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<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">如图，在平面直角坐标系中，矩形</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">OABC</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">的顶点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">A</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">在</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">轴上，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">C</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">在</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">轴上，把矩形</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">OABC</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">沿对角线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">AC</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">所在的直线翻折，点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">恰好落在反比例函数</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/d2029bd340954d794ef99d4714e83359.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">k</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">≠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）的图象上的点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B′</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">处，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">CB′</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">与</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">轴交于点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">D</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，已知</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">DB′=2</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">ACB=30°</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">．</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">1</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）求</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B'CO</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">的度数；</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">2</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）求反比例函数</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/ce9c3c2d57ef361ac913992fd3c6db1e.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">k</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">≠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）的函数表达式；</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">3</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）若</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">Q</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">是反比例函数</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/3913812c3d540f8581cadf58aa94b14d.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">k</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">≠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）图象上的一点，在坐标轴上是否存在点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，使以</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">Q</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">C</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">D</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">为顶点的四边形是平行四边形？若存在，请求出</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">点的坐标；若不存在，请说明理由．</span></span></span></span></span></span><br /> <img height="170" src="/uploads/meth/20201224/bde3ca81f3559f62316aca60037669e7.png" width="147" />
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<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">解：（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">1</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∵</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">四边形</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">ABCO</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">是矩形，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴∠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">BCO=90°</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∵∠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">ACB=</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">ACB′=30°</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴∠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B′CO=90°</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">﹣</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">60°=30°</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">．</span></span></span></span></span></span><br /> <br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">2</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）如图</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">1</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">中，作</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B′H</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">⊥</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">轴于</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">H</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">．</span></span></span></span></span></span><br /> <img height="180" src="/uploads/meth/20201224/dee09ed4722fd57544f6c37e2b142da1.png" width="147" /><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∵∠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">DAC=</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">DAC=</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">DAB′=30°</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">AD=CD=2DB′=4</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">CB′=6</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B′H=3</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">CH=3</span></span></span></span></span><img height="18" src="/uploads/meth/20201224/f534543c8c1f4082ea6a130ad441295b.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">CO=2</span></span></span></span></span><img height="18" src="/uploads/meth/20201224/7b1bc2305fd6c351cf95688184bdd7c2.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">OH=</span></span></span></span></span><img height="18" src="/uploads/meth/20201224/7b0054992cac71cf27c3d7c786735fb3.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B′</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span></span></span></span><img height="18" src="/uploads/meth/20201224/b82c04353d12312e5ffef7c715d2786b.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">3</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∵</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">反比例函数</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/171d1e4f6be3b4d224e36373c4a91760.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">k</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">≠</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）的图象经过点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B′</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">k=3</span></span></span></span></span><img height="18" src="/uploads/meth/20201224/57c2b7c607184c2fbd89b96390169301.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="37" src="/uploads/meth/20201224/0b95d3f13a7603f07580c640080378a5.png" width="33" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">．</span></span></span></span></span></span><br /> <br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">3</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）如图</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">2</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">中，作</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">DQ</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∥</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">轴交</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="37" src="/uploads/meth/20201224/a02a220ef1e253bba6c1da662812fe48.png" width="33" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">于</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">Q</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/466e27c8221af9037e329060501abcd1.png" width="33" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">2</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），以</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">DQ</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">为边构造平行四边形可得</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>1</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（﹣</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/1499973d5d346044de5b68acc0b103cd.png" width="23" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>2</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（﹣</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/9121031deb4af845510d40523b0d5253.png" width="33" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）；</span></span></span></span></span></span><br /> <img height="206" src="/uploads/meth/20201224/7b0c29eafe492b4d574cf35864415fa9.png" width="156" /><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">如图</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">3</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">中，作</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">CQ′</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∥</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">OA</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">交</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="37" src="/uploads/meth/20201224/b07fdafe83497cb4cb1ae5a0c076af1f.png" width="33" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">于</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">Q′</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（﹣</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">2</span></span></span></span></span><img height="18" src="/uploads/meth/20201224/9a04cc21f507b6af670de475c218a6f9.png" width="20" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，﹣</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/6695a63bea0c84ea0feedd1367fbdb73.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），以</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">CQ′</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">为边构造平行四边形可得</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>3</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/a9295dd8600c730eb28e80f82c6ceedf.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>4</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/ca72ad06f63654cf6f827013fe026589.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）；</span></span></span></span></span></span><br /> <img height="195" src="/uploads/meth/20201224/d256b724097dad49ff0984f9c8c6c8d9.png" width="147" /><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">如图</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">4</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">中，当</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">Q″</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（﹣</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/86104bd0293de5035fe7e9c20d3bc5ee.png" width="33" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，﹣</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">2</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），以</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">CQ″</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">为边构造平行四边形可得</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>5</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/ea6f6cc74a7d3ac66b713c2c804dc994.png" width="23" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span></span></span></span><br /> <img height="202" src="/uploads/meth/20201224/8f217dd5f029ede4309ee52eb524f013.png" width="147" /><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">综上所述，满足条件的点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">坐标为</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>1</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（﹣</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/4e95ff41e567a9d82ff4d60377678bdc.png" width="23" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>2</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（﹣</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/e2a6b29d109a4f8daea03d3a78884303.png" width="33" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>3</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/1eda0dccc93a025a6e389802ce2c8dbc.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>4</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/05906f59677402a63853fdc5594087a1.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">P<sub>5</sub></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/f4695b5fb50d28345a7a5c46aca620c1.png" width="23" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）．</span></span></span></span></span></span>
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