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高中數(shù)學 第一講 線性變換與二階矩陣 1.1.1 幾類特殊線性變換及其二階矩陣課件 新人教A版選修42

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高中數(shù)學 第一講 線性變換與二階矩陣 1.1.1 幾類特殊線性變換及其二階矩陣課件 新人教A版選修42_第1頁
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《高中數(shù)學 第一講 線性變換與二階矩陣 1.1.1 幾類特殊線性變換及其二階矩陣課件 新人教A版選修42》由會員分享,可在線閱讀,更多相關《高中數(shù)學 第一講 線性變換與二階矩陣 1.1.1 幾類特殊線性變換及其二階矩陣課件 新人教A版選修42(42頁珍藏版)》請在裝配圖網(wǎng)上搜索。

1、第一講線性變換與二階矩陣一線性變換與二階矩陣(一)幾類特殊線性變換及其二階矩陣MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUB

2、IAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理1.理解旋轉變換、反射變換、伸縮變換、投影變換、切變變換及二階矩陣的概念.2.會求幾何元素在某變換作用下的像,會求變換公式及對應的二階矩陣.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN J

3、VJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航

4、DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理123456781.線性變換名師點撥名師點撥在表達式(*)中,x,y都是關于x,y的常數(shù)項為0的一次式,通常稱“一次表達式”為“線性表達式”,所以上述變換稱為“線性變換”.答案:(2,11) MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂

5、演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345

6、678名師點撥名師點撥二階矩陣僅僅是一個包含兩行、兩列的數(shù)表,它既不是數(shù),也不是代數(shù)式.手寫矩陣時要注意數(shù)與數(shù)之間的間距.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重

7、難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678答案:3 MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOH

8、ANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練Z

9、HONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理123456783.特殊矩陣名師點撥名師點撥1.矩陣通常用大寫的英文字母A,B,C表示.2.零矩陣和單位矩陣是常用的兩個矩陣.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例

10、透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678【做一做3】 在下列矩陣中,二階單位矩陣是()解析:由二階單位矩陣的定義知,選C.答案:CMUBIAODAOHANG目標導航DIA

11、NLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JV

12、JIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12435678MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOH

13、ANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12435678名師點撥名師點撥1.(x,y)為平面內任意一點的坐標,(x,y)是旋轉后的相應點的坐標.

14、2.角可正可負,為正角說明按逆時針方向旋轉|,為負角說明是按順時針方向旋轉|.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUB

15、IAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12435678MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUIT

16、ANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SH

17、ULI知識梳理123456785.反射變換平面上的任意一點P變成它關于直線l的對稱點P的線性變換叫做關于直線l的反射.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚

18、焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航

19、DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN

20、 JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678【做一做5】 在直角坐標系xOy內,求任意一點P(x,y)關于直線y=-x 的反射變換的坐標變換公式及相應矩陣. 解:P(x,y)關于直線y=-x的對稱點為P(-y,-x),則坐標變換公式MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳

21、理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理123456786.伸縮變換在直角坐標系xOy內,將每個點的橫坐標變?yōu)樵瓉淼膋1倍

22、,縱坐標變?yōu)樵瓉淼膋2倍,其中k1,k2均為非零常數(shù),稱這樣的幾何變換為伸縮變換.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理M

23、UBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SU

24、ITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI

25、SHULI知識梳理12345678MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI T

26、OUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理123456787.投影變換設l是平面內一條給定的直線,對平面內的任意一點P作直線l的垂線,垂足為點P,則稱點P為點P在直線l上的投影.將平面上每一點P變成它在直線l上的投影P,這個變換稱為關于直線l的投影變換.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN

27、隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUB

28、IAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUIT

29、ANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678【做一做7】 在直角坐標系xOy內,關于直線y=2x的投影變換的矩陣為()答案:BMUBIAODAOHANG目標導航DIANLI TOUXI典

30、例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZH

31、ISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIA

32、NLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678名師點撥名師點撥在直角坐標系xOy內,將每一點P(x,y)沿著與x軸平行的方向平移ky個單位長度變成點P,其

33、中k是非零常數(shù),稱這類變換為平行于x軸的切變變換.同理,平行于y軸的切變變換是指直角坐標系內的每一點P(x,y)沿著與y軸平行的方向平移kx個單位長度(其中k是非零常數(shù))的線性變換.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUIT

34、ANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345678MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦Z

35、HISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOU

36、XI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚

37、焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航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題型五題型六【例1】 請寫出在平面直角坐標系xOy內,將每一點繞原點O按順時針方向旋轉30的變換對應的二階矩陣.分析:先寫出旋轉變換公式,再寫出二階矩陣.解:根據(jù)旋轉變換公式,MUBIAODAOHA

38、NG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZH

39、ONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航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題型五題型六反思反思本題中的旋轉變換是按順時針方向旋轉的,所以代入旋轉變換坐標公式時,要用負角表示.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析

40、SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISH

41、I SHULI知識梳理題型一題型二題型三題型四題型五題型六MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG

42、目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航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題型五題型六反思反思只要明確了點A、點A與直線y=kx的關系,此類題可靈活求解,在點A、點A及直線l中可知二求一.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZH

43、ISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUX

44、I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題型五題型六MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練Z

45、HONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航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題型五題型六反思反思熟記伸縮變換的坐標變換公式及相應的二階矩陣是解決此類題的金鑰匙.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANG

46、YANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI

47、知識梳理MUBIAODAOHANG目標導航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題型五題型六【例4】 在直角坐標系xOy內,求關于直線y=3x的投影變換對應的二階矩陣.分析:根據(jù)投影變換的定義,在關于直線l的投影變換下,點P與它的像P應滿足PPl,且點P在直線l上.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DI

48、ANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN J

49、VJIAO重難聚焦ZHISHI SHULI知識梳理題型一題型二題型三題型四題型五題型六解:設平面內任一點P(x,y)在關于直線y=3x的投影變換下的對應點為P(x,y),則有PP與直線y=3x垂直,且點P在直線PP上,反思反思解決此類問題,要緊扣概念,依據(jù)概念解題. MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHU

50、LI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航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題型五題型六【例5】 已知一切變變換是將坐標平面

51、內的任意一點(x,y)沿與x軸平行的方向平移2y個單位長度,則點P(1,2)在此變換作用下的像P為()A.(3,2)B.(5,2)C.(-1,2)D.(2,5)點P(1,2)在此變換作用下的像P為(5,2).答案:BMUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIA

52、NLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航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題型五題型六MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANL

53、IAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理

54、MUBIAODAOHANG目標導航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題型五題型六錯因分析:在旋轉變換中,把旋轉角的旋轉方向搞錯了,逆時針方向旋轉的角代入旋轉變換公式時為正角,順時針方向旋轉的角代入旋轉變換公式時為負角.MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGY

55、ANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知

56、識梳理123451.在直角坐標系xOy內,將點A(1,2)繞原點按逆時針方向旋轉150后的點的坐標為()MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI

57、 SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345解析:設點A繞原點按逆時針方向旋轉150后的點的坐標為(x,y),答案:BMUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI

58、 SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透

59、析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理123452.在直角坐標系xOy內,點P(1,1)在關于直線x=5的反射變換作用下的像為()A.(9,1) B.(1,9)C.(-1,1) D.(1,-1)解析:點P(1,1)關于直線x=5的對稱點為(9,1).答案:AMUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演

60、練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345M

61、UBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYAN

62、LIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理123454.點P(2,3)在關于直線l的投影變換作用下的像為P(-1,1),則直線l的方程為. 答案:3x+2y+1=0MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI

63、TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理MUBIAODAOHANG目標導航DIANLI TOUXI典例透析SUITANGYANLIAN隨堂演練ZHONGNAN JVJIAO重難聚焦ZHISHI SHULI知識梳理12345

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