The 20th "Wuyang Cup" junior high school mathematics competition (examination time: 90 minutes; Full marks 100) 1. Multiple choice questions (4 categories 1, 5 points for each small question, otherwise 0 points. This big question is out of 50 points) 1. The value of. Equal to () ..; b； c； d。 2.( ).Ab； c； D..3 If, then, the number of positive numbers is (). a； B. one; C. one; It's possible. 4. There is a regular triangular prism with a side length of. Now cut off a part of it, and the remaining volume is (). ab； c； D..5 Given that the quartic equation with one variable has three equal real roots and another different real root, there are () true propositions among the following three propositions. (1) may be established; ② It may be established; (3) may be established. Ab； c； D. .6。 Given that the decimal place of a square number is 7, then its single place is (). a； b； c； D..7. If the two roots of the equation about are sum,,, then the relationship with is (). a； b； c； Not sure. 8. All integer solutions of the equation about have () groups. b； c； D. .9。 Let the quadratic function satisfy: If, then the maximum value of ... is () ...; b； c； The value of d. 10. Yes (). Ab； c； D2。 Fill in the blanks (5 points for each small question, otherwise the score is 0. The full mark of this big question is 50) 1 1. When the sum of the squares of four sides of a square with points, points and points is the smallest, its area will be _ _ _ _. 12. The solution to inequality is _ _ _ _ .65438+. The value range of is _ _ _.14. The sum of all the real roots of the equation is _ _ _ _.15. If this point is different from the sum on the arc of the circumscribed circle of a regular triangle, judge the relationship between the sum: _ _ _ _ _ (fill in). 16. The horizontal distance between them is m. If someone wants to walk from one location to another and take the route in the picture, when the included angle is _ _ _ _ _, it takes the least time. 17. Non-overlapping straight lines passing through a point on a plane are called straight line clusters about that point, and at this time they are called the order of the straight line clusters (note: it can be taken that the straight line clusters degenerate into points at this time). If there are two non-overlapping points on a plane, and the sum of the order of this point and the linear cluster about this point is, then the maximum number of areas formed by all straight lines dividing the planes of these two linear clusters is _ _ _ _ _ _, and the minimum number is _ _ _.18. If the largest integer is known, then _ _ ② …; ③ The minimum value of ... is _ _ _ _ _, and the maximum value is _ _ _ _. 20. It is a function of taking a small number and a function of taking a large number. For example, the solution of the equation is _ _ _ _. The standard answer to the third question of the 20th "Wuyang Cup" junior high school mathematics competition 1. Multiple choice questions (65433 out of 4) or 0. This big question is out of 50 points). Question number 12345, answer 6789 10, answer cbbb c.2. Fill in the blanks (5 points for each small question, or 0 points for this big question, out of 50 points). The problem number is 1 165438. x≥ 12 c & lt； 2-3 or c & gt2+3-2 = 30o3 1, 16 QuestionNo. 18 19 20 Answer 2206 2008, 2008 35+2245 30 or 35-2245 30.