Mathematics college entrance examination must recite key formulas.

The necessary formula for college entrance examination mathematics is as follows:

1. Equation:

The solution of (1) unary quadratic equation: -b+√(b2-4ac)/2a -b-√(b2-4ac)/2a.

(2) Relationship between root and coefficient: x1+x2 =-b/ax1* x2 = c/a?

(3) discriminant:

B2-4ac=0 Note: This equation has two equal real roots.

B2-4ac >0 Note: The equation has two unequal real roots.

B2-4ac & lt； Note: The equation has no real root, but a complex number of the yoke.

2. Triangle inequality:

| a+b |≤| a |+| b | | a-b |≤| a |+| b | | a |≤b & lt； = & gt-b≤a≤b

3. Multiplication and factorization:

a2-B2 =(a+b)(a-b)a3+B3 =(a+b)(a2-a b+B2)a3-B3 =(a-b(a2+a b+B2)

4. Trigonometric function:

(1) The formula of the sum of two angles:

sin(A+B)=sinAcosB+cosAsinB

sin(A-B)=sinAcosB-sinBcosA

cos(A+B)=cosAcosB-sinAsinB

cos(A-B)=cosAcosB+sinAsinB

tan(A+B)=(tanA+tanB)/( 1-tanA tanB)

tan(A-B)=(tanA-tanB)/( 1+tanA tanB)

ctg(A+B)=(ctgActgB- 1)/(ctg B+ctgA)

ctg(A-B)=(ctgActgB+ 1)/(ctg b-ctgA)

(2) Double angle formula:

tan2A = 2 tana/( 1-tan2A)ctg2A =(ctg2A- 1)/2c TGA

cos2a = cos2a-sin2a = 2 cos2a- 1 = 1-2 sin2a

(3) Half-angle formula:

sin(A/2)=√(( 1-cosA)/2)sin(A/2)=-√(( 1-cosA)/2)

cos(A/2)=√(( 1+cosA)/2)cos(A/2)=-√(( 1+cosA)/2)

tan(A/2)=√(( 1-cosA)/(( 1+cosA))

tan(A/2)=-√(( 1-cosA)/(( 1+cosA))

ctg(A/2)=√(( 1+cosA)/(( 1-cosA))ctg(A/2)=-√(( 1+cosA)/(( 1-cosA))

(4) Sum-difference product:

2sinAcosB=sin(A+B)+sin(A-B)

2cosAsinB=sin(A+B)-sin(A-B)

2cosAcosB=cos(A+B)-sin(A-B)

-2sinAsinB=cos(A+B)-cos(A-B)

sinA+sinB = 2 sin((A+B)/2)cos((A-B)/2 cosA+cosB = 2 cos((A+B)/2)sin((A-B)/2)

tanA+tanB=sin(A+B)/cosAcosB

tanA-tanB=sin(A-B)/cosAcosB

ctgA+ctgBsin(A+B)/Sina sinb-ctgA+ctgBsin(A+B)/Sina sinb

(5) Sine theorem: a/sinA=b/sinB=c/sinC=2R?

(6) Cosine theorem: b2=a2+c2-2accosB

5. Sum of the first n items in sequence (A~C):

a: 1+2+3+4+5+6+7+8+9+…+n = n(n+ 1)/2 1+3+5+7+9+ 1 1+ 13+ 15+…+(2n- 1)= N2

b:2+4+6+8+ 10+ 12+ 14+…+(2n)= n(n+ 1) 12+22+32+42+52+62+72+82+…+N2 = n(n+ 1)(2n+ 1)/6

c: 13+23+33+43+53+63+…n3 = N2(n+ 1)2/4 1 * 2+2 * 3+3 * 4+4 * 5+5 * 6+6 * 7+…+n(n+ 1)= n(n+ 1)(n+2)/3

6. The standard equation of the circle:

(x-a)2+(y-b)2=r2

7. General equation of circle:

x2+y2+Dx+Ey+F=0

8. Parabolic standard equation:

y2 = 2px y2 =-2px； x2=2py x2=-2py

9. Area formula:

(1) Side area of right-angle prism: s = c * h；; Side area of oblique prism: S = c'* h

(2) The side area of the right pyramid is S= 1/2c*h'

(3) the side area of the prism: S = 1/2(c+c')h'

(4) frustum side area: S = 1/2(c+c')l = pi(R+R)l?

(5) cylindrical lateral area: s = c * h = 2pi * h

(6) lateral area of the cone: s =1/2 * c * l = pi * r * l.

(7) Arc length formula: l = a * r；; Sector area formula s= 1/2*l*r

(8) Cone volume formula: V= 1/3*S*H (cone volume formula V= 1/3*pi*r2h).

(9) Oblique prism volume: V=S'L

(10) Cylinder volume formula: v = s * h；; Cylinder: V=pi*r2h

I hope it helps you, thank you!