The positions of rational numbers a, B and C are shown in the figure, and the graph of | a + B | - | B-1 | - | a-c | - | 1-C | - B -- a -- 0 -- C -- 1 is calculated
Known: - B < a < - 1 < 0 < C < 1
Ask: | a + B | - | B-1 | - | a-c | - | 1-C|
Original formula = (a + b) - (B-1) - (C-A) - (1-C)
=a+b-b+1-c+a-1+c
=2a
RELATED INFORMATIONS
- 1. Now we stipulate an operation, a * b = (a + b) - (a-b), where a and B are rational numbers, then what is a * B + (a + b) * (a-b) equal to? Please make it clear to me, Good point
- 2. A new operation is provided: a * b = (a + b) - (a-b) where a and B are rational numbers, then what is a * B + (a + b) * (a-b) equal to What is (a + b) * equal to?
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- 8. The four numbers a, B, C and D are arranged in two rows and two columns, and a vertical line is added on both sides to mark them as | a B |, which defines | a B | = ad BC, | C D | C D| 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, |c d| | c d| The above notation is called a determinant of order 2 |x+1 1-x| |1-x x + 1 | = 6, then x= . |A B, definition a B|= |c d| |c d|
- 9. The four numbers ABCD are arranged in two rows and two columns, and a vertical line is added on both sides to mark ABCD, and ABCD = ad BC is defined If x + 1 1-x 1-x + 1 = 8, then x
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- 11. Let three mutually unequal rational numbers be expressed in the form of 1, a + B, a, or 0, B / A, B, then B-A =?
- 12. If three unequal rational numbers can be expressed as either 1, a, a + B or 0, B, a / B, the values of a and B can be obtained
- 13. Given that a and B are rational numbers and - 3B + (a - √ 3) √ 3 = 5 + 6 √ 3, find the value of a + B
- 14. Given that A.B is a rational number and [a + √ 3B] square = 7-4 √ 3, find the value of A.B
- 15. Given rational numbers a and B, and (a + √ 3b) ^ 2 = 3 + A ^ 2-A √ 3, find the value of √ a + B
- 16. Given that a and B are rational numbers and (a + √ 3b) ^ 2 = 7-4 √ 3, find the value of a and B
- 17. For the definition of rational number AB, calculate: a △ B = (3a + b) / (a-3b). Find the value of 7 △ 6
- 18. If the rational numbers a and B satisfy that a is not = 0 and a + 3B = 0, find the value of the third power of - (A / b)
- 19. Given that the rational numbers a and B are not zero, and a + = 3B = 0, find the value of the third power of a minus B
- 20. If one side of the triangle is 5cm long and the other side is 7cm long, the value range of the middle line length on the third line is ()