题目内容
如图,AB是⊙O的直径,AB⊥CD, AB="10,CD=8," 则BE为( ▲ )
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A.3 | B.2 | C.5 | D.4 |
B
连接OC.
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∵AB是⊙O的直径,AB=10,
∴OC=OB=
AB=5;
又∵AB⊥CD于E,CD=8,
∴CE=
CD=4(垂径定理);
在Rt△COE中,OE=3(勾股定理),
∴BE=OB-OE=5-3=2,即BE=2;
故选B.
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∵AB是⊙O的直径,AB=10,
∴OC=OB=

又∵AB⊥CD于E,CD=8,
∴CE=

在Rt△COE中,OE=3(勾股定理),
∴BE=OB-OE=5-3=2,即BE=2;
故选B.
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