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The point representing an integer on the number axis is called integral point. The unit length of a certain number axis is 1cm. If a line segment AB with length of 2010cm is drawn randomly on the number axis, the integral point covered by the line segment AB is () A. 2009 B. 2010 C. 2010 or 2009 D. 2010 or 2011
According to the meaning of the question: ① when the starting point of line AB is on the whole point, it covers 2011 numbers; ② when the starting point of line AB is not on the whole point, that is, between two whole points, it covers 2010 numbers, so select D
A container contains 1 liter of water. Pour out the water according to the following requirements: 12 liters of water are poured out in the first time, 13 liters of water are poured out in the second time, 14 liters of water are poured out in the third time, 15 liters of water are poured out in the fourth time According to this method of pouring water, the amount of water left in the container after 10 times pouring is ()
A. 1011 l B. 19 L C. 110 l D. 111 L
∵1-12-12×13-13×14-14×15… -110×111=1-12-12+13-13+14-14+15… -110 + 111 = 111. So according to this method of pouring water, there are 111 liters of water after 10 times of pouring water
Given that the coordinates of a and B on the number axis are - 3 and - 6 respectively, if we find a point C on the number axis so that the distance between a and C is 4; if we find a point d so that the distance between B and D is 1, which of the following is impossible to be the distance between C and D ()
A. 0B. 2C. 4D. 6
According to the meaning of the question, the position of point C and point D on the number axis is as shown in the figure: there are two C points on the number axis that make the distance of AC 4: there are two D points on C1 and C2 that make the distance of BD 1: D1 and D2 ① the distance between C and D is c2d2 = 0; ② the distance between C and D is c2d1 = 2; ③ the distance between C and D is c1d2 = 8; ④ the distance between C and D is c1d1 = 6; comprehensively, we know that the distance between C and D is possible It is: 0, 2, 6, 8
RELATED INFORMATIONS
- 1. The positions of rational numbers a and B on the number axis are shown in the figure. Now compare the sizes of a, B, C and D. the correct one is () ———┃—————————————┃————┃——————＞ a 0 b A,-a
- 2. ABCD, the absolute value of ABCD is divided by ABCD to get negative 1. Find the absolute value of a in a + B in B + C in C + D in D
- 3. Block determinant ABCD = ad BC M = matrix ABCD proves that | m | = | ad-bc | does not give whether AD two are invertible
- 4. A. If B, C and D are four points in order on a straight line, and AC = 10, BD = 8, then the value of AB * CD + BC * ad is equal to____ .
- 5. We define the symbol | a B | C D |, which means | a B | C D | = ad BC We specify the symbol | a B| |c d|, It means | a B| |c d| = ad-bc , For example, 1 2| |3 4| =1*4-2*3=-2 If | x + 1 2x| |2 / 3, 1 / 2 | = 1, Find the value of X
- 6. Given that the real numbers a, B, C and D are not equal to each other, and a + 1b = B + 1C = C + 1D = D + 1A = x, try to find the value of X
- 7. Known x, y, Z are real numbers, if x + y + Z ≠ 0, a = x / x + y, B = Y / Z + X, C = Z / x + y, find the value of a / A + 1, B / B + 1, C / C + 1, please answer in detail!
- 8. a. B are different prime numbers, and 1 / A + B / a = 20 / 91, what are a and B?
- 9. 16 = () + () = () + () prime
- 10. The least common multiple of the three prime numbers is 42. The three prime numbers are (), (), ()
- 11. Starting from a point (not a vertex) on an edge of a polygon, connecting each vertex to get 2003 triangles, then the number of sides of the polygon is () A. 2001B. 2005C. 2004D. 2006
- 12. When a ship goes back and forth between a and B, assuming that the speed of the ship in still water does not change, the time it takes for the ship to go back and forth once when the water velocity increases______ (a) no change (b) increase (c) decrease (d) increase or decrease is possible
- 13. Xiao Ming, his father and his mother are playing on the seesaw. Their weight is 150kg. His father is sitting on one end of the seesaw. Xiao Ming, who weighs only half of his mother, is sitting on the other end of the seesaw with his mother. At this time, his father's end is still on the ground. Can you guess what range Xiao Ming's weight should be?
- 14. Xiao Ming, his father and his mother are playing on the seesaw. Their weight is 150kg. His father is sitting on one end of the seesaw. Xiao Ming, who weighs only half of his mother, is sitting on the other end of the seesaw with his mother. At this time, his father's end is still on the ground. Can you guess what range Xiao Ming's weight should be?
- 15. The four numbers a, B, C and D are arranged in two rows and two columns, and a vertical line is added on each side to mark them as ABCD. Adcb = ad BC is defined, The four numbers a, B, C and D are arranged in two rows and two columns, and a vertical line is added on each side to mark them as | a B |, which is defined as | a B | = ad BC, The above notation is called a determinant of order 2 |x+1 x-1| |1-x x + 1 | = 6, then x= By the way, how did you get it
- 16. The following definition is given: char * AA [2] = {"ABCD", "ABCD"} A) The values of AA array elements are "ABCD" and "ABCD"“ B) AA is a pointer variable that points to a one-dimensional array of characters containing two array elements C) The two elements of AA array respectively store the first address of one-dimensional character array with four characters D) The two elements of the AA array store the addresses of the characters' a 'and' a ' God to explain the following ah
- 17. Let a, B, C and d be nonnegative integers, then AC + BD + AD + BC = 1997, then a + B + C + D=______ ．
- 18. For any two integers, a "+" B = a + B-1, a "×" B = axb-1, Find the value of 4 "×" [(6 "+" 8) "+ (3" × "5)]
- 19. Two kinds of operations are defined, i.e. "0" and "0". For any two integers, a, B, a, B = a + B-1, a, B = a * B-1, the I'm not allowed to finish the title : (1) the value of 4 0 [(16 ￣ 8) ￣ (3 ￣ 5)] (2) If x [
- 20. For integers a, B, C, D, the symbol ∣ A / D - B / C ∣ denotes the operation AC – BD. given that 1 ∣ 1 / D - B / 4 ∣ 3, what is the value of B + D?