已知:⊙O的半径为5cm,弦AB∥CD,AB=8cm,CD=6cm,求AB和CD之间的距离
已知:⊙O的半径为5cm,弦AB∥CD,AB=8cm,CD=6cm,求AB和CD之间的距离....
已知:⊙O的半径为5cm,弦AB∥CD,AB=8cm,CD=6cm,求AB和CD之间的距离.
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小坏_琺縂
推荐于2016-09-18
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![](https://iknow-pic.cdn.bcebos.com/b2de9c82d158ccbf7d57158b1ad8bc3eb0354193?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
解:①当弦AB和CD在圆心同侧时,如图,
∵AB=8cm,CD=6cm,
∴AE=4cm,CF=3cm,
∵OA=OC=5cm,
∴EO=3cm,OF=4cm,
∴EF=OF-OE=1cm;
②当弦AB和CD在圆心异侧时,如图,
![](https://iknow-pic.cdn.bcebos.com/d0c8a786c9177f3e43df5cbc73cf3bc79e3d5693?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
∵AB=8cm,CD=6cm,
∴AF=4cm,CE=3cm,
∵OA=OC=5cm,
∴EO=4cm,OF=3cm,
∴EF=OF+OE=7cm.
故答案为:1cm或7cm.
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