Question 1: How to learn analytic geometry in senior high school? First of all, the knowledge of analytic geometry is necessary. Only the establishment of knowledge system can make you know more about this knowledge. Second, you should learn to make full use of the knowledge of plane geometry in junior high school. Analytic geometry is, in the final analysis, a kind of calculation, which itself is a system established to solve plane geometry problems. The test is who can calculate accurately and quickly, so you should try to reduce the steps and time of calculation to be faster and more accurate, which requires knowledge of plane geometry. Sometimes when used, the topic will become very simple. Third, it is a familiar method, and several common methods for solving point trajectories must be familiar. Also, sometimes when doing problems, don't pursue some ideas too much. The definition and essence of regression is also a good method, and the simplest is the best. Fourth, doing more questions is the quickest way to get familiar with these methods and skills, and you don't have to practice a lot of calculations, but more skills.

I believe that if you find a way to learn, you will get good grades!

Question 2: How to learn analytic geometry well in senior high school? Mathematics is one of the compulsory subjects, so we should study it seriously from the first day of junior high school. So, how can we learn math well? Introduce several methods for your reference:

First, pay attention to the lecture in class and review it in time after class.

The acceptance of new knowledge and the cultivation of mathematical ability are mainly carried out in the classroom, so we should pay attention to the learning efficiency in the classroom and seek correct learning methods. In class, you should keep up with the teacher's ideas, actively explore thinking, predict the next steps, and compare your own problem-solving ideas with what the teacher said. In particular, we should do a good job in learning basic knowledge and skills, and review them in time after class, leaving no doubt. First of all, we should recall the knowledge points the teacher said before doing various exercises, and correctly master the reasoning process of various formulas. If we are not clear, we should try our best to recall them instead of turning to the book immediately. In a sense, you should not create a learning way of asking questions if you don't understand. For some problems, because of their unclear thinking, it is difficult to solve them at the moment. Let yourself calm down and analyze the problems carefully and try to solve them by yourself. At every learning stage, we should sort out and summarize, and combine the points, lines and surfaces of knowledge into a knowledge network and bring it into our own knowledge system.

Second, do more questions appropriately and develop good problem-solving habits.

If you want to learn math well, it is inevitable to do more problems, and you should be familiar with the problem-solving ideas of various questions. At the beginning, we should start with the basic problems, take the exercises in the textbook as the standard, lay a good foundation repeatedly, and then find some extracurricular exercises to help broaden our thinking, improve our ability to analyze and solve problems, and master the general rules of solving problems. For some error-prone topics, you can prepare a set of wrong questions, write your own problem-solving ideas and correct problem-solving processes, and compare them to find out your own mistakes so as to correct them in time. We should develop good problem-solving habits at ordinary times. Let your energy be highly concentrated, make your brain excited, think quickly, enter the best state, and use it freely in the exam. Practice has proved that at the critical moment, your problem-solving habit is no different from your usual practice. If you are careless and careless when solving problems, it is often exposed in the big exam, so it is very important to develop good problem-solving habits at ordinary times.

Third, adjust the mentality and treat the exam correctly.

First of all, we should focus on basic knowledge, basic skills and basic methods, because most of the exams are basic topics. For those difficult and comprehensive topics, we should seriously think about them, try our best to sort them out, and then summarize them after finishing the questions. Adjust your mentality, let yourself calm down at any time, think in an orderly way, and overcome impetuous emotions. In particular, we should have confidence in ourselves and always encourage ourselves. No one can beat me except yourself. If you don't beat yourself, no one can beat my pride.

Be prepared before the exam, practice routine questions, spread your own ideas, and avoid improving the speed of solving problems on the premise of ensuring the correct rate before the exam. For some easy basic questions, you should have a 12 grasp and get full marks; For some difficult questions, you should also try to score, learn to score hard in the exam, and make your level normal or even extraordinary.

It can be seen that if you want to learn mathematics well, you must find a suitable learning method, understand the characteristics of mathematics and let yourself enter the vast world of mathematics.

How to learn math well II

To learn mathematics well, senior high school students must solve two problems: one is to understand the problem; The second is the method.

Some students think that learning to teach well is to cope with the senior high school entrance examination, because mathematics accounts for a large proportion; Some students think that learning mathematics well is to lay a good foundation for further study of related majors. These understandings are reasonable, but not comprehensive enough. In fact, the more important purpose of learning and teaching is to accept the influence of mathematical thought and spirit and improve their own thinking quality and scientific literacy. If so, they will benefit for life. A leader once told me that the work report drafted by his liberal arts secretary was not satisfactory, because it was flashy and lacked logic, so he had to write it himself. It can be seen that even if you are engaged in secretarial work in the future, you must have strong scientific thinking ability, and learning mathematics is the best thinking gymnastics. Some senior one students feel that they have just graduated from junior high school, and there are still three years before their next graduation. They can breathe a sigh of relief first, and it is not too late to wait until they are in senior two and senior three. They even regard it as a "successful" experience to "relax first and then tighten" in primary and junior high schools. As we all know, first of all, at present, the teaching arrangement of senior high school mathematics is to finish three years' courses in two years, and the senior three is engaged in general review, so the teaching progress is very tight; Second, high school ... >>

Question 3: How to learn analytic geometry well in senior high school? It is difficult to learn to analyze geometry problems, but more than half of the points are defined by propaganda. You must remember that he will have a certain pattern. As long as you do more questions and practice more, you will be familiar with the only way to do them.

Question 4: How can we learn analytic geometry well in senior high school? 1. Don't be afraid of the tedious calculation of analytic geometry. Do it yourself, and it will be easy to talk on paper.

2. Remember the formula of analytic geometry.

3. Summarize some small conclusions.

Question 5: How to learn analytic geometry well, especially conic curve? The following is my personal experience, you can learn from it!

First, the main characteristics of the cone problem: Generally speaking, the idea of solving the problem is relatively simple, but the amount of calculation is more complicated. Therefore, to break through this kind of questions, we must strengthen our ability in the following aspects: first, master the basic methods and commonly used formulas for solving problems; The second is to improve the meta-computing ability and summarize some simple operation skills; The third is to understand and use several main mathematical ideas (namely, the combination of numbers and shapes, functions, classified discussion, transformation and overall replacement); Fourth, master some common setting skills (this is the key to reduce the amount of meta-calculation).

Second, the distribution position of such questions in the college entrance examination questions: generally placed in the position of the fourth largest question. It is generally divided into three small questions: the first small question is generally the trajectory of finding a point (4 points); The second and third questions are other types of questions (such as finding fixed points, straight lines, fixed distances, maximum values, etc.). ), accounting for 5 points respectively. (When setting the equation of a straight line, pay attention to whether there is a slope. )

3. Key theoretical knowledge of conic section: (1) Basic methods for finding the locus of moving point: 1, definition method (also called direct method or geometric method): it can be found according to the definition of conic section (note: this method takes precedence) 2. Indirect method: first set the coordinates of moving point, then find several equivalent relationships according to known conditions, and then simplify; 3. Orbit intersection method: it is transformed into the intersection trajectory of other curves; 4. Parametric method: firstly, express the expression of moving point coordinates with parameters, and then eliminate the parameters. (2) The second definition of ellipse: If the ratio of the distance from a moving point to a fixed point to an alignment is less than 1, the trajectory of the moving point is an ellipse. (This ratio is actually eccentric, the fixed point is the focus, and the straight line is the directrix. The second definition of hyperbola is similar, except that the ratio is changed to greater than 1. The area formula of the focal triangle of an ellipse is SPF1F2 = B2 * tan @/2; The focal radius formula of hyperbola: AF 1=ex-a, af2 = ex+a; The area formula of hyperbolic focal triangle is SPF 1f2 = b 2/tan @/2. (where A is a point on an ellipse or hyperbola, X is the abscissa of point A, E is eccentricity, @ is the angle of F 1pF2) (4) If a straight line passing through the focus of parabola Y 2 = 2px intersects with parabola at points A and B, then there are x1* x2 = p 2/4, y/kloc. (It is better to deduce the above conclusions by yourself. (5) When the vertex P of the focal triangle pF 1F2 of the ellipse coincides with the endpoint of the short axis, the angle F 1pF2 is the largest. (This is the key to scoring even if you can't do this kind of problem): 1, Vieta's theorem: x 1+x2 =-b/a, x1* x2 = c/a.

2. Chord length formula: the arithmetic square root of the value of d = (1+k2) * ((x1+x2) 2-4x1x2).

3. Midpoint chord formula (its main function is to establish the relationship between the coordinates of the midpoint and the slope of the straight line): 1. When the straight line intersects the ellipse (x 2/a 2+y 2/b 2 =1), then k = (y1-y2)/.

2. When a straight line intersects a hyperbola (x 2/a 2-y 2/b 2 = 1), k = b 2 * x0/(a 2 * y0) 3. When a straight line intersects a parabola (y 2 = 2px), k=p/y0.

(where A(x 1, y 1) and B(x2, y2) are the intersections of two curves, while (x0, y0) is the midpoint of a and b, and k is the slope of a straight line), the questions of conic curves can be roughly divided into the following categories: 1, fixed-point questions.

2. Alignment problem 3. Maximum and minimum problem 4. Fixed length or distance problem 5. Parameter range problem 6. Question combination vector

As for the specific problem-solving methods of these kinds of problems, you should first summarize them through a large number of exercises, and I won't give them to you directly for the time being, because only through your own thinking can you understand them more deeply and use them more freely. Of course, there are many other questions and methods of conic curve, so you have to dig them yourself. It is inconvenient and impossible to give it here, because the math problems are ever-changing, but there are also right and wrong ... >>

Question 6: How to learn analytic geometry and solid geometry well? Specific methods Analytic geometry belongs to trigonometric function and plane rectangular coordinate system.

Solid geometry refers to a three-dimensional plane,

It shouldn't be difficult to learn the basics well.

Foundation: Plane geometry of triangular coordinate system

Question 7: High IQ is needed to learn analytic geometry well in high school mathematics. How to learn well is to spell IQ ~