In the first year of high school, you must memorize important knowledge points, and what are the kno

Summary of Mathematics Knowledge Points in Senior 1:

1. Parity of functions.

1) If f(x) is an even function, then f(x) = f(-x).

2) If f(x) is an odd function and 0 is in its defined domain, then f(0)=0 (can be used to find parameters).

3) The equivalence form that can be defined to determine the parity of the function: f(x) f(-x)=0 or (f(x)≠0).

4) If the analytic formula of the given function is complex, it should be simplified first, and then its parity should be judged.

5) the odd function has the same monotonicity in the symmetrical monotonic interval; Even functions have opposite monotonicity within a symmetrical monotonic interval.

2. Problems related to composite functions.

1) Finding the domain of the composite function: if the known domain of the definition is a, b], the domain of the composite function f can be solved by the inequality a g(x) b; If the domain of f is known to be a,b], find the domain of f(x), which is equivalent to x a,b], and find the domain of g(x) (i.e., the domain of f(x)); When studying the problem of functions, it is important to pay attention to the principle of defining domain preferences.

2) The monotonicity of the composite function is determined by "the same increase and the difference decrease".

Mathematics

Mathematics originated from the early production activities of human beings, and the ancient Babylonians have accumulated a certain amount of mathematical knowledge since ancient times, and can apply practical problems From the perspective of mathematics itself, their mathematical knowledge is only obtained by observation and experience, and there is no comprehensive conclusion and proof, but it is also necessary to fully affirm their contributions to mathematics.

The knowledge and application of basic mathematics is an integral part of individual and group life. The refinement of its basic concepts can be seen as early as ancient mathematical texts in ancient Egypt, Mesopotamia, and ancient India. Since then, there has been a steady stream of progress, but algebra and geometry have long been independent.

The above content reference: Encyclopedia - Mathematics.

The content of mathematics in the first year of high school includes "sets", "functions", "trigonometric functions", and "vectors".

Depending on the region, some places are required to study compulsory 1 and 2, and the main content of compulsory 2 is "Solid Geometry", which is simply "Analytic Geometry". In some places, the main content of compulsory 4 is "Trigonometric Functions" and "Vectors". Compulsory 1 is a must-learn, including "Sets" and "Functions".

How to learn math in the first year of high school.

First of all, it is important to cultivate good listening habits in classroom teaching. Secondly, it is necessary to improve the mathematical ability, and through the teacher's teaching, understand the position of the content learned in the textbook, and clarify the connection with the previous and subsequent knowledge, etc., only by grasping the textbook can we grasp the initiative of learning.

Thirdly, it is required that there must be a rhythm in mathematics learning, so that over time, the agility of thinking and mathematical ability will gradually improve; Finally, it is necessary to settle down, grasp the valuable problems in a timely manner, and make up the remaining problems in a targeted manner and pay attention to practical results.

The math knowledge points of the first year of high school are as follows:1. If the two points of a straight line are in a plane, then all the points on the line are in this plane.

3. The number of open squares of the even square root is not less than zero, and it is meaningless to take zero to the power of zero.

4. Commutation method: The commutation method is used to convert the function into a quadratic function evaluation range, which is suitable for both the internal and external forms of the radical formula.

5. True subset: If a b, and a ≠ b, then set a is a true subset of set b, denoted as ab (or ba).