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190124 还原机经选题: 文字题&几何
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The outermost player passes the ball layer by layer to the inner player. There are three players on the first layer, four on the second layer and three on the third one. How many kinds of passing methods are possible?
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190124
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x comes from the set {-3,-2,-1,2,3}. How many different results can be achieved by substitute the possible value of x into the algebraic expression -|$$x^{2}$$-1|?
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190124
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$$a_1$$,$$a_2$$,$$a_3$$,$$a_4$$, $$a_5$$,$$a_6$$ are six integers, which are not equal to each other. f(x)=-$$x^{2}$$. What is the least number of results that can be achieved by substituting $$a_1$$,$$a_2$$,$$a_3$$,$$a_4$$, $$a_5$$,$$a_6$$ into f(x)?
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190124 还原机经选题: 文字题&几何
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The area of regular hexagon is $$54\sqrt{3}$$. What is the circumference of the regular hexagon?
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190124
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r,s are positive numbers. Is r < s?
1：r+s < 1
2：$$r^{2}$$=2s
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190124
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3=$$\sqrt[3]{y}$$,$$(\sqrt{y})^{6}$$=?
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190124
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The length of the rectangular garden is 3m longer than the width. The garden is surrounded by a classic walkway. The walkway is 3m wide. The total area of the rectangular garden and the footpath is 378 $$m^{2}$$. What is the length of the rectangular garden?
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190124 还原机经选题: 数论&代数
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Is 12500000 a factor of integer n?
1: n can be divided by $$5^{8}$$.
2: n can be divided by $$20^{5}$$.
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190124
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The cuboid of 24*20*10 inch^3 is coated with a 1 inch plastic foam. How many cubic feet is the difference between the volume of the cuboid before and after coating the plastic foam?
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190321
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$$\frac{ \sqrt{5} + \sqrt{3}}{ \sqrt{5} - \sqrt{3}}$$=?
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190321
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x=(x+y+z+w)/4 -1, y = (x+y+z+w)/3 - 3 , z=(x+y+z+w)/4 , w=16.x=?
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190321
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xy>0,x/y +y/x >2?
1.$$x \neq y$$
2.x=1.1y
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190321
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How many factors are there in 60?
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190321
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Someone spent a quarter of his total capital on stock A and the rest on stock B. Stock A is up 8% and stock B is down 4%. What's the percentage increase in total funds?
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190321
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[x] represents the integer that is not larger than x. Is [2d] equal to zero？
1：[d]=0
2：[3d]=0
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190321
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The set S consists of n consecutive integers. The minimum in S is 3. n =?
1: The mean is 6.
2: The range is equal to the mean.
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190321
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There are 20 balls in an opaque box. The color of the ball may be red, green, white, or yellow. There are five green balls in the box. The probability of picking a green ball or a yellow ball from the box is no more than 3/5. How many yellow balls are there at most?
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190321
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x is a three-digit number. The tens digit of x is twice the unit digit, and the hundreds digit is three times the sum of the rest of the digits. x =?
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190321
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$$y=a(x-h)^2-k.$$a=?
1: The functional image goes through (-3,0) and (1,0).
2: The functional image goes through (-1,4) and $$y \leq 4$$.
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190415
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0.0256=?
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