Which master helped summarize the extracurricular formulas and theorems used in the National Junior

Sine theorem. Cosine theorem.

Butterfly theorem. Ptolemy's theorem.

Cubic equation to find the root formula.

Induction formula.

Mathematical Theorem The Relationship Between the Three Sides of a Triangle Theorem: The Sum of the Two Sides of a Triangle is Greater than the Third Side The Sum of the Triangle Triangle Sum Theorem The Sum of the Three Interior Angles of a Triangle is Equal to 180° Bisector of Angles Property Theorem The distance from a point on the bisector of an angle to both sides of this angle is equal Geometric Language: OC is the angular bisector of AOB (or AOC BOC) pe oa, pf ob point p on OC PE PF (Angle Bisector Properties Theorem) Decision Theorem to a point where the distance to both sides of an angle is equal, On the bisector of this angle geometric language:

pe oa,pf ob pe pf point p on the angular bisector of aob (angular bisector determination theorem) properties of isosceles triangle properties theorem of isosceles triangle two base angles of an isosceles triangle are equal Corollary 2 The angles of an equilateral triangle are equal, and each angle is equal to 60° Determination of an isosceles triangle Determination theorem If a triangle has two equal angles, then the sides opposite by the two angles are also equal Theorem The point on the perpendicular bisector of the line segment and the distance between the two endpoints of this line segment are equal Inverse theorem A point at which the distance from the two endpoints of a line segment is equal to that of the vertical bisector of the line segment Axisymmetric and axisymmetric graphs Theorem 1 Two graphs that are symmetrical between a certain line are congruent Theorem 2 If two graphs are symmetrical with respect to a straight line, then the axis of symmetry is the perpendicular bisector of the corresponding point line Theorem 3 Two graphs are symmetrical with respect to a straight line, and if their corresponding segments or extensions intersect, then the intersection is on the axis of symmetry Inverse theorem If the corresponding points of two graphs are bisected perpendicular by the same straight line, Then these two graphs are symmetrical about this straight line Pythagorean theorem Pythagorean theorem The sum of the squares of the two right-angled sides a and b of a right triangle is equal to the square of the hypotenuse c, i.e. a2 b2 c2 The inverse theorem of the Pythagorean theorem The inverse theorem of the Pythagorean theorem If the three sides of a triangle are related to a, b, and c, then the triangle is a right triangle Quadrilateral theorem The sum of the internal angles of any quadrilateral is equal to 360° The sum of the internal angles of the polygon and the inner angles of the n-sided theorem is equal to (n 2)·180° Property theorem 1 The opposite diagonals of parallelograms are equal Property Theorem 2 The opposite sides of a parallelogram are equal Property Theorem 3 The diagonal lines of a parallelogram are bisected from each other.

Menelaus's theorem.

The inverse theorem: system.

3.Seva's theorem.

4.The inverse of Seva's theorem.

5.Two corollaries of the Pythagorean theorem: Corollary: The sum of squares of the diagonal lines of the parallelogram DAO is equal to the sum of the squares of the four sides.

6.Bisector theorem for the inner and outer angles of a triangle:

7.Ptolemy's theorem.

8.The triangle is like the centroid theorem.

9.Sine theorem.

10.Cosine theorem.

11.Simson's theorem.

12.Euler's theorem.

13.The Basgar Line Theorem.

See high school math textbooks, many are extensions of junior high school, but they are all useful.

The area of the rhombus = the area of the rectangle - the area of 4 small right triangles = 6 8-4 [(1 2) 3 4].

24m So, there are 20 flowers 24 = 480 flowers.

Or quite simply, diamond area = half of the area of the rectangle.

24m²

Connecting the diagonal of the rectangle, it can be seen that the diagonal length is the diameter of the circle 10According to the Pythagorean theorem, the length of the other side of the rectangle is 8

The shaded area is further calculated as.

s＝6*8/2=24(m^2)

24*20=480 (strain).

Easy to know s shadow = 1 2s rectangle = 1 2 * 6 * 8 = 24

So I can plant 480