台灣黑皮歐巴桑的學習祕笈

中英文版(高二下數學)第四章第三節 雙曲線 (雙曲線的定義 / 雙曲線的方程式 /  雙曲線的正焦弦長 / 漸近線方程式/ 共軛雙曲線與等軸雙曲線 / 雙曲線的伸縮)

*108新課綱｜高二數學｜【觀念】雙曲線的定義與標準式
https://www.youtube.com/watch?v=D98sVvq2ajY

*108新課綱｜高三數學｜【觀念】雙曲線的定義與基本性質
https://www.youtube.com/watch?v=81d85D5gxxA

*108新課綱｜高三數學｜【觀念】雙曲線的標準式
https://www.youtube.com/watch?v=oZgTWey_KV4

*1-3畫雙曲線_動圖
https://www.youtube.com/watch?v=Xys49NeSZ9o

雙曲線之正焦弦長
https://www.youtube.com/watch?v=paRiaigPPPo

B4--4-3--範例5---給定標準型雙曲線方程式，求證雙曲線的正焦弦長公式(證明)
https://www.youtube.com/watch?v=-3r73-Wbuf8

108新課綱｜高三數學｜【觀念】雙曲線的漸近線及其性質
https://www.youtube.com/watch?v=Xicu8qvdxeM

108新課綱｜高三數學｜【觀念】等軸雙曲線及共軛雙曲線
https://www.youtube.com/watch?v=ZAhWbhGIEhQ

高中_數學_惠文高中_雙曲線_等軸雙曲線、共軛雙曲線練習1
https://www.youtube.com/watch?v=SKFBHutzqtk

雙曲線的伸縮
https://www.youtube.com/watch?v=8kwdAnlWXws

108新課綱｜高三數學｜【應用】雙曲線的應用
https://www.youtube.com/watch?v=bdEQQSGVsng

(9) 利用定義畫雙曲線
https://www.youtube.com/watch?v=sXCaVJVzSOs

高三進度｜二次曲線｜EP11 雙曲線的定義｜楊翰數學
https://www.youtube.com/watch?v=pKZED0zofcU

高三進度｜二次曲線｜EP12.1 雙曲線的方程式(觀念)｜楊翰數學
https://www.youtube.com/watch?v=WnGvjVNLHmc

高三進度｜二次曲線｜EP12.2 雙曲線的方程式(計算)｜楊翰數學
https://www.youtube.com/watch?v=4RnewGgrqqA

高三進度｜二次曲線｜EP12.3 雙曲線與橢圓的比較｜楊翰數學
https://www.youtube.com/watch?v=-JylrHmbRrs

高三進度｜二次曲線｜EP13.1 雙曲線的漸進線(觀念)｜楊翰數學
https://www.youtube.com/watch?v=P9_7YFW5dd4

高三進度｜二次曲線｜EP13.2 雙曲線的漸進線(計算)｜楊翰數學
https://www.youtube.com/watch?v=feAmgHv9Ags

高三進度｜二次曲線｜EP14 特殊雙曲線｜楊翰數學
https://www.youtube.com/watch?v=cDK0uVanxiI

高三進度｜二次曲線｜EP15 雙曲線的軌跡問題｜楊翰數學
https://www.youtube.com/watch?v=yZltLwytp4c

高三進度｜二次曲線｜EP15.2 雙曲線的軌跡問題｜楊翰數學
https://www.youtube.com/watch?v=4g0imN68XnE

高中數學_二次曲線-雙曲線_聯考題_張淑娟
https://www.youtube.com/watch?v=Ze05YeCFLE4

20分鐘搞定二次曲線(拋物線.橢圓.雙曲線)
https://www.youtube.com/watch?v=wEEvcRSde1I

高中數學_二次曲線-雙曲線_雙曲線的定義_張淑娟
https://www.youtube.com/watch?v=OaIT2FUyOcg

高中數學_二次曲線-雙曲線_雙曲線的標準式與圖形的關係_張淑娟
https://www.youtube.com/watch?v=pTdHFKfCJe4

高中數學_二次曲線-雙曲線_雙曲線的標準式求各要素_張淑娟
https://www.youtube.com/watch?v=ctKXlNG2RNY

高中_數學_雙曲線_觀念6 雙曲線的正焦弦長
https://www.youtube.com/watch?v=0ZY5yEm9xEc

高中數學_二次曲線-雙曲線_雙曲線的漸近線_張淑娟
https://www.youtube.com/watch?v=VBTy7rwv4SI

等軸雙曲線
https://www.youtube.com/watch?v=jpdEtO9MPI8

共軛雙曲線
https://www.youtube.com/watch?v=ixvxfdzjXro

高中數學_二次曲線-雙曲線_雙曲線的平移與伸縮_張淑娟
https://www.youtube.com/watch?v=-XIB9Qfsa2k

高中數學_二次曲線-雙曲線_-二次曲線的旋轉_歐志昌
https://www.youtube.com/watch?v=7Y2Nk3RSYrI

高中數學_二次曲線：圓錐曲線_生活中的二次曲線_歐志昌
https://www.youtube.com/watch?v=6b-LNgTc2PA

高中數學_二次曲線：圓錐曲線_圓錐截痕與二次曲線_歐志昌
https://www.youtube.com/watch?v=PBDIMWDecFk

【吳銘數學】296圓錐曲線─雙曲漸進線及應用20180613二毅
https://www.youtube.com/watch?v=0RUyZSHhtzY

*Conic Sections - Hyperbolas (Part 1 of 3)
https://www.youtube.com/watch?v=fgVo3CcQol8

*Conic Sections - Hyperbolas (Part 2 of 3)
https://www.youtube.com/watch?v=GP1IWNAb5DM

*Conic Sections - Hyperbolas (Part 3 of 3)
https://www.youtube.com/watch?v=1nnZEg96Xuw

*Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses
https://www.youtube.com/watch?v=uMXcKY_w3w4

*Conic sections serve us everywhere !
https://www.youtube.com/watch?v=aFY-Mh5CfM8

*Writing Standard Equation of Hyperbola (3 Different Types - Given Vertices, Foci, Asymptotes, Point)
https://www.youtube.com/watch?v=PJUmKRSL4II

*Hyperbolic Functions - All Content
https://www.youtube.com/playlist?list=PL5pdglZEO3NiMlAPOCEBvIUNZXD7Q9czc

*Determining the length of the latus rectum of a hyperbola
https://www.youtube.com/watch?v=0PSGgF2Okbc

*Asymptotes of the Hyperbola
https://www.youtube.com/watch?v=4xIMf1mVI6A

*How to find the foci, center and vertices, and asymptotes of a hyperbola
https://www.youtube.com/watch?v=of1W6Vv1TKU

Eccentricity, Transverse Axis & Conjugate Axis of the Hyperbola
https://www.youtube.com/watch?v=aGVQy-ACDSk

Learning to graph a hyperbola with asymptotes
https://www.youtube.com/watch?v=6PKrcb338H8

Foci & Directrices of the Hyperbola
https://www.youtube.com/watch?v=_P4EPscQ2KQ

IXL - Find the length of the transverse or conjugate axes of a hyperbola (Algebra 2 practice)
https://www.youtube.com/watch?v=a1qwMs9XXms

Graphing and Writing Equations of Hyperbolas
https://www.youtube.com/playlist?list=PLROOIV7hGpZggsKPo2ymsvvlhpEDFUsZf

Hyperbolas in the real world
https://www.youtube.com/watch?v=EozoaOfYNOI

Hyperbolic Trig Functions - Basic Introduction
https://www.youtube.com/watch?v=PJRSu0Vf0r0

Derivatives of Inverse Hyperbolic Functions
https://www.youtube.com/watch?v=NQGiOuohNqI

Graphs of Inverse Hyperbolic Functions
https://www.youtube.com/watch?v=fT96bbivGk8

Derivatives of Hyperbolic Functions
https://www.youtube.com/watch?v=Q6-QZxUDfE0

Limits of Hyperbolic Functions
https://www.youtube.com/watch?v=bVhcT2-QMEc

Differentiation Formulas - Notes
https://www.youtube.com/watch?v=AdLAkD-r9Rs

Solving Hyperbolic Equations | Mr Mathematics
https://www.youtube.com/watch?v=9uAnLrmqZkA

Why hyperbolic functions are actually really nice
https://www.youtube.com/watch?v=HnHnEnkZpJA

CALCULUS 2 CH 16 HYPERBOLIC FUNCTIONS
https://www.youtube.com/playlist?list=PLX2gX-ftPVXWNzq7-reR-YY_OzGvaArl3

Features of the Hyperbola (1 of 3: Comparisons between algebra of Ellipses & Hyperbola)
https://www.youtube.com/watch?v=AxC4dWuLt7A

Features of the Hyperbola (2 of 3: Finding the Asymptotes and Conjugate Hyperbola)
https://www.youtube.com/watch?v=08QSkp-GoSA

Features of the Hyperbola (3 of 3: Proving Rectangular Hyperbola using Asymptotes)
https://www.youtube.com/watch?v=TYEFhtGPdXw

Conic Sections, Hyperbola , Shifted : Find Asymptotes
https://www.youtube.com/watch?v=zpKJQAQ4SyI

Hyperbola Equation Given Asymptotes and Vertices
https://www.youtube.com/watch?v=y_HtXVzuRr8

Equation of Hyperbola Given Asymptotes and Foci
https://www.youtube.com/watch?v=jFC-JV9MokY

Write the equation of a hyperbola given vertices and length of conjugate axis
https://www.youtube.com/watch?v=tRSJCbxwZpg

Conic Sections
https://www.youtube.com/playlist?list=PLDDDAA7E0D61A5CFA

Conic Sections: Hyperbolas, Ellipses, Parabolas, Circles (How to Graph)
https://www.youtube.com/watch?v=b7gJuUN-1GU

Hyperbolic trig functions | MIT 18.01SC Single Variable Calculus, Fall 2010
https://www.youtube.com/watch?v=er_tQOBgo-I

The applications of hyperbolic trig | Why do we even care about these things?
https://www.youtube.com/watch?v=Y66Y6ksLP6Y

Find the Vertices, Foci, Asymptotes and Graph the Hyperbola
https://www.youtube.com/watch?v=PrOw-mJdqIo

Find the Vertices, foci and Asymptotes then Graph the Hyperbola away from the origin
https://www.youtube.com/watch?v=pGepyJFeBUM

Hyperbola, find equation given vertices and ends of conjugate axis
https://www.youtube.com/watch?v=tOo-e0IClHE

部分資料來源: 學習吧
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