1, real number
Decimal integer and its representation. Divisibility, the judgment of being divisible by 2, 3, 4, 5, 8, 9, 1 1.
Prime numbers and composite numbers, greatest common divisor and least common multiple.
Parity number, parity analysis
Division with remainder and classification with remainder.
Complete square number.
Representation of factorization, calculation of divisor.
Representation of rational number, closure of four operations of rational number.
2. Algebraic expressions
Comprehensive division and remainder theorem.
Disassembly, addition, formula and undetermined coefficient method.
Partial score.
Symmetry and rotational symmetry.
3. Identity and identity deformation
Identity, identity deformation.
Identities of algebraic expressions, fractions and roots.
Identification.
4. Equality and inequality
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).
5. 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.
6. Logical reasoning problem
Pigeonhole principle (concept), divided into graphics to make drawers, congruent to make drawers, and dyed to make drawers.
Simple combination problem.
Logical reasoning problem, reduction to absurdity.
Simple extreme principle.
Simple enumeration method.
7. 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.
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