All theorems axioms urgent in junior high school

Mathematical Theorem Coangles of the same angle (or equal angles) are equal. The angles to the apex are equal. One outer angle of a triangle is equal to the sum of two inner angles that are not adjacent to it.

Two straight lines perpendicular to the same line in the same plane are parallel lines. The isotope angles are equal, and the two straight lines are parallel. The bisector of the top angle, the height on the base, and the midline on the base of an isosceles triangle coincide with each other.

In a right triangle, the center line on the hypotenuse is equal to half of the hypotenuse. The points on the bisector of the angle are equally separated from each side of the corner. and its inverse theorem.

Parallel segments sandwiched between two parallel lines are equal. The perpendicular segments sandwiched between two parallel lines are equal. A quadrilateral is a parallelogram in which a set of opposite sides are parallel and equal, or two sets of opposite sides are equally divided, or diagonals are bisected with each other.

There are three quadrilaterals with right angles, and parallelograms with equal diagonal lines are rectangular. Rhomboidal properties: The four sides are equal, the diagonals are perpendicular to each other, and each diagonal is bisected by a set of diagonals.

The four corners of the square are all right angles, and the four sides are equal. The two diagonals are equal and bisected perpendicular to each other, with each diagonal bisecting a set of diagonals. In an identical or equal circle, if one of the two central angles, two arcs, two strings, and two chord centraxes are equal, then the rest of the pairs corresponding to them are equal.

Bisect the string perpendicular to the diameter of the string and bisect the arc opposite the string. The diameter of the bisector chord (not the diameter) is perpendicular to the chord, and the arc to which the bisector chord is opposed. The two right triangles of a right triangle are similar to the original triangle divided by a high line on the hypotenuse.

The ratio of the similar triangle to the high line, the ratio to the middle line, and the ratio to the bisector of the corresponding angle are all equal to the similarity ratio. The ratio of the area of a similar triangle is equal to the square of the similarity ratio. The diagonal diagonal of the circumscribed quadrilateral of the circle is complementary, and any one of the outer angles is equal to its inner diagonal.

The decision theorem of tangents A straight line that passes through the outer end of a radius and is perpendicular to this radius is a tangent of a circle. The property theorem of tangents A straight line perpendicular to the tangent line through the center of the circle must pass through the tangent point. The tangent of the circle is perpendicular to the radius passing through the tangent point.

A straight line that passes through the tangent perpendicular to the tangent must pass through the center of the circle. Tangent length theorem Two tangent lines that lead a circle from a point outside the circle, their tangents are equal in length. The straight line that connects the outer point of the circle to the center of the circle, and divides the angle between the two tangents made from this point to the circle.

The chord chamfer theorem The degree of the chord chamfer is equal to half the degree of the arc it clamps. The tangent angle of the chord is equal to the circumferential angle of the arc it clamps. Intersecting string theorem ; Cutting line theorem ; The secant theorem.

The two lines are truncated by the third line and have equal angles.

The two parallel lines are truncated by a third straight line, and the isotopic angles are equal.

The two sides and their angles correspond to two equal triangles congruence.

The two corners and their edges correspond to two equal triangles congruence.

The three sides correspond to two equal triangles congruence.

The corresponding sides of congruent triangles are equal and the corresponding angles are equal.

Equal to vertex angles Parallel straight lines with equal isotopic angles.

Triangle congruence:

The two sides and their angles correspond to two equal triangles congruence.

The two corners and their edges correspond to two equal triangles congruence.

The three sides correspond to two equal triangles congruence.

The two parallel lines are truncated by a third straight line, and the isotopic angles are equal.

The two sides and their angles correspond to two equal triangles congruence.

The two corners and their edges correspond to two equal triangles congruence.

Ohm's law, the law of conservation of energy, the law of conservation of mass, ......Mass mm = v velocity v

v = s t gravity g = mg pressure p

p=f s work w

w = fs power p

p=w tfv current.

ii = u r voltage u

U=IR resistor R

r=u i electrical work w

w=uiti2rt=u2t/r

Electrical power pwp = w t = ui heat q

JQ = CM t specific heat c

c＝q/m△t

Your problem is too big, write partially.

You refer to a primary equation (group) and a primary inequality (group).

1 Arithmetic and algebraic solutions.

11 Analysis and comparison of the two solutions.

12 Unknowns and Equations.

Use the letters x, y, 、...etc., indicating the required quantity, these letters are called "unknowns".

An algebraic formula that combines numbers or letters that represent a book with arithmetic symbols is called an algebraic formula.

An equation with unknowns is called an equation.

In an equation, the unknowns contained in it become the element;

Each part separated by a "+" sign is called an item, and in an item, a number or a letter factor that represents a known number is called the coefficient of an unknown number.

The sum of the exponents of the unknowns contained in a certain item becomes the number of times that this item is made.

An term that does not contain an unknown number becomes a constant term When the constant is not zero, its order is 0, so the constant term is also called a zero term.

13 The solution of the equation and the basis for solving the equation.

The value of the unknown is that the unknown in the listed equation is replaced by this value, which makes the equation an identity.

Energy is the value of an unknown number with equal values on the left and right sides of the equation, which is called the solution of the equation, also known as the root.

The process of finding the solution of an equation is called solving an equation.

The equations are solved based on "computational generality" and "equation properties".

The parentheses can be removed "from the table to the inside" and the terms "containing the same unknowns and the same number of unknowns" can be combined and merged together – this is called merging similar items.

After changing the sign of any item on one side of the equation and moving it to the other side of the equation, it is called shifting, which is simply "shifting the sign".

Divide the coefficients of the unknowns on each side of the equation (or multiply by the reciprocal of the coefficients) to get the value of the unknowns.

To sum up, the method and steps for solving the equation are obtained: remove the parentheses, shift the term and change the sign, and merge the similar terms, so that the equation can be reduced to the simplest form ax=b(a!).=0), divide by the coefficient of the unknown, and get x=b a(a!).=0)

2 Unary Linear Equations.

An equation that contains only one unknown number and whose order is 1 is called a univariate linear equation in its general form: ax+b=0(a!).=0, a, b are constants).

22 Methods for solving unary equations.

The general steps to solve a one-dimensional equation are:

1 Denominator (or integer coefficient);

2 Remove parentheses;

3. Shift the item and change the sign;

4. Merge similar terms into ax=-b(a!=0);

5 Divide the coefficients of the unknowns on both sides of the equation to get the solution of the equation x=-b a

What is the use of a hard-back formula? The most important thing is to understand and apply in learning.

Starting from the books in the first year of junior high school, it is effective to organize them by yourself. will remember.