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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
It can be seen from the number axis that a > 0, b > 0
RELATED INFORMATIONS
- 1. 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,
- 2. 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
- 3. 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_ →
- 4. When | x-3 | + | x + 1 | > 6, the position of the point corresponding to the number x on the number axis is____________
- 5. Combining number with shape, the number axis | X-1 | + | X-2 | + | x-3 | + +|Minimum value of x-2011 |
- 6. 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------
- 7. The distance between a and B is expressed as | ab | = | A-B |. Please find the minimum value of | x + 1 | + | X-2 |
- 8. 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
- 9. If the number represented by point C is x, when point C is at what position, the minimum value of | x + 1 | + | X-2 |?
- 10. If the number represented by point C is x, when point C is at what position, the minimum value of | x + 1 | + | X-2 |?
- 11. 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 |
- 12. 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
- 13. It is known that AB is a rational number and its position on the number axis is shown in the figure ______________________ → b 0 a Simplification: B-A + A-B + A + B
- 14. What is the sum of all rational numbers whose absolute value is not greater than 3.14
- 15. The rational numbers a, B, C are not 0, and a + B + C = 0, let x = B + C the absolute value of a + C + a the absolute value of B + A + B the absolute value of C Find the value of the 19th power - 99x + 2004 of the algebraic formula x
- 16. When the absolute value of a + B is equal to the absolute value of a - the absolute value of B, what rational numbers should a and B be
- 17. If a is less than 0 and the absolute value of a is greater than that of B, then A-B is equal to?
- 18. It is known that ABCD is four different rational numbers, AB < 0, A-B > 0, a + B < 0, and B + C = 0, CD = - 1, where (continue) | a | > 1, try to determine the size relationship of ABCD, and show it on the number axis. (number axis or something, write out the numbers, and use - to type out the interval of each number) that.. you should pay a little attention to the format, it's better to segment, otherwise you will have a headache. Thank you (bow)
- 19. We know four different rational numbers a, B, C and D, and ab is less than 0, A-B is greater than 0, a + B is less than 0, B + C = O, where the absolute value of a is 0
- 20. Given the lengths of ABC edges of triangle 2a, 5, 3A + 5, find the value range of A