過(guò)⊙O內(nèi)一點(diǎn)M的最長(zhǎng)的弦長(zhǎng)為6cm,最短的弦長(zhǎng)為4cm,則OM的長(zhǎng)為 _ cm.
過(guò)⊙O內(nèi)一點(diǎn)M的最長(zhǎng)的弦長(zhǎng)為6cm,最短的弦長(zhǎng)為4cm,則OM的長(zhǎng)為 ___ cm.
優(yōu)質(zhì)解答
![](http://hiphotos.baidu.com/zhidao/pic/item/3b87e950352ac65c46f154c1f8f2b21192138a8f.jpg)
如圖,∵AB=6cm,CD=4cm,
∴由垂徑定理OC=3cm,CM=2cm,
∴由勾股定理得OM=
=
=
cm,
故答案為
.
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