y = |sinx|+|cosx| ï¼0
y² = sin²x+cos²x+|2sinxcosx| = 1+|sin2x|
y = â ( 1 + |sin2x| )
å®ä¹åï¼xå±äºR
|sin2x|å±äºã0ï¼1ã
1 + |sin2x| å±äºã1ï¼2ã
â ( 1 + |sin2x| )å±äºã1ï¼â2ã
å¼åï¼ã1ï¼â2ã
f(x+Ï/2) = âï½( 1 + |sin(2x+Ï)| ) = âï½( 1 + |-sin2x| ) = â ( 1 + |sin2x| ) = f(x)
å¨æÏ/2
2xå±äºï¼kÏï¼kÏ+Ï/2ï¼æ¶ï¼ f(x) åè°å¢ï¼2xå±äºï¼kÏ-Ï/2ï¼kÏï¼æ¶f(x)åè°å
åè°å¢åºé´ï¼ï¼kÏ/2ï¼kÏ/2+Ï/4ï¼;åè°ååºé´ï¼ï¼kÏ/2-Ï/4ï¼kÏ/2ï¼
å¾åï¼