而x?y?1,即
22x21t(e?e?t)24?y21t(e?e?t)24?1
(2)当??k?,k?Z时,y?0,x??1t(e?e?t),即x?1,且y?0; 2?1t?t当??k??,k?Z时,x?0,y??(e?e),即x?0;
222x2x2y?t?t?te?e?2e????k???cos?cos?sin?,k?Z时,得?当??,即?
2y2x2y2?et?e?t??2e?t????sin?cos?sin???得2e?2et?t?(2x2y2x2y?)(?) cos?sin?cos?sin?x2y2??1。 即
cos2?sin2??10?tcos??x?10.解:设直线为?(t为参数),代入曲线并整理得 2?y?tsin??(1?sin2?)t2?(10cos?)t?3?0 232则PM?PN?t1t2? 1?sin2??3?2所以当sin??1时,即??,PM?PN的最小值为,此时??
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