CSCA.space
Launch Simulator
Home/Curriculum/Mathematics/Conic Sections: Ellipse, Hyperbola & Parabola
CSCA MathematicsChapter 3: Geometry & AlgebraAdvanced

Conic Sections: Ellipse, Hyperbola & Parabola

直线、圆与圆锥曲线(椭圆、双曲线、抛物线) · Node 3.1

Standard equation of lines, circles, focal definitions, eccentricity $e = c/a$, asymptotes $y = \pm \frac{b}{a}x$, and focal chord properties.

Chapter Weight: 25% of official examination
Practice This Node

Core Mathematical Axiom

Formula Proof & Traps
a2x2​+b2y2​=1(a2=b2+c2),a2x2​−b2y2​=1(c2=a2+b2),y2=2px
CSCA Exam Trap Alert

Confusing the relationship between $a, b, c$: for ellipse $a^2 = b^2 + c^2$, while for hyperbola $c^2 = a^2 + b^2$.

Previous Lesson
Derivatives: Tangent Lines, Extrema & Monotonicity
Next Lesson
Plane Vectors: Linear Operations & Dot Product