190310 还原机经选题: 数论&代数
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The number of people in the tour group is counted as x. The ticket rules of the amusement park are: when x≤10, the total ticket price is $120; when 11≤x≤20, the total ticket price is 80 + 4x dollars; when x > 20, the total ticket price is 8x dollars. How many people are there in group B?
1: Group A has three fewer people than group B.
2: Group B pays $4 more than group A.
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190310
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In the rectangular coordinate system, the length of AB equals to that of AC. A(0,0), B(1,3). If the coordinates of point C are all integers, then C has 8 possible positions. How many different values does BC have?
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190310
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The area of a regular hexagon is $$72 \sqrt{3}$$. What is the length of each side of the regular hexagon?
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190310
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Is X an odd number?
1: The minimum prime factor of X is 5
2: The maximum prime factor of X is 11
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190310
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There are 20 donations in the company. The amount of donation is only $9, $10, $11. What's the average number of donations for these 20 people?
1: The number of people who donate $9 was the same as the number who donate $11.
2: The number of people who donate $9 was more than the number who donate $10.
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190310
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Someone poured 1m^3 of water into a cuboid. What was the height of water in the cuboid?
1: The height of the cuboid is 2m.
2: The length and width of the cuboid are both 4m.
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190310
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The product of three positive numbers,$$2^4$$,x,$$5^3$$ , is a multiple of $$10^4$$. What is the minimum value of x?
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190310 还原机经选题: 文字题&几何 730高分节-数学测试
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54x,y12 is a six digit number. x,y can be 3, 5, or 8. The value of x and y may be the same. What's the probability that the number can be divided by eight?
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190310
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Which of the following lines only passes through only one point whose abscissa and ordinate are integers?
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190310
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$$\sqrt[3]{x} = 3$$.$$(\sqrt{x})^6$$ = ?
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190310
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The pulley has three wheels A, B and C. Circle A has a radius of 2. Circle B has a radius of 4. Circle C has a radius of 8. If circle A rotates 3 turns counterclockwise, how many turns does circle B and circle C rotate in total?
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190310
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The outermost player passes the ball layer by layer to the inner player. There are four players on the first layer, three on the second layer and four on the third one. How many kinds of passing methods are possible?
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190310
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$$\frac{(n+9)!}{(n+10)!+(n+9)!} = \frac{1}{4!} n$$=?
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190310
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The relationship between a store's profit y and sales x is
What's the sales volume of this week?
1: This week's sales were three more than that of the last week.
2: This week's profit was $30 more than that of the last week.
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190310
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It took 15 minutes for a person to ride a bicycle from A to B. It took 25 minutes from B to A. The distance between A and B is 2km. What was the average speed of this person?
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190310
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The hexagon ABFCDE is composed of two equilateral triangles, triangle ADE and triangle BCF, and a rectangle ABCD. The equilateral triangle has a side length of 12. In the rectangular ABCD, AB = 30. What is the length of line EF?
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190310
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$$(9^{900}+3^{1800})^2$$ =?
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190310
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A community committee was composed of six people, three men and three women. This committee was randomly selected from seven men and seven women. What is the number of different composition schemes?
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190310
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Line AC and line BC are tangent to circle O at A and B respectively. What is the radius of the circle O?
1:∠C=60°
2:AC=10
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190310
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ABCD is a square, the length of which is 10. DE is a quarter arc with C as the center and CD as the radius. EF is a quarter arc with B as the center and BE as the radius. FG is a quarter arc with A as the center AF as the radius. GH is a quarter arc with D as the center DG as the radius. What is the total length of arcs DE + EF + FG + GH?
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