问题
填空题
已知C是线段AB上的点,D是AB延长线上的点,且AD:DB=AC:CB,若AB=6cm,AC=3.6cm,则AD=______cm,BD=______cm.
答案
∵AB=6cm,AC=3.6cm,∴BC=AB-AC=6-3.6=2.4,
∵AD:DB=AC:CB,∴AD:(AD-6)=3.6:2.4,AD=18,∴BD=AD-AB=12.故填18;12.
已知C是线段AB上的点,D是AB延长线上的点,且AD:DB=AC:CB,若AB=6cm,AC=3.6cm,则AD=______cm,BD=______cm.
∵AB=6cm,AC=3.6cm,∴BC=AB-AC=6-3.6=2.4,
∵AD:DB=AC:CB,∴AD:(AD-6)=3.6:2.4,AD=18,∴BD=AD-AB=12.故填18;12.