1, equations and inequalities

Solutions of linear and quadratic equations with letter coefficients. Distribution of roots of quadratic equation with one variable.

Solutions of linear and quadratic equations with absolute values.

Solution of one-dimensional linear inequality with letter coefficient, solution of one-dimensional linear inequality.

One-dimensional linear inequality with absolute value.

Simple linear indefinite equation.

Solving application problems with column equations (groups).

2. Function

Images and properties of y=|ax+b|, y=|ax2+bx+c| and y = ax2+bx+c.

The maximum value of a quadratic function in a given interval. Maximum value of simple fractional function, quadratic function with letter coefficient.

References:

Competition in quadratic function/view/3781f3c258f61fb7366675.html.

3. Geometry

Four propositions and their relations.

Unequal relation of triangle. Unequal relations between angles in the same triangle and between angles in different triangles.

Area and equal product transformation.

The heart of a triangle (inner heart, outer heart, hanging heart, center of gravity) and its properties.

References:

Area method for selecting topics in junior high school mathematics competition/view/82d42bfbbba0d4a7302763a42.html.