191222
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There is a rectangular tile made up of 60 small square tiles, and the area of the small square tile is 1 square foot. What is the minimum perimeter of this rectangular tile?
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191222
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The iron factory melts a cylinder with a diameter of 30 meters and a height of 20 meters into nine small cylinders of equal volume and 20 meters each in height. What is the diameter of the small cylinder?
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191222
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Given x + y is an integer, is y an integer?
(1)x-y is an integer
(2)x + 2y is an integer
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191222
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If the values of the slope and the y-intercept of line g are positive, and the values of the slope and the y-intercept of line k are positive, is the x-intercept of line g greater than the x-intercept of line k ?
(1)The slope of line g is greater than the slope of line k
(2)The y-intercept of line g is greater than the y-intercept of line k
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191222 还原机经选题
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If 12! is a multiple of $$(4!)^n$$ and not a multiple of $$(4!)^{n+1}$$, what is the value of n ?
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191222
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If a and b are positive integers, which are less than 10, what is the range of a/b?
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191222
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What's the value of [(3*√32 - 4*√2) /√8 ]^2?
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191222
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The score calculation rule of a test is to take the average of the scores of the four exams. The first three scores are 85, 83 and 70 respectively. How many points do you need to get in the fourth exam to make the average score is 80?
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191222
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A car has to go from one place to another, the average speed in city road is 15 miles/hour, and the average speed in highway is 60 miles/hour. Then it goes 5 miles in city road and goes 50 miles in highway, what is the total average speed? (results are round to the nearest integer)
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191222
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A square table side is 80 centimeters long, a circular tablecloth, the diameter of the circle length is equal to the diagonal length of the table, how many square centimeters is the area of the tablecloth?
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191222
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As shown in the figure, AC is perpendicular to BD. What is the difference between AB and CD?
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191222
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As shown in the figure, what is the expression for the trapezoid area?
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191222 还原机经选题
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p q r are positive integers, p+q+r=5, how many factors does $$2^p3^q5^r$$ have?
(1)p+q=3
(2)q+r=3
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191222 730高分节-数学测试
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$$ 1 + x + x ^ { 2 } + x ^ { 3 } + x ^ { 4 } < \frac { 1 } { 1 - x } ?$$
(1)x<1
(2)x>0
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191222
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f(x)=ax+b,a and b are both positive, what is the value of f(1)?
(1)f[f(x)]=4x+5
(2)f[f(1)]=-1
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191222
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Given that positive integer p is not a square number,is p prime ?
(1)Only p itself is the factor of p that is greater than $$\sqrt{p}$$
(2)Only 1 is the factor of p that is smaller than $$\sqrt{p}$$
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191222
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The height of tower A is 50 meters, of tower B is 200 meters, and the distance between these two towers is 300 meters. The government plans to build a wall between A and B , and the wall should not exceed the straight line of the tops of tower A and B. What is the greatest height of the wall if it is 100 meters away from the tower A ?
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191222
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A truck transports cargoes. First time, the truck transports 2/3 of the total cargoes, and the second time, it transports 1/3 of the remaining cargoes, finally the truck has 0.5 tons cargoes left. How many tons does truck have?
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191222
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If two dice are flipped at the same time, what is the probability that "6" shows up at least once ?
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191222
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As shown in the figure above, What's the value of ∠B ?
1:AE = CD
2:AE || CD
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