It is known that in △ ABC, the opposite sides of ∠ a, B and C are a, B and C respectively, and satisfy the following conditions: A & # 178; + B & # 178; + C & # 178; + 338 = 10A + 24B + 26c, Try to judge the shape of △ ABC

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• 1. If three sides ABC of triangle ABC satisfy (a-5) & sup2; + (B-12) & sup2; + C & sup2; = 26c-169, the shape of ABC is judged
• 2. In triangle ABC, the corresponding sides of angle a, angle B and angle c are a, B and C respectively, and a & # 178; + B & # 178; + C & # 178; + 338 = 10A + 24B + 26c. Try to judge the shape of triangle ABC and prove it. (practice in the chapter of Pythagorean theorem, find the solution ~)
• 3. If the three sides of the triangle ABC are a, B, C and satisfy the following conditions: A2 + B2 + C2 + 338 = 10A + 24B + 26c, then the height of the longest side of the triangle ABC is () A. 8B. 125C. 6013D. 245
• 4. In the acute angle △ ABC, if ∠ C = 2 ∠ B, the value range of CB is______ ．
• 5. In the acute triangle ABC, ∠ C = 2 ∠ B, then the value range of ∠ B is ()
• 6. In the triangle ABC, if the angle a ∈ [π / 4, π / 3], and its area is s, then the value range of the vector ab · vector AC
• 7. In the triangle ABC, AB * BC = 3, the area s of triangle ABC ∈ [root 3,3 / 2], then the value range of the angle between AB and BC
• 8. Evaluation: (1) if a and B are non-zero rational numbers, and a | a | + B | B | = 0, find the value of ab | ab |; (2) it is known that a is the smallest positive integer, B and C are rational numbers, and | 2 + B | + (3a + 2C) 2 = 0. Find the value of formula 4ac + c-a2 + C2 + 4
• 9. If a, B and C are non-zero rational numbers, what is the value of AB / | ab | + BC / | BC | + AC / | AC |
• 10. The substitution elimination method is used to solve the equations 2x + 5Y = - 5,3x-y = 18
• 11. If three sides a, B, C of △ ABC satisfy a & # 178; + B & # 178; + C & # 178; + 338 = 10A + 24B + 26c, then s △ ABC=
• 12. If ABC is known to be the trilateral length of △ ABC and the absolute value of A-B plus the absolute value of B-C = 0, then ABC is a triangle
• 13. 1. There are 270 people in the three engineering teams of Party A, Party B and Party C. due to the need of work, 15 people are drawn from each team of Party A and Party B to team C. at this time: A: B: C = 1:3:2, how many people are there in team B? 2. The number of trees planted by a, B and C is one half of that of B, C and C. the number of trees planted by B is one third of that of a, C and C. It is known that 130 trees have been planted by C. how many trees have been planted by a? 4. During the promotion period, the price of a piece of clothing will decrease (1 / 11). If the activity ends and the original price is restored, how much will the price increase? 5. A batch of parts are packed in boxes. When they are packed in 10 boxes, only 16 / 25 of them are packed. The remaining parts are only enough for 5 boxes and 20 more. How many parts are there in this batch?
• 14. 【1】 The chemical fertilizer plant has several tons of chemical fertilizer in stock. The first shipment is 6 tons less than 25% of the total. The second shipment is 60% of the total. At this time, there are 36 tons left. How many tons of chemical fertilizer were in stock? 【2】 A basket of apples weighs 54 kg, one third of the total number sold in the first time, and the remaining 60% sold in the second time. How many kg are left in the basket? 【3】 For two adjacent odd numbers, the decimal is 40% smaller than the large number, and the product of these two odd numbers is ()
• 15. Pull the rectangle nailed with wooden strips into a parallelogram, its area () A. Bigger B. smaller C. unchanged
• 16. The price of taxi in a city is: 5 yuan for less than 3 km (including 3 km), 1 km for more than 3 km (1 km for less than 1 km) It costs 1.2 yuan. Xiaoxiao takes a taxi from home to the gymnasium for 7.3 kilometers. How much does Xiaoxiao pay?
• 17. As shown in the figure, in ladder ABCD, ad ‖ BC, e is the midpoint of CD, AE ⊥ be, ab = AD + BC
• 18. It takes 65 seconds for a train to cross the 990 meter bridge. It takes only 15 seconds for a train to pass through a pole at the same speed. What's the speed of the train What is its total length
• 19. The perimeter of a rectangle is 48 decimeters, and its length is twice its width. What's the area of a rectangle
• 20. In the past, it took 8 hours for a workshop to produce 1200 parts. After the technical innovation, it took only 6 hours to complete the task, and the work efficiency increased by several percent