Senior 1 math formulas all fast plus points

Mathematics in the first year of high school is the beginning of the learning career in high school, lay a good foundation in the first year of high school, so that it will be easier in the later mathematics learning The following is a summary of the mathematical formulas of the circle of the first year of high school that I bring to you, I hope it will help you.

The math formula for the first year of high school

Equation 1: Let any angle, and the value of the same trigonometric function for the same angle with the same terminal edge be equal:

sin(2kπ+αsinα

cos(2kπ+αcosα

tan(2kπ+αtanα

cot(2kπ+αcotα

Equation 2: Set to any angle, the relationship between the trigonometric value of + and the trigonometric value of

The cavity is wide sin( +sin

cos(π+cosα

tan(π+tanα

cot(π+cotα

Equation 3: The relationship between the trigonometric value of an arbitrary angle and the value of -

sin(-αsinα

cos(-αcosα

tan(-αtanα

cot(-αcotα

Equation 4: Using Equation 2 and Equation 3, we can get the relationship between - and the trigonometric value of

sin(π-sinα

cos(π-cosα

tan(π-tanα

cot(π-cotα

Equation 5: Using Equation 1 and Equation 3, we can get the relationship between the trigonometric values of 2 - and

sin(2π-αsinα

cos(2π-αcosα

tan(2π-αtanα

cot(2π-αcotα

Equation 6: 2 and 3 The relationship between the trigonometric values of 2 and

sin(π/2+α)cosα

cos(π/2+α)sinα

tan(π/2+α)cotα

cot(π/2+α)tanα

sin(π/2-α)cosα

cos(π/2-α)sinα

tan(π/2-α)cotα

cot(π/2-α)tanα

sin(3π/2+α)cosα

cos(3π/2+α)sinα

tan(3π/2+α)cotα

cot(3π/2+α)tanα

sin(3π/2-α)cosα

cos(3π/2-α)sinα

tan(3π/2-α)cotα

cot(3π/2-α)tanα

above k z).

The sine theorem states that in a triangle, the ratio of the sinusoids of each side to the angle to which it is opposite is equal, i.e., a sina = b sinb = c sinc = 2r(where r is the radius of the circumscribed circle).

The cosine theorem states that the square of either side of a triangle is equal to the sum of the squares of the other two vibrasal edges minus 2 times the product of the cosine at the angle between these two sides and them, i.e., a = b + c -2bccosa

The ratio of the opposite side of angle a to the hypotenuse is called the sine of angle a and is denoted as sina, i.e. sina = the opposite side of angle a hypotenuse.

The angle between the hypotenuse and the adjacent edge a

sin=y/r

Regardless of y>x or yx

No matter how big or small the A is, it can be any size.

The maximum value of the sine is 1 and the minimum value is -1

Let the three sides of the triangle be a, b, and c, and the opposite corners are a, b, and c. The first term of the equal difference series is a, the tolerance is d, and the sum of the first n terms is sn, and the first term of the equal ratio series is a, the common ratio is q, and the sum of the first n terms is tn(nn*), the radius of the circle, the radius of the bottom surface of the cone is r, the length of the conic bus is l, the volume of the geometry is v, and the surface area is s. The upper surface area of the round table is s, the radius is r, and the lower surface area is s'with a radius of r.

The upper surface area of the table is s, and the lower surface area is s'。The height of all vertebral bodies is h, and the circumference of the base surface is c. The inclination angle of the straight line is , the slope is k, and the two points on it are (x, y), x, y, and the slopes of the two straight lines are k and k.

Sine theorem: Cosine theorem:

The general term of the equal difference series is an=a +(n-1)d

Sum of the first n terms: the general term of the proportional series an=a q

The sum of the first n terms: solve the unary quadratic inequality: the first step is to find the root of the unary quadratic equation corresponding to the unary quadratic inequality, the second step is to make the quadratic function image corresponding to the unary quadratic inequality, and the third step is to write the solution set of the inequality according to the image.

Solving fractional inequalities: Reference: Solving fractional inequalities.

Solving the Absolute Value Inequality:

The basic idea of the absolute value inequality solution method is to remove the absolute value sign and transform it into a general inequality solution, and the transformation methods generally include: (1) the absolute value definition method; (2) flat method; (3) Zero-point area method. The most common forms are as follows.

1.Morphological inequalities: |x|0)

The solution set of the inequality defined using the absolute value is: -a0).

Its solution set is: x -a or x a.

3.Morphological inequalities: |ax+b|0)

The solution is to first reduce the inequality to the group of inequalities: -cc(c>0).

The solution is to first form a group of inequalities: ax+b>c or ax+b<-c, and then use the properties of inequalities to find the solution set of the original inequality.

Fundamental Inequality:

The volume of the circle. Surface area s=4 r

Cone volume. Surface area table volume.

The surface area cylindrical volume v=sh, and the surface area s=ch=2 rh

Riser volume. There is no general formula for surface area.

Line-surface parallelism theorem: a straight line outside the plane is parallel to a straight line in the plane, then the line is parallel to the plane.

Face-to-plane parallel theorem: two intersecting lines in one plane are parallel to the other, then the two planes are parallel

Corollary: If two intersecting lines in one plane are parallel to two straight lines in another plane, then the two planes are flat.

Yes. Line-surface perpendicular theorem: A straight line is perpendicular to two intersecting lines in a plane, then the line is perpendicular to the plane.

The perpendicular determination theorem of the surface of the plane: if one plane passes the perpendicular line of the other plane, then the two planes are perpendicular.

Straight line slope: two straight lines are perpendicular, k k = -1, or k = 0, k does not exist.

Parallel, k = k, does not coincide.

Isn't it all available in books? I used my own brain to write, and I was lazy when I was a freshman in high school.