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There are three points A, B and C on the given number axis. The rational numbers they represent are 4,-6, x (x <0). 1. Find the distance between two points A and B; 2. Find the number represented by the midpoint D of the line segment AB; 3. Given AC=8, find the value of X Given that there are three points A, B and C on the number axis, their rational numbers are 4,-6 and x (x <0) respectively. 1. Find the distance between two points A and B; 2. Find the number represented by the midpoint D of the line segment AB; 3. Given AC=8, find the value of X
AB =| XB - XA |=|-6-4|=10
XD =(XA+AB)/2=(4-6)/2=-1
AC=8
| X-4|=8
X-4=±8
X=-4, or 12
X <0
X=-4
There are three points A, B and C on the given number axis, and their rational numbers are 6,-8 and x, respectively. (1) Find the length of line segment AB; (2) Finding the number represented by the midpoint D of the line segment AB; (3) Given AC=8, find the value of x. The third question is answered with the knowledge of the first day.
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