The third step is to simplify it into a complete formula according to the topic (for example, in the form of y=a)

First, the combination of trigonometric function and vector to solve:

B. Probability maximum (range): evaluate the range first, and then find the range of y.

C monotonicity of solid geometry: firstly, the monotonicity of sin function is defined, and then it is substituted into the monotonic norm of sin function.

D, the conic curve circles the range of x (be sure to pay attention to the positive and negative of 2 here).

E, the periodicity of derivative: solve by formula.

F, sequence symmetry: To master the formulas of sin, cos and tan functions about axial symmetry and point symmetry.

2 senior high school math problem-solving skills

First, trigonometric functions and vector problem-solving skills

Translation questions: always remember that panning from left to right only changes X, and panning from top to bottom is the test site for Y. For this kind of questions, we must first know what we are generally tested on. I think it is necessary to make a change, always remember.

B. Probabilistic problem solving skills

Mainly to test the number product of our vectors and the simplification of trigonometric functions, and may also involve sine and cosine test sites: for liberal arts students, this kind of questions is mainly to test our theorem on the meaning of the topic, and the difficulty is generally not great. Understand and learn in the process of solving problems.

As long as you can master the formula skillfully, this kind of problem is not a problem. I can look at tree diagrams and lists, and the problem is quite simple. As long as you can accurately examine the questions, this kind of questions: this part of the big questions generally involves the following questions: the questions are sub-topics; Duili

For undergraduates, we should pay attention to the combination of permutation and combination, repeat the exam knowledge independently, and encounter problems at the same time, which requires us to master the knowledge points accurately.

Thinking of solving problems: the formulas of arrangement, expectation and variance are not difficult, and they all belong to sub-topics, but the first step is to express them according to vector formulas: there are two ways to express them. First, we must get all the scores.

One is the module length formula (this method is applied when the topic does not talk about coordinates), that is, the question type: I won't say much here, it is all about probability, and there is nothing novel. The other is to use the coordinate formula (this method tells the coordinates in the title), but pay attention to it once.

That is the linear programming problem encountered here, as well as the success rate, hit rate and prevention of basketball. The second step is the simplification of trigonometric function: the simplification methods all involve the similarity of the relationship between the lure and defense rate of trigonometric function.

Derive formulas (as long as the topic appears or is related to the angle, we should think of inductive formulas), topics.

Think about solving problems:

The first step is to understand the overall situation.

The second step is to find out the situation that meets the meaning of the question.

The third step is to compare the two, which is the probability required by the topic.

For science students, to master the formulas of expectation and variance, the most important thing is to find the probability of repeated experiments independently.

C, geometry problem-solving skills

Test center: This kind of questions mainly examines our feelings about space objects. I hope everyone can cultivate more three-dimensional sense and sense of space in the usual learning process and put themselves in such a three-dimensional space. This kind of problem is relatively simple for liberal arts students, but may be more complicated for science students, especially in the solution of dihedral angle, which is a huge challenge for science students.

Question type: this question type is divided into two categories: the first category is proof question, that is, proof is parallel (line is parallel to face, face is parallel to face), and the second category is proof vertical (line is vertical to face, line is vertical to face, face is vertical to face); The second is the calculation problem, including the calculation of pyramid volume formula, the distance from point to surface and the calculation of dihedral angle (mastered by science students).

There are two ways to prove that a straight line is parallel to a plane. For example, a straight line is parallel to the plane. One way is to find a straight line parallel to the plane (generally there is no ready-made straight line, so it is necessary to make an auxiliary line parallel to the straight line on the plane. Generally, the method of making this auxiliary line is to find the midpoint). Another method is to make a plane parallel to the plane through a straight line, and the method of auxiliary surface is basically to find the midpoint.

Prove that the planes are parallel: this kind of problem is relatively simple, that is, it is enough to prove that the two intersecting lines of these two planes are parallel.

Prove that a straight line is perpendicular to a surface, such as a straight line and a surface: this kind of problem mainly depends on whether there is a premise, that is, if the plane and the surface where the straight line is located have told us that it is perpendicular, then we only need to prove that the straight line is perpendicular to the intersection of the surface and the surface; If the title does not say that the plane where the straight line lies is perpendicular to the plane, then we need to prove that there are two intersecting straight lines on the vertical plane where the straight line lies.

In fact, to be honest, it is very simple to prove verticality. Generally, there are any Pythagorean theorems, and the verticality based on one theorem proves more (a straight line is perpendicular to a surface, then this straight line is perpendicular to any straight line on this surface).

Perpendicularity of witness surface and verticality of witness surface: this kind of problem is relatively simple, that is, it needs to be transformed into verticality of witness line.

Calculation of volume and distance from point to surface: If it is the volume of a triangular pyramid, we should pay attention to the application of the formula of equal volume method. Generally speaking, it is not difficult to test this thing. The key is to find the height. You must pay attention. As long as you find the height, you win. Do not use equal volume method for other cones except triangular pyramid. Equal volume method is a patent of triangular pyramid. Calculation of dihedral angle: This type is a nightmare for science students. There are two difficulties. One is to find out where the dihedral angle is, and the other is to know the length of the right triangle where the dihedral angle is located.