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<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">如图，</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">AB</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">是圆</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">O</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">的直径，弦</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">CD</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">⊥</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">AB</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">，∠</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">BCD</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">30</span></span><span style="line-height:150%"><span style="font-family:新宋体">°，</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">CD</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">4</span></span></span></span></span><img height="18" src="/uploads/meth/20210325/b75c533410f80420ca7dbcd2a121e773.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">，则</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">S</span></span></i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:新宋体">阴影</span></span></span></sub><span style="line-height:150%"><span style="font-family:新宋体">＝（　　）</span></span></span></span></span><br />
                                                                                                                         <img height="141" src="/uploads/meth/20210325/8ef990378c87bb7f5eec29a0fab8d252.png" width="125" />

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<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">解：如图，假设线段</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">CD</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">、</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">AB</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">交于点</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">E</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">∵</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">AB</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">是</span></span><span style="line-height:150%"><span style="font-family:"Cambria Math"">⊙</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">O</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">的直径，弦</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">CD</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">⊥</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">AB</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">∴</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">CE</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">ED</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">2</span></span></span></span></span><img height="18" src="/uploads/meth/20210325/0037a0b107b44a9e1720f1ff88aef4a9.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">又∵∠</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">BCD</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">30</span></span><span style="line-height:150%"><span style="font-family:新宋体">°，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">∴∠</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">DOE</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">2</span></span><span style="line-height:150%"><span style="font-family:新宋体">∠</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">BCD</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">60</span></span><span style="line-height:150%"><span style="font-family:新宋体">°，∠</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">ODE</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">30</span></span><span style="line-height:150%"><span style="font-family:新宋体">°，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">∴</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">OE</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">DE</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">•</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">cot60</span></span><span style="line-height:150%"><span style="font-family:新宋体">°＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">2</span></span></span></span></span><img height="18" src="/uploads/meth/20210325/685283dba43978ab421c273506026a66.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">×</span></span></span></span></span><img height="37" src="/uploads/meth/20210325/c2b38288c9052fab35f26401b757f036.png" width="23" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">2</span></span><span style="line-height:150%"><span style="font-family:新宋体">，</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">OD</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">2<i>OE</i></span></span><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">4</span></span><span style="line-height:150%"><span style="font-family:新宋体">，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">∴</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">S</span></span></i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:新宋体">阴影</span></span></span></sub><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">S</span></span></i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:新宋体">扇形</span></span></span></sub><i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:"Times New Roman"">ODB</span></span></span></sub></i><span style="line-height:150%"><span style="font-family:新宋体">﹣</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">S</span></span></i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:新宋体">△</span></span></span></sub><i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:"Times New Roman"">DOE</span></span></span></sub></i><span style="line-height:150%"><span style="font-family:"Times New Roman"">+<i>S</i></span></span><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:新宋体">△</span></span></span></sub><i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:"Times New Roman"">BEC</span></span></span></sub></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span></span></span></span><img height="41" src="/uploads/meth/20210325/c836967a1079e278adcb1627a817baf5.png" width="80" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">﹣</span></span></span></span></span><img height="35" src="/uploads/meth/20210325/7ff5c23dcf3c47e788b18e3a302ff692.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">OE</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">×</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">DE</span></span></i><span style="line-height:150%"><span style="font-family:"Times New Roman"">+</span></span></span></span></span><img height="35" src="/uploads/meth/20210325/737a4332cfc4b8a489ae6e15f266ce57.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">BE</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">•</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">CE</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span></span></span></span><img height="35" src="/uploads/meth/20210325/9ed744032b46c02a14519e70cb46ab94.png" width="29" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">﹣</span></span><span style="line-height:150%"><span style="font-family:"Times New Roman"">2</span></span></span></span></span><img height="18" src="/uploads/meth/20210325/55c4bf8ab08f0cd5929cdc0f798ee76e.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:"Times New Roman"">+2</span></span></span></span></span><img height="18" src="/uploads/meth/20210325/227d3b169a8f00403e855877640ebd2f.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span></span></span></span><img height="35" src="/uploads/meth/20210325/308aead3c98e135917cbc030f1b9577c.png" width="29" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">．</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">故选</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">B</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">．</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="line-height:150%"><span style="font-family:新宋体">方法二：证明△</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">CEB</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">≌△</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">DEO</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">（</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">AAS</span></span></i><span style="line-height:150%"><span style="font-family:新宋体">），可得</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">S</span></span></i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:新宋体">阴影</span></span></span></sub><span style="line-height:150%"><span style="font-family:新宋体">＝</span></span><i><span style="line-height:150%"><span style="font-family:"Times New Roman"">S</span></span></i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:新宋体">扇形</span></span></span></sub><i><sub><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:"Times New Roman"">ODB</span></span></span></sub></i><span style="line-height:150%"><span style="font-family:新宋体">．</span></span></span></span></span><br />
<img height="141" src="/uploads/meth/20210325/92592fff5272a91b98cec2adc3d0461d.png" width="125" /><br />

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