On mathematical tongue twisters
The two principles of addition and multiplication are the laws that run through.
What has nothing to do with order is combination, but what needs order is arrangement.
Two formulas, two properties, two ideas and methods.
Arrange and combine the summary, and the application questions must be transformed.
It is common sense to arrange and combine together and choose the back row first.
Special elements and positions should be considered first.
Don't worry too much, and don't miss too much. Punching is a skill.
Arrange combinatorial identities and define proof modeling tests.
On binomial theorem, China Yang Hui Triangle.
Two properties, two formulas, function assignment transformation.
Classic tongue twisters in mathematics
The trinity of point, line and surface is represented by cone billiards.
All distances start from points, and all angles are made of lines.
Vertical parallelism is the key point, and the concept must be clear in the proof.
Line, line, plane, plane, triple cycle.
When the whole idea of the equation is solved, it becomes consciousness.
Before calculation, it is necessary to prove and draw the removed figure.
Auxiliary lines of solid geometry, usually vertical lines and planes.
The concept of projection is very important and the key to solving problems.
The dihedral angle and volume projection formulas of lines with different planes are vivid.
Axioms are naturally three vertical lines, which solve many problems.
Super difficult math tongue twister
Directed line segments, straight circles, elliptic hyperbolic parabolas, polar coordinates of parametric equations and the combination of numbers and shapes are called normal forms.
Descartes' viewpoint pair, point and ordered real number pair, both? First, communication, creating a new geometric way.
The two ideas reflect each other and turn into ideas to fight the front line; The undetermined coefficient method is actually the idea of equations.
Summarize three types, draw a curve to solve the equation, and give the curve of the equation and the relationship between the curves.
Four tools are magic weapons with good coordinate parameters; Plane geometry can not be lost, find the complex number of rotation transformation.
The solution to inequality is to use the properties of functions.
The unreasonable inequality of the opposite side is transformed into a rational inequality.
From high order to low order, step-by-step transformation should be equivalent.
The mutual transformation between numbers and shapes helps to solve problems.
The method of proving inequality is powerful in real number property.
Difference is compared with 0, and quotient is compared with 1.
Comprehensive method with good direct difficulty analysis and clear thinking.
Non-negative common basic expressions, positive difficulties are reduced to absurdity.
There are also important inequalities and mathematical induction.
Graphic function help, drawing modeling construction method.
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