As shown in the figure, △ abd and △ ace are equilateral triangles. What's the use of proving ad = AB and AE = AC in be = CD

Proof of congruence

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1. It is known that in △ ABC, ∠ BAC = 120 ° with AB and AC as sides, positive △ abd and positive △ ace are made outward respectively, and M is in AD It is known that in △ ABC, ∠ BAC = 120 ° with AB and AC as sides, make positive △ abd and positive △ ace outward respectively, M is the midpoint of AD, n is the midpoint of AE, and P is the midpoint of BC. It is proved that MP = NP
2. As shown in the figure, it is known that CD is the height of AB side in △ ABC, and ⊙ o with CD as diameter intersects Ca at point E, and point G is the midpoint of AD. (1) prove that GE is the tangent of ⊙ o; (2) if AC ⊥ BC, AC = 8, BC = 6, find the length of tangent Ge
3. As shown in the figure, it is known that in △ ABC, ad and AE are the height and the median line on the edge of BC, ab = 9cm, AC = 7cm, BC = 8cm, respectively
4. In △ ABC, high AD and be intersect at h, and BH = AC, then ∠ ABC=______ ．
5. When making excel table, how to calculate the difference between two time numbers and what is the formula
6. Chickens and rabbits are in the same cage. There are 15 more rabbits than chickens. They have 180 feet in total. How many chickens and rabbits are there
7. 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?
8. 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?
9. 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?
10. 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
11. As shown in the figure, abad = BCDE = ACAE, verification: △ abd ∽ ace
12. As shown in the figure, abad = BCDE = ACAE, verification: △ abd ∽ ace
13. As shown in the figure, abad = BCDE = ACAE, verification: △ abd ∽ ace
14. As shown in the figure, ab ⊥ AC, ab = AC, ad ⊥ AE, ad = AE
15. As shown in the figure, abad = BCDE = ACAE, verification: △ abd ∽ ace
16. As shown in the figure, △ ABC, ab = AC, D is the moving point on AB, DF ⊥ BC is at point F, and Ca extension line is at point E, (1) (2) when point D is on the extension line of Ba, other conditions remain unchanged. (1) is the conclusion still valid? Please give reasons
17. As shown in the figure, ad and AE are the height and middle line of the triangle ABC respectively, and ab = 8, AC = 5. What is the perimeter of the triangle Abe over the triangle ace? What is the relationship between the area of triangle Abe and triangle ace?
18. As shown in the figure, in △ ABC, ab = AC, be = AE, the perimeter of △ BCE is 12, BC = 5, find the length of ab
19. As shown in the figure, the side length of equilateral △ ABC is 12, ad is the middle line on BC side, M is the moving point on ad, e is a point on AC side, if AE = 4, the minimum value of EM + cm is______ ．
20. As shown in the figure: the side length of equilateral △ ABC is 5, ad is the middle line on BC side, M is the moving point on ad, e is a point on AC side. If AE = 2, the minimum value of EM + cm is________ The title says that the length of the side is 5. I can't find it on the Internet. I want the mid-term exam tomorrow