In the triangle ABC, the angle a = 90 degrees, the bisector of angle c intersects at point D, the known angle DCB = 2, the degree of angle ADC is calculated

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1. In triangle ABC, ad intersects BC at point D, CE is perpendicular to ad at point E, connect be, ∠ ABC = 45 degrees, ∠ ADC = 60 degrees, DC = 2bd, try to find the degree of ∠ C
2. As shown in the figure, in △ ABC, ad ⊥ BC, CE ⊥ AB, D and e respectively, ad and CE intersect at point h, please add an appropriate condition:______ So that △ AEH ≌ △ CEB
3. In the triangle ABC, the angle ACB is 90 degrees, AC = BC, ad is the center line of DC side, CE is perpendicular to e, and the extension line of CE intersects AB at F Find the value of (1) AE ratio de and (2) Tan angle bad
4. It is known that: as shown in the figure, in △ ABC, AC = BC, ∠ ACB = 120 °, CE is perpendicular to AB and D, and de = DC
5. As shown in the figure, in the triangle ABC, ab = AC, the angle a = 120 ° de bisects AB and BC vertically in D, e
6. In △ ABC, ab = AC, ∠ a = 120 °, D is the midpoint of AB, crossing D as the vertical bisector of AB and crossing BC at e. the proof is EC = 2be
7. It is known that in △ ABC, be = CE, ∠ DBC = ∠ ACB = 120 °, BD = BC, CD intersection AB is at point e., and de = 3ce is proved
8. In non isosceles triangle ABC, D is the midpoint of BC and F is the midpoint of ab. the correct conclusion is that a AE: ad = 1:3, B △ abd is all equal to △ ADC, C △ abd is similar △ADC D △AEF=△CED
9. In the isosceles triangle ABC, the angle a is equal to 20 degrees, AB is equal to AC, D is on AC, and ad is equal to BC. Find the size of the angle abd
10. In the isosceles triangle ABC, AB equals AC equal to 13, BC equal to 10, D is the midpoint of AB, do de through D, perpendicular to AC and E, find de?
11. As shown in the figure, in △ ABC, the bisector of ∠ a = 90 ° intersects AB at D. if ∠ DCB = 2 ∠ B, calculate the degree of ∠ ADC
12. As shown in the figure, △ ABC, angle a = 90 ° and bisector of angle c intersects AB at D. given angle DCB = 2 angle B, calculate the degree of angle ADC
13. If the line y = x + 2 passes through a focus and a vertex of the ellipse x2a2 + y2b2 = 1 (a > b > 0), then the eccentricity of the ellipse is 0___ ．
14. As shown in the figure RT △ ABC, ab = AC = 1, make an ellipse with point C as a focus, so that the other focus of the ellipse is on the edge of AB, and the ellipse passes through two points a and B, then the focal length of the ellipse is______ ．
15. In RT △ ABC, ∠ C = 90 ° and ∠ a = 30 °, then a and B are the focus, and the eccentricity of ellipse passing through point C is the same______ ．
16. One or two cars have traveled 156 kilometers in the first three hours from place a to place B. to find such a speed, it will take five hours from place a to place B. how many kilometers are there between the two places?
17. 1. A and B drive from two places 324km apart at the same time and meet on the way after 6 hours. The speed of a is 80% of that of B 2. Master Zhang made a batch of parts, which accounted for 40% of the total on the first day. If he made 12 more parts, he would finish two-thirds of the total. How many parts are there in total?
18. A and B leave from ab at the same time. A travels 45 kilometers per hour. B travels 12 hours from B to A. when B meets, a travels four fifths of B. when B meets, how many kilometers does a travel?
19. A and B set out at the same time from a and B which are 180 km apart. A rides a bicycle and B drives a car along the same route. It is known that a's speed is 15 km / h and B's speed is 45 km / h How many hours did they meet? How many hours did B arrive at a?
20. The speed ratio of a and B is 3:4. It is known that when a finishes one third of the whole journey, there is still a distance from the meeting point 20km, how many km is the distance between AB and ab? Try not to use equations