As shown in the figure, AB is the diameter of ⊙ o, ab = 2, OC is the radius of ⊙ o, OC ⊥ AB, point D is on AC, ad = 2CD, point P is a moving point on radius OC, and the minimum value of AP + PD is obtained

As shown in the figure, connect BD and ad. it is known that B is the symmetry point of a with respect to OC, so BD is the minimum value of AP + PD, ∵ ad = 2CD, and the degree of arc AC is 90 ° arc, ∵ ad is 60 ° arc, so ∠ B = 30 °, ∵ AB is diameter, ∵ ADB = 90 ° and ab = 2, ∵ BD = 3. Therefore, the minimum value of AP + PD is 3

RELATED INFORMATIONS

1. It is known that: as shown in the figure, in isosceles trapezoid ABCD, ad ‖ BC, ab = DC, passing through point D as parallel line De of AC, intersecting the extension line of BA at point E
2. Through a point P on the circle x * 2 + y * 2 = 4, make a vertical line of X axis, and the vertical foot is Q. find the ordinary equation of the locus of the midpoint of the line PQ
3. As shown in the figure, △ ABC and △ alblc1 are equilateral triangles, and the midpoint of BC and b1c1 is d. verification: Aa1 ⊥ CC1
4. As shown in the figure, in a kite ABCD, ab = ad, BC = DC. (1) pull two colored threads EC and FC at the midpoint E and F of AB and ad respectively, proving that the lengths of the two colored threads are equal. (2) AB = ad, BC = DC, AE = 1 / 3AB, AF = 1 / 3aD, if 1 / 4AB = AE, 1 / 4AD = AF, what conclusions do you get? (3) besides (1) (2) condition I, you can get the conclusion that the lengths of the two colored threads are equal under those known conditions?
5. Given that both sides of a triangle are AB, a > b, find the length range of the center line CD on the third side
6. It is known that sinacosa = 0.125 and 45 degrees
7. A linear equation passing through point m (2,1) and tangent to circle x2 + y2-6x-8y + 24 = 0
8. Given that the polynomial (A & # 178; - 4) x & # 179; + (a + 2) x & # 178; + X + 1 is a quadratic trinomial of X, then the value of a & # 178; + A is?
9. The solution set of inequality 2x-1 > 3 is______ ．
10. Find the unknown x + 1 / 3-6 / 5x = 5 / 6 Bring the commentary. I'm in a hurry
11. If P Δ q = 3p-5q, then (2 Δ 2) Δ 0.8 The examination questions of key middle schools in 2008, It is (2 Δ 2) ▽ 0.. 8
12. In the rectangular coordinate system, we know that the coordinates of a and B are (- 1,1) (3,3). If M is a point on the X axis, the tangent Ma MB is the smallest, and the coordinate of M is
13. If lgx + lgY = 2, then the minimum value of X + y is______ ．
14. (a+b)(a2_ ab+b2).
15. From 1 to 9, fill in the following formula () + () = (), () - () = (), () + ()=（ From 1 to 9, the number can not be repeated, each number can only appear once, fill in the following formula () + () = (), () - () = (), () + ()=（
16. Calculation: 1 / 1 × 4 + 1 / 4 × 7 + 1 / 7 × 10 + 1 / 10 × 13 + 1 / 13 × 16 + 1 / 16 × 19 + 1 / 19 × 22 =?
17. 1 * 1 / 4 + 4 * 1 / 7 + 7 * 1 / 10 + 10 * 1 / 13 + 13 * 1 / 16 + 16 * 1 / 19 + 19 * 1 / 22?
18. Calculate 1 × 4 + 4 × 7 + 7 × 10 +... + 19 × 22 + 22 × 25
19. The number of a column is grouped as follows: (1), (4,7), (10,13,16), (19,22,25,28) What's the row and position of 2005?
20. There are a series of numbers: 1,4,7,10,13,16,19,22,25,,,, help There are a series of numbers: 1,4,7,10,13,16,19,22,25 (1) Calculate the sum of the first 100 numbers (2) Is 2005 in here? Why?