Who can tell me all the formulas of compulsory four in senior one? Induction formula! Double angle formula. Half angle formula! The range of positive and negative functions. symmetrical

63 Rectangular Decision Theorem 2 Parallelograms with equal diagonals are rectangles

64 diamond property theorem 1 all four sides of the diamond are equal.

65 Diamond Property Theorem 2 Diagonal lines of diamonds are perpendicular to each other, and each diagonal line bisects a set of diagonal lines.

66 Diamond area = half of diagonal product, that is, S=(a×b)÷2.

67 diamond decision theorem 1 A quadrilateral with four equilateral sides is a diamond.

68 Diamond Decision Theorem 2 Parallelograms whose diagonals are perpendicular to each other are diamonds.

69 Theorem of Square Properties 1 All four corners of a square are right angles and all four sides are equal.

Theorem of 70 Square Properties 2 Two diagonal lines of a square are equal and bisected vertically, and each diagonal line bisects a set of diagonal lines.

Theorem 7 1 1 is congruent with respect to two centrosymmetric graphs.

Theorem 2 About two graphs with central symmetry, the connecting lines of symmetric points both pass through the symmetric center and are equally divided by the symmetric center.

Inverse Theorem If the corresponding points of two graphs pass through a certain point and are connected by it.

If the point is split in two, then the two graphs are symmetrical about the point.

The property theorem of isosceles trapezoid is that two angles of isosceles trapezoid on the same base are equal.

The two diagonals of an isosceles trapezoid are equal.

76 isosceles trapezoid decision theorem A trapezoid with two equal angles on the same base is an isosceles trapezoid.

A trapezoid with equal diagonal lines is an isosceles trapezoid.

Theorem of bisecting line segments by parallel lines If a group of parallel lines are tangent to a straight line.

Equal, then the line segments cut on other straight lines are also equal.

79 Inference 1 A straight line passing through the midpoint of one waist of a trapezoid and parallel to the bottom will bisect the other waist.

Inference 2 A straight line passing through the midpoint of one side of a triangle and parallel to the other side will be equally divided.

Trilaterality

The median line theorem of 8 1 triangle The median line of a triangle is parallel to and equal to the third side.

Half of

The trapezoid midline theorem is parallel to the two bottoms and equals the sum of the two bottoms.

Half l = (a+b) ÷ 2s = l× h。

Basic properties of ratio 83 (1) If a:b=c:d, then ad=bc.

If ad=bc, then a: b = c: d.

84 (2) Combinatorial Properties If A/B = C/D, then (A B)/B = (C D)/D.

85 (3) Isometric Property If A/B = C/D = … = M/N (B+D+…+N ≠ 0), then

(a+c+…+m)/(b+d+…+n)=a/b

86 parallel lines are divided into segments and proportional theorems. Three parallel lines cut two straight lines and get the corresponding results.

The line segments are proportional.

It is inferred that the line parallel to one side of the triangle cuts the other two sides (or the extension lines of both sides), and the corresponding line segments are proportional.

Theorem 88 If the corresponding line segments obtained by cutting two sides (or extension lines of two sides) of a triangle are proportional, then this straight line is parallel to the third side of the triangle.

A straight line parallel to one side of a triangle and intersecting with the other two sides, the three sides of the cut triangle are directly proportional to the three sides of the original triangle.

Theorem 90 A straight line parallel to one side of a triangle intersects the other two sides (or extension lines of both sides), and the triangle formed is similar to the original triangle.

9 1 similar triangles's decision theorem 1 Two angles are equal and two triangles are similar (ASA)

Two right triangles divided by the height on the hypotenuse are similar to the original triangle.

Decision Theorem 2: Two sides are proportional and the included angle is equal, and two triangles are similar (SAS).

Decision Theorem 3 Three sides are proportional and two triangles are similar (SSS)

Theorem 95 If the hypotenuse of a right triangle and one right-angled side and another right-angled side

The hypotenuse of an angle is proportional to a right-angled side, so two right-angled triangles are similar.

96 Property Theorem 1 similar triangles has a high ratio, and the ratio corresponding to the center line is flat with the corresponding angle.

The ratio of dividing lines is equal to the similarity ratio.

97 Property Theorem 2 The ratio of similar triangles perimeter is equal to similarity ratio.

98 Property Theorem 3 The ratio of similar triangles area is equal to the square of similarity ratio.

The sine value of any acute angle is equal to the cosine value of other angles, the cosine value of any acute angle, etc.

Sine value of other angles

100 The tangent of any acute angle is equal to the cotangent of other angles, the cotangent of any acute angle, etc.

Tangent value of its complementary angle

10 1 A circle is a set of points whose distance from a fixed point is equal to a fixed length.

102 The interior of a circle can be regarded as a collection of points whose center distance is less than the radius.

65438+