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Junior High School Mathematics Theorems Encyclopedia Oak 1There is only one straight line after two points.
2.The line segment between two points is the shortest.
3.Complementary angles of the same or equal angles are equal.
4.Coangles of the same or equal angles are equal.
5.At a point, there is only one and only one straight line perpendicular to a known straight line.
6.Of all the line segments connected by the point outside the line and the points on the line, the perpendicular line segment is the shortest.
7.The axiom of parallelism passes a point outside the straight line, and there is only one straight line that is parallel to the straight line.
8.If both lines are parallel to the third line, the two lines are also parallel to each other.
9.The isotope angles are equal, and the two straight lines are parallel.
10.The inner staggered angles are equal, and the two straight lines are parallel.
11.The inner angles of the same side are complementary, and the two straight lines are parallel.
12.The two straight lines are parallel and the isotope angles are equal.
13.The two lines are parallel and the inner misalignment angles are equal.
14.The two straight lines are parallel and complementary to the side inner angles.
15.Theorem The sum of the two sides of a triangle is greater than the third side.
Summary of mathematics knowledge points in the high school entrance examination: a functionThe concept of proportional functions and primary functions
In general, if (k, b is constant, k0), then y is called a primary function of x.
In particular, when b in a primary function is 0, (k is a constant, k0). In this case, y is called the proportional function of x.
Description: The relationship between the position of a straight line and a constant.
An image of a primary functionThe image of all primary functions is an analytic expression of a straight line function.
The value range of the independent variable is increased or decreased.
Proportional function.
All real numbers. When k > 0, y increases with the increase of x.
When k >< 0 is done late, y decreases as x increases.
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All the deleted mathematical theorems in junior high school are the chicken claw theorem, the angle bisector theorem, the power theorem, the sine theorem, the intersecting string theorem, the cut line theorem, the secant line theorem, the butterfly theorem, the Ptolemy's theorem, the cosine theorem, etc.
The deletion of certain knowledge will undoubtedly have a certain impact on the comprehensiveness of students' learning knowledge. As far as the projection theorem is concerned, it can save time and effort by using it in many topics, and now the vast majority of middle schools still use it as a knowledge to expand to students, and it has not been greatly affected.
Middle School Mathematics Theorem:
1. Points, lines, and angles.
The theorem of points: there is only one straight line after two points.
The theorem of points: the shortest line segment between two points.
Theorem of angles: Complementary angles of the same or equal angles are equal.
The theorem of angles: co-angles of the same or equal angles are equal.
Straight line theorem: At a point, there is only one and only one straight line perpendicular to a known straight line.
Straight line theorem: Among all the line segments connected by the outer point of the straight line and the points on the Zhiqing potato line, the perpendicular line segment is the shortest.
2. The theorem of the inner angle of the triangle.
Theorem The sum of the two sides of a triangle is greater than the third side.
Corollary: The difference between the two sides of the triangle is less than the third side.
The sum of the inner angles of a triangle theorem: the sum of the three internal angles of a triangle is equal to 180°.
3. Geometric parallelism.
Parallel theorem: After a point outside the straight line, there is only one and only one straight line parallel to the straight line.
Corollary: If both lines are parallel to the third line, the two lines are also parallel to each other.
Prove the parallel theorem of two straight lines: the isotope angles are equal, and the two straight lines are parallel; The inner staggered angles are equal, and the two straight lines are parallel. The inner angle of the same side is complementary, and the two straight lines are sold in a flat cavity. Woo Cha Tour.
Inference of the parallel of two straight lines: two straight lines are parallel and the isotopic angles are equal; The two lines are parallel and the inner misalignment angles are equal. The two straight lines are parallel and complementary to the side inner angles.
The outer angles of the triangle are equal to the sum of his two angles that are not adjacent to each other.
1.When x 0, y = 1That is, the constant crossing point of the function (0,1); >>>More
Question 1. Results: 100 19
Process: Assuming that A runs the time t first, then B and C have a speed of 95 t and 90 t respectively, and then B takes 5 (95 t) to reach the end point, and the distance C runs forward during this time is 5 (95 t) (90 t) = 19 90, then C is 10-19 90 = 100 90 from the end point >>>More
1) Proof that because ab is the diameter of the circle O, the angle aeb = 90 degrees, so the angle aed + angle bec = 90 degrees, because de cuts the circle o to e, so the angle aed = angle abe, because ce=cb, so the angle bec = angle ebc, so the angle abe + angle ebc = 90 degrees, that is: the angle abc = 90 degrees, and ab is the diameter of the circle o, so bc is the tangent of the circle o. >>>More
exists, shifts the term to obtain: -m-2>(3-m)x, and it is easy to know that if m exists, the system of equations: >>>More