What are the knowledge points of high school mathematics compulsory one, and what are the knowledge

1. For a given set, the elements in the set are deterministic, and any object is or may not be an element of the given set.

2. in any given setAny two elements of this are different objects, and when the same object is grouped into a set, only one element is counted.

3. The elements in the set are equalThere is no order in which to determine whether two sets are the same, only to compare whether their elements are the same, and not to check whether the order of arrangement is the same.

In a planar Cartesian coordinate system, an image with a quadratic function y=x 2,It can be seen that the image of the quadratic function is a parabola.

5. The three characteristics of the elements of the set make the set itself deterministic and holistic.

Content from user: Daniel Zhang.

1. Common methods for finding the definition domain of functions:

1. The denominator of the fraction is not equal to zero; 2. The number of open squares of even square roots is greater than or equal to zero; 3. The true number of logarithms is greater than zero; 4. The base of the exponential function and the logarithmic function is greater than zero and not equal to 1; 5. Trigonometric tangent function; cotangent function in ; 6. If the function is an analytic formula determined by the actual meaning, the range of its values should be determined according to the actual meaning of the independent variable.

2. Common methods for finding the analytic formula of a function:

1. Definition method; 2. Substitution method; 3. Pending coefficient method; 4. Functional equation method; 5. a parametric method; 6. Matching method.

3. Common methods for finding the value range of functions:

1. Substitution method; 2. Matching method; 3. Discriminant method; 4. Geometric method; 5. Inequality method; 6. Monotonicity method; 7. Direct method.

Fourth, the common method of finding the minimum value of a function:

1. Matching method; 2. Substitution method; 3. Inequality method; 4. Geometric method; 5. Monotonicity method.

5. Common conclusions on the monotonicity of functions:

1. If they are all increasing (decreasing) functions on an interval, then they are also increasing (decreasing) functions in this interval.

2. If it is an increase (decrease) function, then it is a decrease (increase) function.

3. If is the same as the monotonicity of , it is an increasing function; If is different from the monotonicity of , then is a subtractive function.

4. The monotonicity of odd functions in the symmetry interval is the same, and the monotonicity of even functions in the symmetry interval is opposite.

5. Motonicity solutions to common functions: comparing sizes, evaluating ranges, finding maximums, solving inequalities, proving inequalities, and making function images.

6. Common conclusions on the parity of functions:

1. If an odd function is defined everywhere, then if a function is both odd and even, then (and vice versa).

2. The sum (difference) of two odd (even) functions is an odd (even) function; The product (quotient) is an even function.

3. The product (quotient) of an odd function and an even function is an odd function.

4. If one of the two functions is an even function, then the composite function is an even function; When both functions are odd, the composite function is odd.

5. If the domain of the function is symmetrical with respect to the origin, then can be expressed as , and the characteristic of the equation is: the right end is the sum of an odd function and an even function.

Table 1 Exponential functions.

Logarithmic number function.

Define the image properties of the domain value range over the fixed point.

Over-fixed point subtraction function increase function subtraction function increase function.

Table 2 Power functions.

Odd and even functions.

The first quadrant property is a subtraction function and an increase function that is overfixed.

Uh....Isn't it in the book?

Each chapter has a summary, and the knowledge points are all on it.

Functions are important, but I forgot that there is a function in the compulsory one, but I can tell you that mathematics depends on reading, and it is basically useless to memorize knowledge points, mainly to do problems, practice makes perfect.