What are the commonly used formulas for adult college entrance examination mathematics? As we all know, education is a stepping stone, so the adult college entrance examination is a good choice for many employees, but many people want to know some common questions about the adult college entrance examination in advance when applying for the exam. The following education teacher will answer some information about the adult college entrance examination for you, hoping to help you! What are the commonly used formulas for adult college entrance examination mathematics?

Function:

Linear function; y=kx+b

Quadratic function y = ax 2+bx+c

Inverse proportional function; Y=k/x proportional function; Y=kx when b=0.

Exponential function; y=a^x(a>； 0 and not equal to 1)

Logarithmic function; y = loga x loga 1 = o logaa = 1

Series:

Arithmetic series; The tolerance is marked d.

General formula; An(n is low) =a 1+(n+ 1)d

Mid-term; A=a+b/2 (A-a=A-b)

Sum of the first n items; Sn=n(a 1+a2)/2 or Sn=na 1+n(n- 1)d/2.

The comparison of geometric series is written as Q.

General formula; A n is the power of n- 1, and the radix = a1q.

The first n terms and formulas; Sn = a1(n power of1-q)1-q or Sn=a 1-an(n is the radix) q/1-q (q is not equal to 0) It is very important to write down the first n terms and formulas of a series. I heard that there are many derivatives.

Find the derivative of the function y=f(x) at x0:

① Find the increment δ y = f (x0+δ x)-f (x0) of the function.

② Find the average change rate.

③ Seek the limit and derivative.

Derivative formulas of several common functions;

① C'=0(C is a constant);

②(x^n)'=nx^(n- 1)(n∈q)；

③(sinx)' = cosx；

④(cosx)' =-sinx；

⑤(e^x)'=e^x；

⑥ (a x)' = a A Xin (ln is natural logarithm).

Four algorithms of derivative:

①(u v)'=u' v '

②(uv)'=u'v+uv '

③(u/v)'=(u'v-uv')/ v^2

Derivative function of composite function;

Let y = u (t) and t = v (x), then y'(x) = u'(t)v'(x) = u'[v(x)] v'(x).

For example: y = t^2, t = sinx, then y'(x) = 2t * cosx = 2sinx*cosx = sin2x.

I don't know how to say derivative. Let me give you an example.

y=6x^3-4x^2+9x-6 y'= 18x^2-8x+9

Sine function:

Analytic formula: y=sinx defines the domain R {- 1, 1} The image in the wave book is periodic; T=2 pie

Five-point method, the M substitution here is the one of 3. 14 15962.

These five points (0,0) (m/2, 1) (m,0) (3/2m,-1) (2m,0) are actually the five points that the image passes through, and there is actually a translation to (-m/2,/kloc-0) in the second quadrant.

Here m/2 is approximately equal to 1.57. Can you understand the figure drawn according to this figure?

Let's not talk about monotonicity. It's all in the tree.

Cosine function:

y=cosx

Sine theorem:

A/sinA=b/sinB=c/sinc=2R (R is the radius of the outer circle) or vice versa.

Cosine theorem:

a^2=b^2+c^2-2b(cosa)b^2= a^2+c^2-2ac×cosb c^2=a^2+b^2-2abcosc

cosB=(a^2+b^2+c^2)/2ac

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