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190124 还原机经选题: 文字题&几何
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A committee is composed of 3 males and 3 females. All of them are elected from 7 males and 7 females. How many different cases are there?
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190124 还原机经选题: 文字题&几何
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There is a cone container that contains some water (as shown in the figure). H = 4R. The water flows out at the speed of q. How long does all of the water flow out?
1: The distance between water surface and cone vertex is h.
2: The radius of the water surface is r.
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190124
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A six-digit number is composed of 54X, Y, and 18. X and Y could be 3,5,8 and X and Y can be equal. How many cases are there in which 8 is a factor of this six-digit number?
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190124
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140 cards are given to m children (m≥2). Each person can receive the same number of cards. What's the possible value of m?
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190603
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Mary has two methods to depart from A to C. The first one is A-B-C with speed of 80 meters per hour, and the other one is A-C with speed of 60 meters per hour. How many hours Mary used in A-C less than used in A-B-C?
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190603
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There is originally a mixture of 9 liters of x and water, with water accounting for 75%. How much water was poured and replaced with same amount of x, and the final volume of water accounted for 50%?
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190603
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According to the picture, what is the area of the shaded part?
(1)The length of arc AC= the length of chord AC +(π+8)
(2)The length of arc AC ：the length of chord AC = π：$$\sqrt{8}$$
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190603
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Mary has been paying telephone bills monthly for 24 consecutive months. Is the average of 24 months of telephone bills greater than 50?
Condition 1: At least the monthly bill is greater than 48
Condition 2: At least more than half of the month's phone bill exceeds 51
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190603
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A household's water fee is calculated as follows: the fixed fee per month plus the variable fee. The fixed fee per month is 9 yuan, and the variable fee is 2.2 yuan per 1,000 when the water consumption exceeds 12,000. How much did a household with a water consumption of 13,400 pay in August?
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第一期
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If p and q are all integers, is p+q an odd integer?
(1) p is an even integer
(2) $$(p^2-q^2)(p^2+q^2)$$ is odd
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第一期
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Is $$\sqrt{x^6} = y^3$$ ?
(1)x=y
(2)x≥0
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181215
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$$S_1$$=1,$$S_2$$=2,$$S_3$$=$$2^{1}$$=2,$$S_n$$={$$S_{n-1}$$}^{$$S_{n-1}$$}.$$\frac{S_6}{S_5}$$=?
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190113
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If f(x)=f(1-x), f(1+x)=?
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190113
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When -1< x < -3/4, which option has the maximum value?
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190113
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Tom invested in A, B, and C shares with a total return of $2400. The return ratio among the three stocks A, B, and C is 2:3:7. What's the return of stock C?
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190113
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A driver originally drove at a constant speed of 17 miles/h. Then, he increased the speed and continued to drive at a constant speed. How much more time can he save if he drove 255 miles at the increased speed than at original speed?
(1)It took 2.5h to drive 255 miles at the increased speed.
(2)He drove for 4 hours at the original speed.
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190113
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$$a_n$$=$$a_n$$-2+11（n > 3）. Does the number 633 belongs to the number series {$$a_n$$}?
(1)$$a_1$$=28
(2)$$a_2$$=30
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190113
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According to the picture, AB is perpendicular to BD. AB=6, BC=8, CD=4/3. What`s the relationship between $$b_1$$ and $$b_2$$?
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190113
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Two workers worked together. It took the worker A six hours to finish 5000 pieces. It took the worker B two hours to finish the same workload. If A and B start to work simultaneously, and stop at the same time, how much does the output of the worker A account for the total output of A and B?
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190113
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$$(9+\frac{1}{9})^{2}$$-$$(9-\frac{1}{9})^{2}$$=?
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