In the parallelogram ABCD, ad and BC are taken as sides respectively, and the equilateral △ ade and equilateral triangle BFC are made outside the parallelogram ABCD

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• 1. Taking the adjacent sides AB and ad of the parallelogram ABCD as one side, we make an equilateral triangle ABF and ade outside the parallelogram, and prove that △ CEF is also an equilateral triangle
• 2. A special parallelogram problem is known as rectangle ABCD, which makes an equilateral triangle ade and an equilateral triangle CDF with AD and CD as one side respectively, connecting be and BF The value of be / BF is equal to_____ .
• 3. E is a point in the square ABCD, and △ EAB is an equilateral triangle, then ∠ ade=______ ．
• 4. E is a point in the square ABCD, and △ EAB is an equilateral triangle, then ∠ ade=______ ．
• 5. E is a point in the square ABCD, and there is ∠ ade = ∠ DAE = 15 ° to prove that △ BCE is an equilateral triangle
• 6. E is a point in the square ABCD, and the angle ade is equal to the angle DAE is equal to 15 degrees. It is proved that BCE is an equilateral triangle
• 7. In the quadrilateral ABCD, ab = 2, radical 5, BC = 2, CD = 1, ad = 5, and angle c = 90 degrees, find the area of quadrilateral ABCD
• 8. It is known that C is a point on the line AB, and △ ACD and △ BCE are equilateral triangles
• 9. As shown in the figure, C is a point on the line AB, △ ACD and △ BCE are equilateral triangles. AE intersects CD at point m, BD intersects CE at point n, AE intersects AE at point O. The results are as follows: (1) AOB = 120 °; (2) cm = cn; (3) Mn ‖ ab
• 10. In the quadrilateral ABCD, BC = 2, DC = 4, and ∠ A: ∠ ABC: ∠ C: ∠ ADC = 3:7:4:10, find the length of ab
• 11. There are 500 kg apples in the fruit shop, just 1 / 9 more than pears. How many kg pears?
• 12. The total weight of two cases of apples is 20 kg. If 4 / 1 kg is taken out of the first case and put into the second case, the two cases of apples will have the same weight? Please
• 13. Both Party A and Party B go from place a to place B. Party A walks 5km per hour, 1.5h first, and Party B bicycles for 50min. They arrive at place B at the same time, One is to set X kilometers per hour. Is there another solution? In the second method, the equation should not be set at the speed of X kilometers per hour
• 14. What is the biggest difference between beam bridge and arch bridge? Detailed description of stress characteristics? Urgent
• 15. A company organized a group outing. Eight people rushed to the railway station by two cars. One of the cars broke down 15 km away from the railway station. At this time, there is still 42 minutes to stop the train checking in. At this time, only one car can be used, or they can walk. The average speed of the car is 60 km / h, and the walking speed is 5 km / h, Can all eight of them catch the train? (1) Can all the eight people catch up with the train if they can get back and forth by this car alone (2) Please come up with two plans to make these eight people catch the train (regardless of other factors)
• 16. It takes 10 hours for the passenger car to complete the whole journey, 12 hours for the freight car to complete the whole journey, and 5 hours for the two cars to leave each other How many kilometers is the distance between the two cities It's 50 kilometers in five hours
• 17. Xiaoming and Xiaojun have 52 cards in total, and the number of Xiaoming's cards is two times that of Xiaojun's. how many cards do they each have?
• 18. Write three different formulas with negative 6 3 4 10 so that the result is equal to 24
• 19. A mathematical problem of finding rules in grade one of junior high school Example: 1 / 1 × 2 = 1-1 / 2 1 / 2 × 3 = 1 / 2-1 / 3 Calculation: 1 / 1 × 3 + 1 / 3 × 5 + 1 / 5 × 7 + 1/99× 101=?
• 20. There is a series of numbers "1, 1, 1, 3, 5, 9, 17, 31, 57, 105." what is the remainder of the number 2011 divided by 3