⊙O的半径为5cm,弦AB=6cm,CD=8cm,且AB∥CD,弦AB、CD之间的距离为______.
人气:482 ℃ 时间:2019-11-01 09:34:31
解答
如图,作OE⊥AB,交CD于F,连结OA、OC,OA=OC=5cm,∵AB∥CD,∴OF⊥CD,∴AE=12AB=3cm,CF=12CD=4cm,在Rt△AOE中,OE=OA2−AE2=4cm,在Rt△COF中,OF=OC2−CF2=3cm,当圆心O在平行弦AB与CD之间,EF=OE+OF=4cm+3cm=...
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