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190113 还原机经选题: 文字题&几何
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According to the picture, if quadrilateral ABCD and quadrilateral EFGH are rectangles, in terms of x, y, and z, what is the value of $$S_ABCD$$-$$S_EFGH$$
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190113
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A sequence contains 11 numbers. Is the median of the sequence greater than 50?
(1) Only 5 numbers are less than 49.
(2) Only 5 numbers are greater than 49.
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190113 还原机经选题: 文字题&几何
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What is the total length of the 10 vertical lines?
(1) a = 2
(2) b = 3
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190113 还原机经选题: 文字题&几何
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There are three programs in one ceremony: violin performance, piano performance, and trumpet performance. In each performance, two students will respectively perform on the same instrument in order. A and B can only play the violin, C and D can only play the piano, and E and F can only play the trumpet. How many different appearance orders?
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190113 还原机经选题: 文字题&几何
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The distance between a planet and the earth is 4*$$10^{13}$$ km, and the distance between the earth and the moon is 2.5*$$10^{5}$$ km. On a map, the distance between the earth and the moon is 1 cm. What is the distance, in kilometer, between the planet and the earth on the map?
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190113
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45 sweets were evenly distributed to a group of children, and the number of sweets left was 3 less than that of children. The number of the children can not be?
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190113
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According to the picture, the length, width, and height of a cuboid ABCDEFGH are a, b, and c, respectively. The cuboid is grounded with the surfaces as shown in figure (1) (2) and is filled with equal volume of water with height of x and y respectively. y/b=?
(1)7x=10c
(2)x=9
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190113 还原机经选题: 文字题&几何
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According to the picture, four circles with radius of 1 are tangent to each other. What is the radius of the common circumscribed circle?
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190113 还原机经选题: 文字题&几何
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The face values of paper money are different, but the thickness of these paper money is the same. The thickness of the paper money with total value of $ 10,000 is 35 feet 10 inches when paper money with only face value of $20 are stacked. What is the height in feet when paper money with only face value of $50 are stacked to get total value of $6000000000? (1 feet = 12 inches)
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190113
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$$\frac{1}{n(n-1)}$$-$$\frac{1}{(n-1)(n-2)}$$=$$\frac{2}{n(n-1)(n-2)}$$,$$\frac{ab}{4*5*6}$$+$$\frac{ab}{5*6*7}$$+...+$$\frac{ab}{19*20*21}$$=?
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190113
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According to the picture, AB=10. O is the center of this circle, and AB is the diameter of the circle O. AC=?
(1)AC+BC=14
(2)BC:AB=3:5
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190113
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A positive integer is selected between 101 and 1000, inclusive. What is the probability that this positive integer can be divided by 25?
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190124
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Is the average of the sequence greater than the median?
1: 60% of the number in the sequence is less than the average.
2: The average of the sequence is greater than the average of the minimum and maximum.
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190321
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A and B have seven suitcases in total. They waited for their suitcases to go through security. Security agents were required to pick two of the 15 suitcases at random for security screening. What was the probability that the selected two suitcases belong to A or B?
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190124
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Is a even?
1：$$a^{b}$$+b is even.
2：$$b^{a}$$+a is even.
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190124
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500 students chose courses. Students who didn't take a single course accounted for 1% of the total. Students who took 1, 2, 3 and 4 courses accounted for 50%, 30%, 10% and 9% of the total number of students respectively. What is the median of the number of the courses the students chose?
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190124
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There are 10 numbers in a set. What is the median of these 10 numbers?
1: The average is 5.
2: The range is 14
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190124
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$$y_1$$=$$x^{2}$$-3,$$y_2$$=2x+5,is $$y_1$$ > $$y_2$$ ?
1：x > -2
2：x < 4
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190321
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$$r=u^2+v^2$$,$$s=2uv$$,$$t=u^2-v^2$$.How to express $$r^2$$ with s and t?
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190321
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In a rectangular coordinate system, lines r and h both pass through the point (1,-1). The product of the slope of line r and line h is -1. The x-intercept of line r is 3. What is the vertical intercept of line h?
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