▼ Summary of high school mathematics knowledge points 1
What are the four forms of 1. proposition and their relations?
A proposition with reciprocal negation is an equivalent proposition. )
Both the original proposition and the negative proposition are true and false; Whether it is an inverse proposition or not, a proposition is the same as true or false.
2. Do you know the concept of mapping? Mapping F: A → B, have you noticed the arbitrariness of elements in A and the uniqueness of corresponding elements in B? What kind of correspondence can form a mapping?
(one-to-one, many-to-one, allowing the elements in B to have no original image. )
3. What are the three elements of a function? How to compare whether two functions are the same?
(Definition domain, corresponding rule, value domain)
4. What are the conditions for the existence of the inverse function?
(One-to-one correspondence)
Have you mastered the steps of finding the inverse function?
(① Inverse solution x; ② exchange x and y; (3) indicate the domain name)
5. What are the properties of the inverse function?
① the image with reciprocal function is symmetrical about the straight line y=x;
(2) keeping the monotonicity and odd function of the original function;
6. What are the necessary (insufficient) conditions for the function f(x) to have parity?
(f(x) domain is symmetric about the origin)
▼ Summary of high school mathematics knowledge points 2
1 and solutions from three angles;
① Find out or make relevant angles.
② Prove that it meets the definition and point out the required angle.
③ Calculate the size (solve the right triangle, or use cosine theorem).
2. Regular prism-a regular prism with a regular polygon at the bottom.
Regular pyramid-the bottom is a regular polygon, and the projection of the vertex at the bottom is the center of the bottom.
The calculation of the right pyramid is concentrated in four right-angled triangles:
3. How to judge the positional relationship between the straight line L and the circle C?
The distance from the center of the circle to the straight line is compared with the radius of the circle.
When a straight line intersects a circle, pay attention to the application of the "vertical diameter theorem" of the circle.
4. For the linear programming problem: make a feasible region, make a straight line with the objective function as the intercept, and translate the straight line in the feasible region to find the maximum value of the objective function.
Don't look at regret! Tsinghua's famous teacher reveals the way to learn high school mathematics well.
Cultivating interest is the key. Students are interested in mathematics and naturally have the motivation to learn. How to cultivate interest?
(1) Appreciate the beauty of mathematics
For example, symmetry in geometric figures, invariants before and after transformation, strict concept and strict logic. ...
For example,
By discussing the rotation transformation and its invariants, it can be proved that the images of inverse proportional function and "hook function" are hyperbolas-point sets whose absolute value of the distance difference between two fixed points on a plane is fixed (less than the distance between the two fixed points).
(2) Pay attention to the application of mathematics in real life.
For example, the average capital and equal principal and interest, which are closely related to daily life, can be understood by the knowledge of series.
Learning mathematics well is one of the basic qualities of modern citizens.
(3) Adopt flexible teaching methods to keep pace with the times.
Using a variety of technical means, combining sound, light and electricity, teachers can make some knowledge more specific and vivid, and students can accept it more easily and understand it deeper.
(4) read some popular science books and articles properly.
For example, when learning conic curves, you can look at the shapes of some buildings. The curves cut in plane are often all kinds of conic curves, which are introduced in many articles. There are also applications of optical properties of conic curves, and there are many articles in this field.
▼ Summary of high school mathematics knowledge points 3
1, sampling methods mainly include: simple random sampling (lottery method, random number table method) is often used when the population is small, and its characteristic is to extract from the population one by one; Systematic sampling is often used when the total number is large, and its main feature is that it is evenly divided into several parts, and only one copy is taken from each part; The main feature of stratified sampling is stratified proportional sampling, which is mainly used for obvious differences among people. Their similarity is that the probability of each individual being drawn is equal, which reflects the objectivity and equality of sampling.
2. Estimation of population distribution-the frequency of sample occurrence is used as the probability of population, and the expectation and variance of sample are used to estimate the expectation and variance of population.
3. Vector-a quantity with both magnitude and direction. Under this rule, the vector can move in parallel in the plane (or space) unchanged.
4. Parallel vector-a vector with the same or opposite direction. Specifies that the zero vector is parallel to any vector.
Senior high school mathematics knowledge summary related articles:
★ High school mathematics learning method: the most complete version of knowledge point summary
★ Full summary of high school mathematics knowledge points, the most complete version.
★ Summary of high school mathematics knowledge points
★ Summary of mathematics knowledge points in senior three and senior one.
★ Comprehensive summary of mathematics knowledge points in senior one.
★ Summary of high school mathematics knowledge points
★ Summary of high school mathematics knowledge points and daquan of formulas
★ Summary of Mathematics Knowledge Points in Senior Two
★ Summarize the latest knowledge points of high school mathematics.
★ A complete collection of high school mathematics knowledge points
var _ HMT = _ HMT | |[]； (function(){ var hm = document . createelement(" script ")； hm.src = "/hm.js？ 6990 a 94c 9 BF 3c ca 8 17 150d 7468 a 26 be 6 "； var s = document . getelementsbytagname(" script ")[0]； s.parentNode.insertBefore(hm，s)； })();