If the number represented by point C is x, when point C is on the number axis, where does | x + 1 | + | X-2 | get the minimum value? Write down the process of doing the problem. Write the arithmetic or the written form
Interval [- 1,2]
RELATED INFORMATIONS
- 1. If the number represented by point C is x, when point C is at what position, the minimum value of | x + 1 | + | X-2 |?
- 2. If the number represented by point C is x, when point C is at what position, the minimum value of | x + 1 | + | X-2 |?
- 3. If the point C represents the number x, when the point C is at what position, the minimum value of | x + 2 | + | x-3 |?
- 4. When point C is located on the number axis, the value of | x 1 | X-2 | is the smallest?
- 5. Given that the distance between the point M representing the number a and the point n representing the number - 1 on the number axis is 3, and the distance between the point n representing the number B and the point n representing the number 2 is 4, find the distance between the two points m and n
- 6. The solution set X + 1 < 3 ① 2x + 9 > 3 ② is expressed on the number axis
- 7. The solution set of inequality system 3 / 2x + 1 > X-1 / 2,3-x ≥ 2 is expressed as?
- 8. If the system of inequalities 2x + 3 ≥ 1 MX
- 9. If the point corresponding to the real number a on the number axis is on the left side of the origin, and the distance from the point to the origin is 5 unit lengths, then a=______ .
- 10. If the number represented by point a on the number axis is a real number a (on the left), then the distance from a to the origin is I think it's a, because according to the number axis, the absolute value of the distance between two numbers, the absolute value of the distance from 0 to - A is a, but the answer is - A, why, if there is a positive a, then the distance between positive a and negative a is a, where is - a? We can only say that the point is - A, but the distance is still a
- 11. The distance between a and B is expressed as | ab | = | A-B |. Please find the minimum value of | x + 1 | + | X-2 |
- 12. The position of rational number AB on the number axis is known. For the formula | a | + 1, when a takes what value, it has the minimum value? What is the minimum value? --- a --- 0 -- B------
- 13. Combining number with shape, the number axis | X-1 | + | X-2 | + | x-3 | + +|Minimum value of x-2011 |
- 14. When | x-3 | + | x + 1 | > 6, the position of the point corresponding to the number x on the number axis is____________
- 15. The positions of rational numbers a and BC on the number axis are shown in the figure, simplifying | B-A | + | B + C | - | a-c| _ A___ b______ 0______ c_ →
- 16. Given the position of rational number ABC on the number axis as shown in the figure - c-b-0-a, and | a | = | B |, find the value of a + B and a of B to judge B + C a-c BC AC Given the position of rational number ABC on the number axis as shown in the figure - c-b-0-a, and | a | = | B |, find the value of a + B and a of B to judge the sign of B + C a-c BC AC and a-c of b-c
- 17. The positions of rational numbers a, B and C on the number axis are known as shown in the figure, which is simplified as follows: | ABC | / ABC + (a + B + C) / | a + B + C | - | BC | / BC - (C-B) / | C-B | - a / | a On the number axis, if a and - 2 B are equal to 1, C is equal to - 1 The above error, a on the number axis wants to be equal to - 4, B is equal to 1, C is equal to - 1, which is only determined by my naked eye, because there is no upload map,
- 18. The positions of rational numbers a, B and C are shown in the figure, and | a | = | B| Simplify | a | - | a + B | - | - C-A | + | - C-B | + | - AC | - | - 2b| The number axis is ———————— c b 0 a
- 19. The positions of rational numbers a and B on the number axis are shown in the figure —a— -1——0—b— 1——》 Find | a + B | + B-A | + ab |
- 20. AB is two points on the number axis, and the rational numbers corresponding to AB on the number axis are - 3 and - 5 respectively When point P moves on line ob, M is the midpoint of PA and N is the midpoint of ob. Find out the quantitative relationship among line Mn, OP and ab