Thursday, March 7, 2013

Issue 25: Analytical Geometry (Alg 2/Trig)

It's been a long time since I updated.
Well, I created one for Alg 2/ Trig.
This time I have some problems using equations in google doc/word so I had to create a website.
It's a crappy website I made in 10 minutes, don't complain. 
https://sites.google.com/site/amuletterei/nyan-cat-express-review
The link, Test 23 is there.
Images don't show up... They are important images. Teaches you a lot.
But I'll still tell you ppl when It's updated okay :D

Analytic Geometry:
The Circle
The Parabola
The Ellipse
Transformations of Ellipse
Hyperbola and its transformations
Identifying Conic Sections

To review:
Distance and Midpoint Formulas
-Pythagorean Theorem:
If the length of the hypotenuse of a right triangle is c, and the lengths of the other two sides (legs) are a and b, then .
-Converse of the Pythagorean Theorem:
 If the lengths a,b, and c of the sides of a triangle satisfy the equation c2=a2 + b2then the triangle is a right triangle and c is the hypotenuse
-Distance Formula
The Distance between the points P1( x1 , y1 )2 and P2( x2 , x2 )2
P1P2=
-The Midpoint Formula
The midpoint of the line segment joining P1( x1 , y1 )2 and P2( x2 , x2 )2 is
-Circles
Conic Sections (Conics): Plane curves with 2nd degree equations
Circle: the set of all points in a plane that are a fixed distance, called the radius, from a fixed point, called the center
Equation of a circle: The circle with center (h,k) and radius r has the equation
Sliding a graph to a new position is called a translation.
-Parabolas
A parabola is the set of all points equidistant from a fixed line, called the directrix and a fixed point not on the line called the focus.

-Ellipse


Each of the fixed points is called a focus (plural: foci) of the ellispe. If the foci are F1 and F2, then for each point P of the ellipse, PF1 and PF2 are the focal radii of P.
The center of an ellipse is the midpoint of the line segment joining the foci. The major axis of an ellispe is the chord passing through its foci. The minor axis is the cord containing the center and perpendicular to the major axis.
 

Hyperbola
The set of all points P in the plane such that the difference between the distances from P to two fixed points is a given constant.
Focus: The fixed points


Focal Radii: PF1 and PF2

No comments:

Post a Comment