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___ ．

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• 1. 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
• 2. 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
• 3. 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
• 4. 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
• 5. 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
• 6. 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
• 7. 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
• 8. As shown in the figure, in the triangle ABC, ab = AC, the angle a = 120 ° de bisects AB and BC vertically in D, e
• 9. 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
• 10. 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
• 11. 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______ ．
• 12. 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______ ．
• 13. 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?
• 14. 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?
• 15. 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?
• 16. 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?
• 17. 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
• 18. The truck and bus run from a and B at the same time. The truck runs 35 kilometers per hour and the bus 40 kilometers per hour. After 4 hours, the two cars meet. How many kilometers is the distance between a and B?
• 19. Wahaha, the price of mineral water is 1.2 yuan per bottle Wahaha, the price of each bottle of mineral water is 1.2 yuan. Line a and line B offer preferential policies. 10% off for all stores in line a and 20% off for more than 20 bottles in line B. If you are a consumer, which store is more suitable? Why?
• 20. A desk has three drawers. Each drawer is 50cm in length, 45cm in width and 0.7dm in depth. How many boards should be used to make the desk drawer?