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190124 还原机经选题: 文字题&几何
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In rectangular ABCD, ab = 10, BC = 6. What is the area of the blank area?
1：l=0.8
2：∠d=45°
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190124
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Which of the following options satisfy $$x^{-9}$$ - $$x^{-8}$$ > 0?
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190124
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{$$x_1$$,$$x_2$$,$$x_3$$,$$x_4$$,$$x_5$$}={-$$\frac{1}{\sqrt{\frac{1}{5}}}$$,$$\frac{-\frac{1}{5}}{\sqrt{\frac{1}{5}}}$$,$$\frac{-1}{\sqrt{\frac{1}{3}}}$$,$$\frac{-\frac{1}{3}}{\sqrt{\frac{1}{3}}}$$,-1}.$$x_1$$ < $$x_2$$ < $$x_3$$ < $$x_4$$ < $$x_5$$,$$x_4$$=?
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190124
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Line AC and line BC are tangent to circle O at A and B respectively. What is the radius of the circle O?
1：∠C=60°
2：AC=10
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190124
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Half of the seats in a theater belong to zone A, 1/4 to zone B, and 1/4 to zone C. The price of each ticket in zone A and zone C is 80% and 140% of that in zone B, respectively. What's the average fare for this theater?
1: The price of each ticket in zone B is $25.
2: There are 400 seats in the theatre.
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190124
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There were a lot of goods at the wharf. For the first time, a third of the goods were shipped. For the second time, three fifths of the rest were transported away. At this time, there were still 2/5 tons of goods on the wharf. What is the total tons of the goods?
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190124
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Which line in the coordinate system only passes through only one point whose x and y coordinates are all integers?
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190124 还原机经选题: 文字题&几何
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In quadrilateral ABCD, ∠BAD=90°, ∠ABC=75°, ∠BCD=60°, AB=AD=10. What is the circumference of the quadrilateral ABCD?
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190124
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$$\frac{4+\sqrt{28}}{\sqrt{9}+7}$$=?
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190124
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a=0.8b, b=0.8c. What is the percentage of A less than C?
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190124 还原机经选题: 文字题&几何
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The length of two adjacent sides of a quadrilateral is 30 and 40. Is the quadrilateral a rectangle?
1: The angle between the two sides is 90 °
2: The length of each diagonal of a quadrilateral is 50
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190124
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$$( \sqrt{2}-1)^{-1}$$=?
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190124
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Which of the following options is the set of positive integers satisfying equation $$(x-1)^{2}$$ - 1 ≤ 0?
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181215
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How many solutions does the equation $$\frac{x^{2}-1}{x-1}$$=0 have?
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181215
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Is x a factor of 24?
1: 3x is a factor of 48.
2: 5x is a factor of 60.
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181215
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x,y are real numbers. y is more than x, and the extra part is 22% of y. $$\frac{x}{y}$$=?
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181215
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The distance between a planet and the Earth is km, and the distance between the Moon and the Earth is km. On a map, the distance between the Moon and the Earth is 1cm, so how many kilometers is the distance between the planet and the Earth approximate(on the map)?
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181215
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If $$\frac{1}{n(n+1)}$$ - $$\frac{1}{(n+1)(n+2)}$$ = $$\frac{2}{n(n+1)(n+2)}$$ , so $$\frac{2*9900}{3*4*5}$$+$$\frac{2*9900}{4*5*6}$$+......+$$\frac{2*9900}{98*99*100}$$=?
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181215
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n=？
1: The greatest common factor for n and 12 is 4.
2: The least common multiple of n and 12 is 60.
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181215
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The particle rotates around a fixed circular orbit. It just returns to the starting point after rotating for 300 miles(one circle). What is the radius of the orbit?
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