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The test paper covers the main knowledge of high school mathematics well, and most of the topics are the examination of basic concepts and basic problem-solving methods, to check whether students take the study of high school knowledge seriously and review before the exam. For students above the intermediate level, they can show their mathematical foundation more.
Most of the questions in the test paper will make students feel friendly, such as the second question, which examines the module length of complex numbers. If we pay attention to the relationship between the modular length product of complex numbers and the modular length of complex numbers, we can kill them and save time. Question 6 examines the image properties of conventional cosine functions, but most of the exercises in our class are sinusoidal, and cosine functions are not practiced much, but in fact, we can be familiar with sine with inductive formulas. There are also triangle 17, probability and statistics application 18, solid geometry 19, and 23 inequalities. They are common problems in students' daily training, and it is not difficult to solve them as long as they have a solid foundation.
In view of this phenomenon, it is suggested that students must lay a solid foundation before challenging difficult problems, pay attention to a solid and comprehensive round of review, and never aim too high or take chances. In particular, the final elective content is either one or the other. It is strongly recommended that students should know the routine questions of both questions and give themselves the opportunity to choose, instead of practicing only one of them.
For some comprehensive problems, pay more attention to thinking ability, use basic models flexibly, and highlight the essence of mathematics. For example, 1 1 topic, a relatively comprehensive examination method of functions can be from zero to root and then to intersection, and the drawing method of composite function images, combined with image changes; We can also start with the symmetry of even function translation. 12 is the first final test vector in the new curriculum standard, but it is actually encountered in the simulation at ordinary times, and can be handled by coordinates in the standard compilation system; If you usually accumulate a lot, you can use equal coefficient and linear spike. Question 16, if you directly compare it to a cube, you can quickly draw a conclusion, and it is really difficult to think out of thin air. Question 20, the most important problem of parabola in our class, has been emphasized many times. Setting the form of point coordinates can reduce the amount of calculation, and then deal with the circle problem with standard vectors. Question 2 1 is a very classic function. We emphasized the important tangent of logarithmic function from the beginning, and then the treatment of inequality also belongs to the conventional routine, and logarithmic addition is transformed into real number multiplication.
Of course, for comprehensive questions, in our daily review, we should pay attention to the combination of knowledge points, even the combination of knowledge modules, and attach importance to the cultivation of mathematical thinking. We should not learn mathematics by rote, but should pay attention to analysis and understanding. Only by digging deep into the thinking connotation behind solving problems can we constantly train ourselves to better grasp the essence of mathematics and learn mathematics well.