Sketch, on a single diagram, the graphs of $$\(y=\left|\frac{1}{2} x-a\right|\)$$ and $$\(y=\frac{3}{2} x-\frac{1}{2} a\)$$, where $$\(a\)$$ is a positive constant. Find the coordinates of the point of intersection of the two graphs. ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................
Exam No：9709_w20_qp_22 Year：2020 Question No：3(b)
Answer:
Solve linear equation with signs of \(\frac{1}{2} x\) and \(\frac{3}{2} x\) different or solve non-modulus equation \(\left(\frac{1}{2} x-a\right)^{2}=\left(\frac{3}{2} x-\frac{1}{2} a\right)^{2}\) to obtain \(x=\)
Obtain \(x=\frac{3}{4} a\)
Obtain \(y=\frac{5}{8} a\)
Obtain \(x=\frac{3}{4} a\)
Obtain \(y=\frac{5}{8} a\)
Knowledge points:
2.1.1 understand the meaning of |x| , sketch the graph of y = |ax + b| and use relations such as |a| = |b| a - b < x < a + b when solving equations and inequalities (Graphs of and for non-linear functions are not included.)
Solution:
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