After the test paper was handed out, the first thing I did was multiple-choice questions, and the status was average. I solved the multiple-choice question in 20 minutes. There is a good line instead of the question type, which is very different. I mainly investigated the definition, basic operations and formulas of matrix similarity. Other problems are not too difficult, only need a little calculation and reasoning. Because of the limited draft paper, I finished the draft of these questions on the test paper. I don't quite understand those students who complain that the following questions are too difficult. To tell the truth, the multiple-choice questions are very good, and the knowledge points are thoroughly examined, but the classic questions are rotten. Except for the line-breaking question, there is almost no original question this time, and you can see the shadow of the previous question. But in any case, the test is the most basic knowledge, almost all of which is a deep understanding of the definition theorem.

When it comes to fill-in-the-blank questions, except for a higher derivative, other questions are hardly difficult. My mistake is that I accidentally found a problem with a particularly large amount of calculation to find the higher derivative. There may be a simple algorithm for this problem, but I have never thought about it. After reading the variable limit integral equation, my first thought is to find the derivative, calculate the equation, and then use Leibniz formula or the uniqueness of power function expansion to solve it. But to my surprise, I found that this is a first-order differential equation, and the calculation amount is too large when solving it by formula method. However, the exam questions I did before are very common and can be calculated by visual inspection. After about 15 minutes of fighting, I found a functional expression of complex coefficients, a mixed power function and a linear function. There is no need to use Leibniz and maclaurin, but you can see it directly. (Later, when I answered the question, I found that this question was correct. However, because this question caused sudden tension, the next two fill-in-the-blank questions were miscalculated. One question about the rate of change is correct, but I forgot to add the coefficient V0. Another line of fill-in-the-blank questions was too anxious and gave up an unqualified plan. Finally, I didn't have time to check. As a result, I chose to fill in the blanks and those two easy-to-fill questions were wrong.

I have finished filling in the blanks for about 49 minutes. According to past experience, it's not too bad, but there's still a good chance to answer it. There is nothing to say about the first few questions in the calculation, but you can see the shadows of the first few questions. Among them, the integrand has an absolute value, and the definite integral about the variable X is the most classic. This question examines the examinee's deep understanding of definite integral and function independent variable, and it is still a comprehensive question. It investigates piecewise function to find the extreme value, and the knowledge points are very comprehensive, and the proposition has many innovations. There were similar problems a few years ago, but none of them were as good as this. The extreme value problem of another multivariate function is also satisfactory, and the calculation of this problem is not large. Do this type of problem more, and you will have experience. Finally, when using the judgment method, the molecule is almost zero, so there is not much calculation. The problem of double integral is not difficult. This is a standard questions. To get an integral problem, we must first look at symmetry, and then it turns out to be a simple direct coordinate system integral, in which an integral formula is used. If you are not familiar with the formula, candidates with a large amount of calculation really need to do more questions. There are no simpler double integral questions in Zhang Yu's eight sets of papers and four sets of papers. Is your usual simulation correct? The calculation of differential equations is really difficult, but the first few steps are simple and the latter is a bit complicated. I have reached the penultimate step of this problem, and I don't have enough time to work out the final answer. The problem of finding lateral area sum volume requires a lot of calculation, and it is not a big problem to skillfully use the formula. I calculated it carefully and spent some time. Perhaps the key is that I am too nervous and afraid of making mistakes, and I have to check it several times every time. There are about 50 minutes left to finish the last question of advanced mathematics. It's not difficult to get the last question. The key is that you should know what the average is. I can't say the specific definition of the mean (as if the outline doesn't require this formula), but I know that the mean is the function integral in the function interval divided by the length of the integral interval. This appeared when I proved a model of inventory management in operational research, and it was simple after listing the expressions. Experienced candidates will find that this is a variant form of double integral, so sort it out. But I have been looking at the time in the examination room, and I am very anxious, because according to past experience, the line generation is only 40 minutes, and this paper is definitely not good. I used a slightly more difficult method to solve this calculation. From the partial integration to the whole, the merger was simplified and solved smoothly. Look at the second question, proving the problem. In fact, it is not difficult for you to analyze the function with derivative tools, but because of the time, I want to solve the problem of line generation quickly before doing this proving problem, but the most tragic thing has happened. This year's line generation is much more difficult than last year, and the comprehensive difficulty can be regarded as the biggest year in 30 years, not only in the definition of formula, but also in the amount of calculation, plus the amount of calculation of high numbers. If you are me at ordinary times, the problem of generating the first line is quite satisfactory. I have forgotten this very common question today, and my only impression is that there are still some calculations. The second-line substitution problem is also quite good. I used to fill in the blanks in previous years. This kind of finding the higher order of matrix is nothing more than three situations: the first is to try to find the law several times first; The second is to split the matrix and expand it with Leibniz binomial; The third is to turn it into a diagonal matrix and do it with similar theory. Look at the position of this question, and then look at the second question. I didn't even think about it. I must examine the knowledge of matrix similarity diagonalization. When I listened to Zhang Yu and Li Yongle Line as substitutes, they all said that Zhang Yu was speaking alone, but Li Yongle was not systematic enough. At that time, I subconsciously summarized these three situations after class. Among them, similar diagonalization is omnipotent for matrices that can be similarly diagonalized, but everyone who has tried it knows that similar diagonalization is universal. Anyway, it's not difficult to calculate, but I calculated about 15 minutes, and the time is over after counting. Glancing at the second question, the bell rang. According to the calculation of the first question, it is likely to be 6+5 distribution.