6、I知識梳理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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUIT

7、ANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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

8、SHULI知識梳理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知識梳理122.線性變換的基本性質(zhì)(1)性質(zhì)1.設(shè)A是一個二階矩陣,是平面上的任意兩個向量,是一個任意實數(shù),則A()=A,A(+)=A+A.名師點撥名師點撥平面內(nèi)的兩個向量,滿足數(shù)乘交換律和數(shù)乘對加法的分配律,即1(2)=2(1)=(12)和(+

9、)=+,由此聯(lián)想到矩陣是否也有類似的性質(zhì),并加以證明,記憶時可類比聯(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知識梳理MUBI

10、AODAOHANG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知識梳理12(2)性質(zhì)2.二階矩陣對應(yīng)的變換(線性變換)把平面上的直線變成直線(或一點).名師點撥名師點撥直線作為平面內(nèi)的特殊圖形,經(jīng)過線性變換變成了直線,特殊情況下變成一點.(3)定理1.設(shè)A是一個二階矩陣,是平面上的任意兩個向量,1,2是任意兩個實數(shù),則A(1+2)=

11、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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUI

12、TANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLI

13、AN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理1

14、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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGY

15、ANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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

16、識梳理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知識梳理的作用下變成=A(1+2)=1A+2A(1,2R,且1+2=1).(1)如果A

17、A,則由A和A的終點確定直線l,即把直線l變?yōu)橹本€l.(2)如果A=A,則=(1+2)A=A,A的終點是平面上一個確定的點.所以矩陣所對應(yīng)的線性變換把平面上的直線變成直線或一點.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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITAN

18、GYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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

19、焦ZHISHI SHULI知識梳理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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI T

20、OUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHON

21、GNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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SUITANGY

22、ANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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

23、識梳理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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOU

24、XI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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ZHONGN

25、AN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理MUBIAODAOHANG

26、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 SHU

27、LI知識梳理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知識梳理題型一題型二題型三題型四MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI

28、TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO

29、重難聚焦ZHISHI SHULI知識梳理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知識梳理MUBIAODAOH

30、ANG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SUITANG

31、YANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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

32、知識梳理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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TO

33、UXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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ZHONG

34、NAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理MUBIAODAOHAN

35、G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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYA

36、NLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理12345MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SH

37、ULI知識梳理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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SU

38、ITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345MUBIAODAOHANG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ZH

39、ISHI SHULI知識梳理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知識梳理12345MUBIAODAOHANG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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI

40、 TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIA

41、O重難聚焦ZHISHI SHULI知識梳理12345MUBIAODAOHANG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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)

42、航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理12345MUBIAODAOHANG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知識梳理MUBIAODAOHANG目標(biāo)導(dǎo)航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZH

43、ONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理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知識梳理12345MUBI

44、AODAOHANG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知識梳理12345