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The chord length formula of the straight line section ellipse should be proved in detail and deduced step by step~
The above is suitable for the whole conic. If y is used, then x can be expressed by y
It is suggested not to remember the above formula
The chord length formula of a straight line section ellipse
Don't need any extra language! I don't want to see any derivation, and don't want to tell me anything else. Just type the formula here with the keyboard! If the focus of the ellipse has different chord length formulas on different coordinate axes, please type them all!
√(1+k^2) * √△/｜A｜
k: The slope of a straight line
Δ: the connection of straight line and curve equation
A: The constant before the quadratic term after the connection of linear and curvilinear equations
How to deduce the ellipse chord length formula d = √ (1 + K ^ 2) | x1-x2 |
The line y = KX + B is brought into the ellipse
Weida theorem,
d=√[x1-x2]^2+[y1-y2]^2
Line y1-y2 = kx1-kx2
Chord length formula of ellipse
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