1. sequence or trigonometric function
2. Solid geometry
3. Probability statistics
4. Conic curve
5. derivative creatures
6. Multiple choice questions (parametric equations and inequalities)
First of all, the order
This kind of topic is obviously more difficult, but it is not difficult to master routines and methods at the same time.
The sequence is mainly to solve the sum of the general term formula and the first n terms. The first is the general formula, which depends on the conditional form given in the title. Different forms correspond to different methods of solving problems, including formula method (definition method), accumulation method, cumulative multiplication method, undetermined coefficient method, reciprocal change method of mathematical induction and so on. Skillfully apply these methods and accumulate examples to achieve proficiency, and then find the sum of the first n items. There are four methods here, namely, reverse addition, dislocation subtraction and so on. Only the first n items are needed, and the above method can be considered. In most cases, dislocation subtraction is also a sub-item, so we must impose exercises and standardize writing steps here.
Second, trigonometric functions
The key to learning trigonometric functions is to memorize formulas and use them flexibly. In fact, high school mathematics is also a memory subject, and mathematics needs to be memorized. A lot of knowledge, solutions and theorems often require us to spend more time memorizing. Many times, we get stuck in the process of solving problems, not because we can't think of ideas, but because simple formulas or theorems are not well mastered or even recited, which is of course unfamiliar with the types of questions and methods of solving problems.
There are two methods to test trigonometric function, namely, solving trigonometric function and trigonometric function itself. About 10% to 20% probability is used to test trigonometric functions, and 80% to 90% probability is skillfully used. The reason for the low probability of solving trigonometric function is that it is simple enough to solve sub-problems. About solving trigonometric functions, we have learned three formulas, sine theorem, cosine theorem and area formula. Therefore, except for the area formula that must be used to find the area, if you can't judge the remaining formulas quickly, just try it, as long as you get the required results. The other is to examine the trigonometric function itself. The routine of this kind of problem is generally to give a relatively complex formula first, and then ask the monotonicity of the definition domain and periodic frequency of this function. The solution is to simplify the original formula with the sum and difference times and a half formula, and then solve the required problem. So in the final analysis, we still have to recite the formula.
Third, probability statistics.
Taking science mathematics as an example, the test center covers the compulsory and optional chapters of probability statistics, and examines the basic knowledge such as sampling method, statistical chart, digital characteristics of data, estimating the whole with samples, regression analysis, independence test, classical probability, geometric probability, conditional probability, probability of independent repeated trials, distribution list of discrete random variables, mathematical expectation and variance, hypergeometric distribution, binomial distribution and normal distribution. This sounds like a lot of content, but in fact, as long as you master the basic knowledge and the guidance of examples, you can consolidate it by doing an exercise later, and it is not difficult to get full marks in the probability statistics of the college entrance examination. But simplicity also requires us to be careful and rigorous, and remember not to make low-level mistakes such as forgetting the square and the root sign.
Fourth, solid geometry.
This problem is a little more difficult than the previous homework, and it may get stuck on some people. There are two or three problems in this question. The size of a line asked before can prove that a line or a surface is parallel or perpendicular to another line or another surface. The last problem is to find the dihedral angle. There are two methods to solve this kind of problem, traditional method and vector method, each with its own advantages and disadvantages. Vector method can be used in any situation, and the correct answer can be obtained without any technical content, but it has a large amount of calculation and is easy to make mistakes. Using vector method, a rectangular coordinate system is established first, and then every straight line can be represented by vector according to known conditions. Finally, the problem can be solved by using the knowledge of vectors. Traditional methods also require us to master all kinds of property theorems and judgment theorems skillfully, and solid geometry has a key point. It is the writing format, which is why many students will have such a question after the usual exam, "Why do you deduct my points here?" I have proved it? " It is because we usually don't pay attention to the writing steps that we lose a lot of points that we shouldn't lose. In this part of the inference, we must pay attention to the conditions and conclusions, and remember that several conclusions are indispensable, otherwise we will not get full marks even if the results are proved later.
Verb (abbreviation for verb) conic curve
Careful observation of the college entrance examination paper will reveal that the conic curve also has a certain routine. The general routine is to talk about the basic properties in the first half, the intersection of straight lines in the second half, and the steps in the second half are almost the same, that is, to set straight lines, then bring the linear equation into the conic curve, get a quadratic equation about X, analyze the discriminant, and use the results of Vieta's theorem to solve the unknown quantity. Here we should make clear its solution method: direct method (attribute method).
Six, derivative and function
The problems of derivatives and functions can be roughly divided into three categories:
Study on Monotonicity, Maximum and Extreme Value of 1.
2. Prove inequality
3. The function contains letters, and the value range of letters is discussed by classification.
Seven. parameter equation
This part of the topic can be said to be sub-topic, so I won't elaborate here. The only way is to brush all the college entrance examination questions over the years before the exam, so it is not difficult to get full marks.