（2013?房山区二模）如图，A，B，C，D是⊙O上的四个点，过点B的切线与DC的延长线交于点E．若∠BCD=110°

(2013 \u626c\u5dde)\u5982\u56fe,\u25b3ABC \u5185\u63a5\u4e8e\u2299O,\u5f26AD\u22a5AB \u4ea4BC\u4e8e\u70b9E,\u8fc7\u70b9B\u4f5c\u2299O\u7684\u5207\u7ebf\u4ea4\u7684\u5ef6\u957f\u7ebf\u4e8e\u70b9F

\uff081\uff09\u8bc1\u660e\uff1a\u2235BF\u662f\u2299O\u7684\u5207\u7ebf\uff0c\u2234\u22203=\u2220C\uff0c\u2235\u2220ABF=\u2220ABC\uff0c\u5373\u22203=\u22202\uff0c\u2234\u22202=\u2220C\uff0c\u2234AB=AC\uff1b

\u89e3\uff1a\u2235AB\u4e3a\u76f4\u5f84
\u2234BD\u22a5AC
\u2234\u2220ABD\uff1d90\u00b0
\u2235BC\u4e3a\u5207\u7ebf
\u2234AB\u22a5BC
\u53c8\u2235AD\uff1dDC
\u2234BD\u5e73\u5206\u2220ABC
\u5373\u2220ABD\uff1d\u2220DBC\uff1d45\u00b0

∵A，B，C，D是⊙O上的四个点，∴∠A+∠BCD=180°，
∵∠BCD=110°，∴∠A=70°．
∵BE与⊙O相切于点B，∴∠DBE=∠A=70°．
故选B．

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