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190113 还原机经选题: 文字题&几何
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The product of x-intercept and y-intercept of a line is positive. Which of the following options does the slope k of the line satisfy?
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190113
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Two solutions of $$x^{2}$$+nx+60=0 are $$r_1$$ and $$r_2$$. What is the value of n?
(1) $$r_1$$$$r_2$$=60
(2) (x-5)is a factor of $$x^{2}$$+nx+60
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190113
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$$\frac{1-x^{n+1}}{1-x}$$=1+x+$$x^{2}$$+$$x^{3}$$+...+$$x^{n}$$.1+7+$$7^{2}$$+$$7^{3}$$+...+$$7^{8}$$=6725601.$$7^{9}$$=?
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190113
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The gardener planted iris in the rectangular garden, 5 irises in each row, and 7 irises in the last row. How many irises are there in the garden?
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190113
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According to the picture, AB=10. ∠B=60°, ∠C=45°. AC=?
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190113
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Is axy > bxy?
(1)ax > ay
(2) bx > by
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190603
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Given that x is a positive number and 2/(x+2)+3/(x+3)>1, what is the possible value of x2?
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190113
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Positive integer m is a multiple of 3. How many different prime factors of m?
(1) m/3 can be divided by 3.
(2) m/3 is an integer and has exactly two different prime factors.
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190113
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$$\frac{1}{2}$$($$\sqrt{3}$$+$$\sqrt{7}$$)+2$$\frac{1}{\sqrt{3}+\sqrt{7}}$$=?
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190113 还原机经选题: 文字题&几何
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According to the picture, a cylinder was placed at an angle on a horizontal plane. A is the center of the bottom circle, and AD is the radius of the circle. BC=10. AC is horizontal to the horizontal plane and perpendicular to BD. DC=?
(1)∠ADE=60°
(2)AC=2AD
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190113
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Tom charged tenants $16400 for two departments A and B last year. The rent of each department was charged monthly, and the monthly rent of these two departments was constant last year. The monthly rent of department A was $100 higher than that of department B. Department B was rented all year round, and department A was rented for 10 months. How much was department B rent per month?
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190603
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X is a positive integer and r is a non-negative integer. x can be divisible by 10r and cannot be divided by 10r+1. What is the value of r?
(1) X can be divided exactly by 25, but not by 26
(2) X can be divided exactly by 56, but not by 57
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190321
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There are five cylindrical containers, one large cylindrical container and four small cylindrical containers. The large cylindrical container has a diameter of 8 and a height of 16. The volume of the water it contains is 75% of that of the container. The diameter and height of four small cylindrical containers are 4. If the water from the big cylinder is poured into four small containers, how much water is left in the large container?
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190321
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Machine A can produce 1000 pieces/hour, and machine B can produce 750 pieces/hour. If two machines work together to produce 12,000 items in eight hours, what is the shortest time does machine A have to work?
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190321
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There are five numbers in the sequence, and the average is 12. What is the smallest of these 5 numbers?
1: The average of the four largest numbers is 15.
2: The average of the four smallest terms is 10.
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190321
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x=3/2,y=1/2,$$\frac{x^4y^2-x^2y^4}{x^2+y^2}$$ = ?
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190321
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The portion of the iceberg that is out of the water accounts for 1/8~1/7 of the total volume of the iceberg. What is the ratio of the part of the iceberg above the water to the part below the water?
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190321
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x,ware integers.$$x \neq 0. Is $$x^w$$ an integer?
1：w>0
2：x>0
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190321
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Every number in the set S is different. The set S contains all the solutions to (n-3)(n-5)(n-8) = 0. If a number will be picked from the set, what is the probability that this number satisfies the equation (n-3)(n-5)(n-8) = 0?
1: The numbers in the set are continuous.
2: There are 20 numbers in the set.
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190321 还原机经选题: 文字题&几何
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The probability of selecting each path is 1/2. What's the probability of getting to L from A?
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