What are the math formulas for sophomores? 5

The math knowledge points and formulas of the second year of high school are as follows:

1. Composite function defines the domain.

If the domain of the function y=f(u) is b, and the domain of u=g(x) is a, then the domain of the composite function y=f is d=the range of x of each part of the comprehensive examination hall, and take their intersection.

Finding the definition domain of a function should mainly consider the following points:

When it is an integer or odd root formula, the range of r.

When it is an even radical, the number of squares to be opened is not less than 0 (i.e., 0).

When it is a fraction, the denominator is not 0; When the denominator is an even radical, the number of squares to be opened is greater than 0.

When exponential, the base is not 0 for the exponential power of zero or negative integer exponential power.

When it is formed by combining some basic functions through four operations, its definition domain should be the set of values of independent variables that make each part meaningful, that is, find the intersection of the set of definition domains of each part.

The definition domain of a piecewise function is the union of the set of values of the independent variables on each segment.

In addition to making the analytic expression meaningful, the function established by the practical problem should also consider the requirements of the practical meaning for the independent variables.

For functions with parameter letters, the values of the letters should be classified and discussed when finding the definition domain, and it should be noted that the definition domain of the function is a non-empty set.

The true number of the logarithmic function must be greater than zero, and the base number must be greater than zero and not equal to 1.

2. Compound functions are common in the form of filial piety.

Knowing that f(x) defines the domain as a, find the domain of f: the essence is that the range of g(x) is known to be a, so as to find the range of x.

Knowing that f defines the domain as b, find the domain of f(x): the essence is that the range of x is known to be b, so as to find the range of g(x).

Knowing that the domain of f is c, find the domain of f: the essence is that the range of x is c, so as to find the range of g(x) (i.e., the domain of f(x)); This is then taken as the range of h(x) and then the range of x is obtained.

The mathematical formula for senior one is introduced as follows:1. Reciprocal relationshiptanα·cotα＝1

sinα·cscα＝1

cosα·secα＝1

2. Business relationshipsinα／cosα＝tanα＝secα／cscαcosα／sinα＝cotα＝cscα／secα3. Trigonometric formula for the sum and difference of two anglessin（α＋sinαcosβ＋cosαsinβsin（α－sinαcosβ－cosαsinβcos（α＋cosαcosβ－sinαsinβcos（α－cosαcosβ＋sinαsinβtan（α＋tanα＋tanβ）／1-tanαtanβ）tan（α－tanα－tanβ）／1＋tanα·tanβ）<

4. The sine, cosine and tangent formulas of the double angle (the formula of the rising and shrinking angles).

sin2α＝2sinαcosα

cos2α＝cos^2(α）sin^2(α）2cos^2(α）1＝1－2sin^2(α）

tan2α＝2tanα／

5. Half-angle formulasin 2( 2) (1 cos ) 2cos 2( 2) (1 cos ) 2tan 2( 2) (1 cos ) 1 cos ) also has tan( 2) = (1 cos ) sin sin (1+cos )

There are detailed formulas for high school mathematics as follows:

1. Applicable conditions: the straight line must have ECOSA = (x-1) (x+1) when the focus is crossed, where a is the angle between the straight line and the axis where the focus is located, which is an acute angle. x is the separation ratio and must be greater than 1.

The above formula fits all conic curves. If the focus is divided (meaning that the focus is on the cut line segment), use this formula; , if the outer focus is on the extension of the cross-sectional segment, the right is (x+1) (x-1), and the others remain unchanged.

2. The periodicity problem of the function: if f(x)=-f(x+k), then t=2k, if f(x)=m(x+k)(m is not 0), then t=2k, if f(x)=f(x+k)+f(x-k), then t=6k, periodic function, the period must be infinite, and the periodic function may not have a minimum period, such as a constant function. The addition of a periodic function to a periodic function is not necessarily a periodic function, e.g. y=sinxy=sin faction x addition is not a periodic function.

3. Regarding the symmetry problem: the image of the function y=f(a+x) and y=f(b-x) is symmetrical with respect to x=(b-a) 2, if f(a+x)+f(a-x)=2b, then the f(x) image is symmetrical with respect to (a, b) center.

4. Function parity: for the odd function belonging to r, there is f(0)=0, for the function with parameters, the odd function has no even power term, and the even function does not have an odd power term, and the parity has little effect, and is generally used to choose to fill in the blank.