台灣黑皮歐巴桑的學習祕笈

中英文版(高二下數學)第四章第二節 橢圓 (橢圓的定義 / 橢圓的方程式 /  橢圓的正焦弦長 / 橢圓的極值問題/ 橢圓的伸縮)

*108新課綱｜高二數學｜【觀念】橢圓的定義與標準式
https://www.youtube.com/watch?v=3l6_mf9SQOk

*108新課綱｜高三數學｜【觀念】橢圓的定義與基本性質
https://www.youtube.com/watch?v=0VO_Nfi11AA

*108新課綱｜高三數學｜【應用】橢圓的應用
https://www.youtube.com/watch?v=xFaaSDVZExw

*橢圓
https://www.youtube.com/watch?v=VWHJf0862Dk&list=PLGp8ELCpPPZMeRnpDsMh6z8NPaSSlva45

*高中_數學_橢圓_觀念4 木匠如何繪製橢圓
https://www.youtube.com/watch?v=Nh9OPuJ8isI

*高中_數學_橢圓_觀念5 繩長與焦點的關係
https://www.youtube.com/watch?v=1DsXgLTrozI

*B4--4-2--橢圓---橢圓的方程式--中心在原點橫躺的橢圓(理論)
https://www.youtube.com/watch?v=aSrOqV3OYIc

*B4--4-2--橢圓---橢圓的方程式--中心在原點橫躺的橢圓的逆向證明(理論)
https://www.youtube.com/watch?v=eM-ESO6hFso

*B4--4-2--橢圓的正焦弦長公式(理論)
https://www.youtube.com/watch?v=6LXoUXtFcOY

*B4--4-2--範例5---橢圓的正焦弦長公式(證明)
https://www.youtube.com/watch?v=HKP_fG2coMI

*高中_數學_利用GeoGeBra製作橢圓動態軌跡
https://www.youtube.com/watch?v=j9uHsrFfiBI

高中_數學_將繪製橢圓的圖形數學化
https://www.youtube.com/watch?v=SK0gqGegSZU&t=2s

*【解題】橢圓上的極值問題
https://www.youtube.com/watch?v=awSsazQdAZc

*B5--2-2---演練9---若P(x, y)點為已知橢圓方程式上的任一點，已知點A、B為橢圓上的點求三角形ABP的最大值
https://www.youtube.com/watch?v=0_jnmyRD3sU

*高中數學_二次曲線-橢圓_橢圓圖形的平移與伸縮_張淑娟
https://www.youtube.com/watch?v=g6dokfzg7j0

*高三進度｜二次曲線｜EP6 橢圓的定義｜楊翰數學
https://www.youtube.com/watch?v=0dBFdkM57q4

*高三進度｜二次曲線｜EP7.1 橢圓的方程式(觀念)｜楊翰數學
https://www.youtube.com/watch?v=KfgViDCc41M

*高三進度｜二次曲線｜EP7.2 橢圓的方程式(計算)｜楊翰數學
https://www.youtube.com/watch?v=AykpeswWabI

*高三進度｜二次曲線｜EP7.3 橢圓的方程式(性質)｜楊翰數學
https://www.youtube.com/watch?v=8dxeZN9sZf0

*高三進度｜二次曲線｜EP7.4 橢圓定義解題(1)｜楊翰數學
https://www.youtube.com/watch?v=6b9Hts9eJWY

*高三進度｜二次曲線｜EP7.5 橢圓定義解題(2)｜楊翰數學
https://www.youtube.com/watch?v=zSXzYBHOInw

*高三進度｜二次曲線｜EP8.1 圓的參數式｜楊翰數學
https://www.youtube.com/watch?v=bCPvWbiYJcw

*高三進度｜二次曲線｜EP8.2 橢圓的參數式(觀念)｜楊翰數學
https://www.youtube.com/watch?v=a2L-RMBVqrg

*高三進度｜二次曲線｜EP8.3 橢圓的參數式(計算)｜楊翰數學
https://www.youtube.com/watch?v=JDp3ak34FSo

*高三進度｜二次曲線｜EP9.1 橢圓的軌跡問題(1)｜楊翰數學
https://www.youtube.com/watch?v=UWpAJh5pmr8

*高三進度｜二次曲線｜EP9.2 橢圓的軌跡問題(2)｜楊翰數學
https://www.youtube.com/watch?v=bgoVDAosdjk

*高三進度｜二次曲線｜EP10 橢圓的應用問題｜楊翰數學
https://www.youtube.com/watch?v=09gdhM9vtgQ

*B4--4-2--範例13(2)---給定橢圓的方程式，求以原點為中心，此橢圓沿著x軸與y軸方向都伸縮2倍，求新的圖形的方程式與焦點座標
https://www.youtube.com/watch?v=ZUPD5OlhfcA

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

*橢圓 抛物線 雙曲線爲啥都是圓錐曲線？爲什麽長期能觀測到的行星都是橢圓運行的？李永樂老師帶妳了解原因
https://www.youtube.com/watch?v=dmhgsLhLTM4

高中_數學_橢圓_觀念6 橢圓的一些名詞
https://www.youtube.com/watch?v=gJvgeLQhCbU&t=4s

高中數學_二次曲線-橢圓_橢圓的標準式求各要素_張淑娟
https://www.youtube.com/watch?v=47ZiVyxDMHQ

李祥數學-橢圓的正焦弦長
https://www.youtube.com/watch?v=GjguoqxX5hQ

高中_數學_橢圓_觀念7 橢圓的正焦弦長
https://www.youtube.com/watch?v=SbnmSFxEplc

高中_數學_橢圓_觀念9 橢圓的參數式
https://www.youtube.com/watch?v=bGUEOn9cK_A

高中_數學_惠文高中_橢圓_橢圓的平移
https://www.youtube.com/watch?v=PE-Pw3lxXz8

高中_數學_橢圓_觀念12 橢圓的伸縮
https://www.youtube.com/watch?v=LBC3SMvu5bM

*What is an Ellipse? | Geometry, Ellipses Definition, Introduction to Ellipses
https://www.youtube.com/watch?v=AcpY-McmjaM

*The Best Explanation of the Equation of an Ellipse
https://www.youtube.com/watch?v=5TQMJ09MLWM

*Why slicing a cone gives an ellipse (beautiful proof)
https://www.youtube.com/watch?v=pQa_tWZmlGs

*draw a PERFECT ellipse with a string and two nails
https://www.youtube.com/watch?v=TGpCksJnYdA

Ellipse standard equation from graph | Precalculus | High School Math | Khan Academy
https://www.youtube.com/watch?v=_JrQF8Rkaio

*Write the equation of an ellipse given the foci and vertices
https://www.youtube.com/watch?v=Duwg0QqymSo

*Latus rectum of an Ellipse - a worked example
https://www.youtube.com/watch?v=zU62f-8lJic

*Series B - Part V - Latus Rectum of an ellipse in terms of Angular momentum
https://www.youtube.com/watch?v=bnw-37vaKXs

*Using an Integral and Geometry to Find the Formula for the Area of an Ellipse
https://www.youtube.com/watch?v=hTj9K6DXNic

*Optimization Question - Rectangle Inscribed in an Ellipse
https://www.youtube.com/watch?v=CeSJFJpeUiI

*Why is there no equation for the perimeter of an ellipse‽
https://www.youtube.com/watch?v=5nW3nJhBHL0

*Area of an Ellipse
https://www.youtube.com/watch?v=Mw3MeDLL8d4

*Arc Length: Perimeter of an Ellipse | Lecture 36 | Vector Calculus for Engineers
https://www.youtube.com/watch?v=FV27-H4X3PE

*14.5.6 Chain rule example: extreme values on an ellipse
https://www.youtube.com/watch?v=VsRKgUXDdCs

*Find the points on the ellipse that are farthest away from the point
https://www.youtube.com/watch?v=PDJsMMSfvZo

*Eccentricity of an Ellipse
https://www.youtube.com/watch?v=9hyQksn80ug

*Foci of an ellipse | Conic sections | Algebra II | Khan Academy
https://www.youtube.com/watch?v=QR2vxfwiHAU

*Everything you need to know for conic sections Ellipses
https://www.youtube.com/watch?v=Uy-Ig5zgNsE

*How to find the vertices and foci of an ellipse
https://www.youtube.com/watch?v=km7Juq6uqE8

*Conic Sections
https://www.youtube.com/watch?v=-1MzoyzWxo4&list=PLDDDAA7E0D61A5CFA

*AQA A-Level Further Maths D15-01 Conic Sections
https://www.youtube.com/watch?v=20TCc6gInL8&list=PLg2tfDG3Ww4vmO_If492UlJCOMGU0fEnm

What is the definition of an ellipse
https://www.youtube.com/watch?v=NjoN16z7u50

Writing Equations of Ellipses In Standard Form and Graphing Ellipses - Conic Sections  
https://www.youtube.com/watch?v=OPSCKXXvWiM

Latus rectum & eccentricity of an ellipse
https://www.youtube.com/watch?v=mO65BhwKPtw

Optimization Problems: An Ellipse
https://www.youtube.com/watch?v=uHcVGiH60jc

Conic Sections - Circles, Ellipses, Parabolas, Hyperbola - How To Graph & Write In Standard Form
https://www.youtube.com/watch?v=PLrgwD9TleU

部分資料來源: 學習吧
https://www.learnmode.net/knowledge/version?p=26#focus