1. What are the formulas for 36 motifs in mathematics?
36 mathematical motif formulas are a set of basic mathematical formulas, which are used to solve various mathematical problems. These formulas cover all fields of mathematics, including algebra, geometry, trigonometric functions, series and so on.
2. Algebraic formula
Solution formula of quadratic equation root: For quadratic equation AX 2+BX+C = 0, its root can be solved by formula X = (-B √ (B 2-4ac))/(2a). Factorization formula: (a+b) 2 = a 2+2ab+b 2, (a-b) 2 = a 2-2ab+b 2, etc.
3. Geometric formula
Formulas of perimeter and area: For example, the perimeter of a rectangle is 2* (length+width) and the area is length * width; The circumference of a circle is 2πr, the area is π r 2, and so on. Area formula of triangle: Helen formula, for example, can be used to calculate the area of any triangle, that is, S=√(s(s-a)(s-b)(s-c)), where S is the semi-circumference, and A, B and C are the lengths of three sides.
4. formulas of trigonometric functions
Sine theorem: For any triangle ABC, there is a/sinA=b/sinB=c/sinC, where a, b and c are the lengths of three sides and a, b and c are the corresponding angles. Cosine theorem: for any triangle ABC, there is c 2 = a 2+b 2-2 abcsc, where a, b and c are the lengths of three sides and c is the corresponding angle.
5. Sequence formula
General formula of arithmetic progression: such as an=a 1+(n- 1)d, where an is the nth number, a 1 is the first term, and d is the tolerance. Geometric progression's general formula: such as an = a 1 * r (n- 1), where an is the nth number, a 1 is the first term, and r is the common ratio.
Summary:
Math 36 motif formulas are a set of basic math formulas, which are used to solve various math problems. These formulas cover algebra, geometry, trigonometric function, sequence and other fields. Including the solution formula of quadratic equation root, factorization formula, perimeter and area formula, triangle area formula, sine theorem, cosine theorem, and the general formula of arithmetic progression and geometric progression.