The way to do math problems, math problems should be very difficult for many people. Some people can't do math problems no matter how they do it, and they can't do it after spending a lot of time and energy. So what are the ways to do math problems? Read this article quickly and find out the answer.

Methods of doing math problems 1 Test sites of geometry problem solving skills:

This kind of question 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. For liberal arts students, this kind of problem is relatively simple in difficulty, but it may be more complicated for science students, especially in the solution of dihedral angle, which is a huge challenge for science students and has high requirements for science students. This kind of questions are divided into two categories: the first category is proof questions, that is, proof is parallel (lines are parallel to planes, planes are parallel to planes), and the second category is proof vertical (lines are vertical to planes, lines are vertical to planes, and planes are vertical to planes); 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:

One way is to find a line parallel to the surface (generally there is no ready-made line, at this time we need to make an auxiliary line parallel to the line on the surface. Generally, the method of 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. It is relatively simple to prove that the planes are parallel, that is, it is enough to prove that the two intersecting lines of these two planes are parallel.

Methods to do math problems 2 Conic curve problem solving skills:

In fact, this kind of problem is not very difficult. My personal understanding is mainly to test everyone's computing ability and understanding of the topic. At the same time, I hope everyone can understand the meaning and relationship of A, B, C and E in conic curve, and the two definitions of ellipse, hyperbola and parabola. If you don't know it now, remember it as soon as possible, or you won't know it during the exam. This kind of problem is generally the following methods: the first problem is generally to find the conic curve equation or the trajectory equation of a point, and the second problem is generally related to the straight line, either evaluating the domain, finding the fixed value, or finding the solution idea of the straight line equation:

Solving conic equation:

Generally speaking, there are two ways to solve the problem. One is to solve the problem directly according to the conditions of the problem (for example, the problem tells you the eccentricity of the curve and the coordinates of a certain point), and the other is to implicitly tell us the definition of the ellipse, and then let us ponder the meaning and write the equation of the curve. This kind of problem is more difficult. In fact, it mainly depends on our basic skills, which is not a problem for students with solid foundation. Finding the trajectory equation: This kind of problem requires us to set A(x, y) for the coordinates of the required point, then use point A to represent the coordinates of the known point B in the topic, and then substitute the coordinates of the indicated point into the trajectory equation of point B, so that the trajectory equation of point A can be found, which is generally a quadratic curve equation. If not, you may be wrong.

Skills of solving problems with function derivatives;

This kind of questions mainly test the application of derivative formula, the meaning of derivative, and clarify what derivative can be used for. If you don't know what derivatives can be used for, what can you talk about? In seeking guidance, I hope everyone can score as many points as possible, because it is not very difficult, mainly because you study hard and remember the methods. This score is a piece of cake for us. Maximum, monotonicity (extreme value), unknown range (inequality), unknown range (intersection or zero point)

Maximum value, monotonicity (extreme value):

First, find the derivative of the original function, then find the extreme point by finding the derivative function to zero, then draw a table to judge the monotonicity in each interval, and finally draw a conclusion. The range (inequality) of the unknown is actually a problem of finding the maximum in disguise. I don't know if you remember. Remember what I said in the lecture, put the unknown aside, put the known number on the other side, find the corresponding maximum, and we will win. This species looks complicated, but it's actually very simple, don't you think?

Unknown value range (intersection or zero):

If such people don't master the method, they will think, wow, why is it so difficult? Actually, it's not. It's simple. It's just that you have to be clear about the solution to this problem. First of all, we still need to put aside the unknown and the known number, so as to find the maximum value of the known number, and then simply draw a picture to analyze the range of the unknown.