Induction of Mathematics Knowledge Points in Senior High School Entrance Examination
Knowledge point 1: the basic concept of unary quadratic equation
1, the constant term of the unary quadratic equation 3x2+5x-2=0 is -2.
2. The coefficient of the primary term of the unary quadratic equation 3x2+4x-2=0 is 4, and the constant term is -2.
3. The quadratic term coefficient of the unary quadratic equation 3x2-5x-7=0 is 3, and the constant term is -7.
4. Transform the equation 3x(x- 1)-2=-4x into the general formula 3x2-x-2=0.
Knowledge point 2: Cartesian coordinate system and the position of points
1. In the rectangular coordinate system, point A (3 3,0) is on the Y axis.
2. In the rectangular coordinate system, the abscissa of any point on the X axis is 0.
3. In rectangular coordinate system, point A (1, 1) is in the first quadrant.
4. In rectangular coordinate system, point A (-2,3) is in the fourth quadrant.
5. In rectangular coordinate system, point A (-2, 1) is in the second quadrant.
Knowledge point 3: Find the function value of the known independent variable.
1. When x=2, the value of function y= is 1.
2. When x=3, the value of function y= is 1.
3. When x=- 1, the value of function y= is 1.
Knowledge point 4: the concept and nature of basic functions
1 and function y=-8x are linear functions.
2. The function y=4x+ 1 is a proportional function.
3. This function is an inverse proportional function.
4. The opening of parabola y=-3(x-2)2-5 is downward.
5. The symmetry axis of parabola y=4(x-3)2- 10 is x=3.
6. The vertex coordinate of parabola is (1, 2).
7. The image of the inverse proportional function is in the first and third quadrants.
Knowledge point 5: mean, median and mode of data
1, data 13, 10,12,8,7, the average value is 10.
2. The pattern of data 3, 4, 2, 4, 4 is 4.
3. The median of data 1, 2,3,4,5 is 3.
Knowledge point 6: Special trigonometric function values
1、cos30 = .
2、sin260 +cos260 = 1 .
3、2sin30 +tan45 =2 .
4、tan45 = 1 .
5、cos60 +sin30 = 1 .
Knowledge point 7: Basic properties of circles
1, the circumference angle or diameter of a semicircle is a right angle.
2. Any triangle must have a circumscribed circle.
3. In the same plane, the distance to a fixed point is equal to the trajectory of a fixed-length point, which is a circle with the fixed point as the center and the fixed length as the radius.
4. In the same circle or equal circle, the circular arcs with equal central angles are equal.
5. The circumferential angle of the same arc is equal to half the central angle.
6. The same circle or the same circle has the same radius.
7. After three o'clock, you can make a circle.
8. Two equal-length arcs are equal-length arcs.
9. In the same circle or equal circle, the circular arcs with equal central angles are equal.
10, the diameter of the chord bisected by the center of the circle is perpendicular to the chord.
Knowledge point 8: the positional relationship between straight lines and circles
1. When a line and a circle have only one common point, it is said that the line and the circle are tangent.
2. The center of the circumscribed circle of a triangle is called the outer center of the triangle.
3。 The tangent angle is equal to the central angle of the clamping arc.
The center of the inscribed circle of a triangle is called the heart of the triangle.
5. The straight line perpendicular to the radius must be the tangent of the circle.
6. The straight line passing through the outer end of the radius and perpendicular to the radius is the tangent of the circle.
7. The straight line perpendicular to the radius is the tangent of the circle.
8. The tangent of a circle is perpendicular to the radius of the tangent point.
Knowledge points of junior high school mathematics entrance examination
(1) The inevitable event refers to an event that can definitely happen, or the possibility of occurrence is100%;
(2) An impossible event refers to an event that will never happen;
(3) Random events refer to events that may or may not occur under certain conditions;
(4) the possibility of random events
Generally speaking, the probability of random events is different, and the probability of different random events may be different.
(5) Probability
Generally speaking, in a large number of repeated experiments, if the frequency of event A will be stable near a certain constant P, then this constant P is called the probability of event A, and it is recorded as p (a) = p 。
(6) the relationship between possibility and probability
The greater the possibility of an event, the closer it is to 1, while the smaller the possibility of an event, the closer it is to 0.
Mathematics review method for senior high school entrance examination
1. Return to the textbook and firmly grasp the basic knowledge.
Combined with the examination center, take the way of reconciliation, and pass the test one by one. Familiar with the common formulas and definitions of each unit, so that you can come with your mouth open. Be aware of the main problem-solving methods and problems in each chapter.
Practice these questions correctly.
Do more exercises in order to master the skills and tricks learned from practice. Different questions have different methods, and using different skills, especially the moving points in functions, is a hot topic now. Do more, but don't do too difficult questions, focus on learning.
At the same time, don't care too much about the number of brush questions. Every time you do a problem, you can understand the formula theorem behind this problem and the idea of doing the same type of problem. Learning to draw inferences from others can not only improve the review efficiency, but also better grasp the knowledge points.
3. Grasp the difficulties and difficulties
The focus of junior high school mathematics learning is function (including linear function, proportional function, inverse proportional function and quadratic function), with emphasis on meaning and nature; Triangle (including basic properties, similarity, congruence, rotation, translation, symmetry, etc. ); The properties, definitions and areas of quadrilateral (including parallelogram, trapezoid, prism, rectangle, square and polygon).
In a round of special review, we must pay attention to the above points, form our own knowledge network, and sort out the connections between various knowledge points, so as to easily deal with the final finale.
Redo the wrong problem
In the sprint stage, we should pick up the wrong questions, especially those in large-scale exams, analyze the causes of the mistakes by returning to the textbooks, and solve the problems from the root causes of the mistakes. Redoing the wrong questions is a good way to check and fill the gaps, which can spend less time and solve more problems.
The exam needs to master some skills.
When the test papers are handed out, we must first look at the amount of questions and allocate time. If you haven't found a way to solve the problem, you can put it aside for the time being, finish what you want to do, and think it over later. For answers with several questions, you can use the conclusions of the previous questions when answering the following questions. Even if the previous question is not answered, you can use it as long as the source of this condition is clear. In addition, be calm during the exam. If you encounter a problem that you can't do, you might as well use the psychology of self-consolation to calm your mind and give full play to your best level. Of course, comfort is comfort. For those problems that can't be done at once, we should still think hard and do what we can. There are certain steps.
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