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Maths. Section Formular

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Let A(-13,-5) and B(1,-12) be two given points. Find the ratio AP:PB and the coordinates of P if (i) AB:AP = 7:3 (ii) PB:AB = 2:7

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Let A(-13,-5) and B(1,-12) be two given points. Find the ratio AP:PB and the coordinates of P if (i) AB:AP = 7:3 (ii) PB:AB = 2:7 (i)AB:AP=7:3, AP:BP=3:4 若P為內分點, P([3x1+4x(-13)]/(3+4), [3x(-12)+4x(-5)]/(3+4) =P(-7,-8) 若P為外分點, P([-3x1+4x(-13)]/(-3+4), [-3x(-12)+4x(-5)]/(-3+4) =P(-55,16) (ii) PB:AB = 2:7 AP:PB=5:2 若P為內分點, P([5x1+2x(-13)]/(5+2), [5x(-12)+2x(-5)]/(5+2) =P(-3,-10) 若P為外分點, P([5x1-2x(-13)]/(5-2), [5x(-12)-2x(-5)]/(5-2) =P(31/3,-50/3)

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