190113
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According to the picture, ∠ABC=?
(1)D is the center of the circle.
(2)∠CAB=42°
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190113
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The capacity of a tank is 48 m³. It will be injected with water at the speed of 10L/min. How many hours will it take to fill the water tank? (1L=0.001 m³)
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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
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The linear equation is 4x + 3y-10 = 0. What's the slope of this line?
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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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Given the distance between the starting point and the ending point on the map, what's the speed of a person driving this distance?
(1) The scale of the map is given.
(2) How long does it take for this person to drive from the starting point to the destination.
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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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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 还原机经选题
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Two students, Tom and Mary, solved the equation at the same time. Tom thought that the solutions of the equation were 1 and – 9, but he misread the corresponding number of c in the calculation. Mary thought that the solutions of the equation were 1 and 7, but Mary mistook the corresponding number of b in the calculation. What are correct solutions of this equation?
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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, BD=10. AC is perpendicular to CD. BC is perpendicular to AD. CD=?
(1)θ =60°
(2)AD=2AC
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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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190113
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If f(x)=f(1-x), f(1+x)=?
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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 还原机经选题
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1, 11, 111, 1111, 11111, -
What are the tens of the sum of the first 40 items in this series?
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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 还原机经选题: 文字题&几何
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Mary has crayons in three colors. She fills four areas A, B, C, and D with her crayons, and an area can be painted with only one of these three colors. If the colors of two adjacent areas cannot be repeated, how many filling methods are there in total?
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190113 还原机经选题: 文字题&几何
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There were 50 students in a school. The school has three courses, A, B, and C. Students can take 0, 1, 2 and 3 courses. The numbers of students that took A, B, and C were 22, 25, and 33, respectively. 11 students took both A and B. 20 students took both B and C, and 19 students took both A and C. 9 students took all three courses. How many students didn`t take any course?
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190113
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What is the units digit of the sum of $$5^{5}$$+ $$6^{5}$$+ $$7^{5}$$+ $$8^{5}$$=?
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