Summary of eighth grade mathematical mind map
The eighth grade mathematics, the second volume, arranges the knowledge points of inverse proportional function 1. Definition: shape like y= (k is a constant, k? 0) is called the inverse proportional function.
2. other forms xy=k (k is a constant, k? 0) Both.
3. Image: The image of inverse proportional function belongs to hyperbola.
The image of inverse proportional function is both axisymmetric and centrally symmetric.
There are two axes of symmetry: straight lines y=x and y =-X, and the center of the axis of symmetry is the origin.
3. Nature: When k> is 0, the two branches of hyperbola are located in the first quadrant and the third quadrant respectively, and the y value of each quadrant decreases with the increase of x value.
When k < 0, the two branches of hyperbola are located in the second and fourth quadrants respectively, and the y value of each quadrant increases with the increase of x value. ..
4.| k |: two coordinate axes representing point-to-point on the inverse proportional function image.
A rectangular area surrounded by a vertical line segment and two coordinate axes.
Summary of Pythagorean Theorem in Volume 2 of Grade 8 Mathematics 1. Pythagorean Theorem: If the lengths of two right angles of a right triangle are A and B, and the length of the hypotenuse is C, then a2+b2=c2.
2. The converse theorem of Pythagorean theorem: If the lengths of triangle A, B and C satisfy a2+b2=c2. Then this triangle is a right triangle.
A proposition that is proved to be correct is called a theorem.
We call two propositions with opposite topics and conclusions reciprocal propositions. If one of them is called the original proposition, then the other is called its inverse proposition. (Example: Pythagorean Theorem and Pythagorean Theorem Inverse Theorem)