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A complete collection of junior high school mathematics knowledge
1: the basic concept of quadratic equation with one variable.

1. The constant term of the unary quadratic equation 3x2+5x-2=0 is -2.

2. The coefficient of the primary term of the unary quadratic equation 3x2+4x-2=0 is 4, and the constant term is -2.3. The quadratic term coefficient of the unary quadratic equation 3x2-5x-7=0 is 3 and the constant term is -7.4. The equation 3x(x- 1)-2=-4x is generalized.

Knowledge point 2: Cartesian coordinate system and the position of points

1. In the rectangular coordinate system, point A (3 3,0) is on the Y axis. 2. In the rectangular coordinate system, the abscissa of any point on the X axis is 0. 3. In rectangular coordinate system, point A (1, 1) is in the first quadrant. 4. In rectangular coordinate system, point A (-2,3) is in the fourth quadrant. 5. In rectangular coordinate system, point A (-2,65438)

Knowledge point 3: Find the function value of the known independent variable.

1. When x=2, the function y=32? The value of x is 1.2. When x=3, the function y=2.

1? The value of x is 1.

3. When x=- 1, the function y=3.

2 1? The value of x is 1.

Knowledge point 4: the concept and nature of basic functions

1. The function y=-8x is a linear function. 2. The function y=4x+ 1 is a proportional function. 3. Function xy2.

1 is an inverse proportional function. 4. The opening of parabola y=-3(x-2)2-5 is downward. 5. The symmetry axis of parabola y=4(x-3)2- 10 is x = 3.6. parabola 2) 1(2.

12? The vertex coordinate of xy is (1, 2).

7. inverse ratio function x

y2

The images are in the first and third quadrants. Knowledge point 5: mean, median and mode of data.

The average value of 1. data 13, 10,12,8,7 is 10.2. The pattern of data 3, 4, 2, 4, 4 is 4.

3. The median of data 1, 2,3,4,5 is 3.

Knowledge point 6: Special trigonometric function values

1.cos30 =

2

3.2.sin260 + cos260 = 1。 3.2sin30 + tan45 = 2。 4.tan45 = 1。

5.cos60 + sin30 = 1。

2

Knowledge point 7: Basic properties of circles

1. The circumferential angle of a semicircle or diameter is a right angle. 2. Any triangle must have a circumscribed circle.

3. On the same plane, the trajectory of a point whose distance to a fixed point is equal to a fixed length is a circle with the fixed point as the center and the fixed length as the radius. 4. In the same circle or equal circle, the arcs of equal central angles are equal. 5. The circle angle subtended by the same arc is equal to half of the central angle. 6. The radius of the same circle or equal circle is equal. 7. You can make a circle after three o'clock. 8.

9. In the same circle or in the same circle, the arcs of equal central angles are equal. 10. The diameter of the chord bisected by the center of the circle is perpendicular to the chord.

Knowledge point 8: the positional relationship between straight lines and circles

1. When a straight line and a circle have only one common point, it is said that the straight line is tangent to the circle. 2. The center of the circumscribed circle of a triangle is called the outer center of the triangle. 3. The tangent angle is equal to the central angle of the closed arc.

The center of the inscribed circle of a triangle is called the heart of the triangle. 5. The straight line perpendicular to the radius must be the tangent of the circle.

6. The straight line passing through the outer end of the radius and perpendicular to the radius is the tangent of the circle. 7. The straight line perpendicular to the radius is the tangent of the circle. 8. The tangent of a circle is perpendicular to the radius of the tangent point.

Knowledge point 9: the positional relationship between circles

1. When two circles have only one common point, they are called circumscribed circles. 2. The intersection of two circles bisects the common chord vertically.

3. When two circles have two common points, they are said to intersect. When two circles are inscribed, they have only one common tangent. 5. The intersection of two tangent circles must intersect the tangent point.

Knowledge point 10: Basic properties of regular polygons

1. The central angle of a regular hexagon is 60 degrees. This rectangle is a regular polygon.

3. Regular polygons are all axisymmetric figures. 4. Regular polygons are all figures with central symmetry.

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