What is the tangent length theorem?

Tangent length theorem: two tangents of a circle are drawn from a point outside the circle. Their tangent lengths are equal. The line between the center of the circle and this point bisects the angle between the two tangents

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1. Tangent length theorem 1. In the trapezoid ABCD, ad ‖ BC, ∠ ABC = 90 ° the semicircle o with ab as diameter cuts CD at point M. if the trapezoid has an area of 10 square centimeters and a perimeter of 14cm, what is the radius of semicircle o? 2. The side length of square ABCD is a, AE cuts the semicircle with diameter BC to e, intersects DC to F, and finds CF: FD
2. How to express the tangent length theorem
3. Narrate and prove the tangent length theorem
4. The meaning of MC element symbol It's a scientific element symbol. MC means that kind of element (for example, O is oxygen, etc.)
5. What does the MC symbol on the thermometer stand for
6. What does set a / b mean I haven't done Math for a long time, a = [- 2,1] B = (0,2) What do you mean by a / b? Is it asking a to dig out B? AUB is the sum of two?? Anb is the overlap of two, right What's a / b???? I don't know what it means The problem is to find a / b
7. Is set a I set a ∩ set B
8. A and B are two sets, Difference set? Is it the rest of a minus B?
9. For sets a and B. define the operation For sets a and B, define operations: a x B = {x | x = a * B, a ∈ a, B ∈ B}, C = a x B, let a = {1,2,3,4,}, B = {3,6,9} (1) If d = {x | x = 2k-1, K ∈ Z, X ∈ C}, the sum of elements in each subset of D is M1, M2, m3 , MK, M1 + M2 + m3 + mk ==== jiulang1989。 Second question?
10. Define set operation: a * b = {ZLZ = XY (x + y), X ∈ a, y ∈ B}. Let a = {0,1}, B = {2,3}, then the sum of all elements of a * B is______ .
11. Tangent length theorem
12. Two identical spherical conductors, suspended at the same point by thin insulated wires of 13 cm in length, have the same amount of charge (can be regarded as point charge). Due to electrostatic repulsion, the distance between them is 10 cm. The mass of each spherical conductor has been measured to be 0.6 g, and the amount of charge they carry is calculated. (known electrostatic constant k = 9 × 109 n · m2 / C2)
13. On the derivation of Coulomb's law It is said in the book that Coulomb's electric pendulum experiment is more powerful than the torsion pendulum experiment in proving the inverse square law, but how Coulomb deduces the relationship between Coulomb force and R through the relationship between the pendulum period T and the distance r between two charge spheres? It is best to list the relevant derivation formula, thank you!
14. What is the definition of Coulomb's law?
15. Why should the charged body be regarded as a point charge when calculating the field strength? Is it because of Coulomb's law? E = KQ / r2
16. There is a point charge in vacuum, and the charge quantity is Q. according to Coulomb's law and the definition of electric field strength, the expression of electric field strength at the point where q is R is derived
17. Lim ┬ (n →∞) &; ((1 / (n ^ 2 + 1)] + 2 / (n ^ 2 + 2) + &; n / (n ^ 2 + n)) is equal to 1 / 2,
18. The base of natural logarithm Don't give me a definition. What's the use of E? Many formulas are the simplest. Why?
19. Given that a and B satisfy b > a > e, where e is the base of natural logarithm, a ^ b > b ^ A is proved A ^ b > b ^ a B (LNA) > A (LNB) can you explain it?
20. 10. Let a > 0, b > 0, e be the base of natural logarithm 10. Let a > 0, b > 0 and E be the base of natural logarithm A. If EA + 2A = EB + 3b, then a > B B. If EA + 2A = EB + 3b, then a < B C. If ea-2a = eb-3b, then a > B D. If ea-2a = eb-3b, then a < B A B after e is the index