求下列函数的傅里叶级数展开式：[tex=8.214x1.357]kEPI5WwnwC/4osrhuwcJn1bEYDNSfFo9tjF3JhtLWkk=[/tex]
由于 [tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex] 的周期是 [tex=1.071x1.0]tieuzjBYrMcmxP3HXZSPGQ==[/tex]，在 [tex=2.929x1.357]QpSc4Vs3d1MTNQAH70ziEw==[/tex] 上为偶函数， 从而 [tex=2.143x1.214]fbeA1YcPjDAvqe5rSa0Pnw==[/tex]， 及[tex=13.143x4.786]w70lG1NUs5ZRhKHaXMaifahNYA2l55OVx/YI5vl5IU66o5oN4TxAyUM4cdSzWjvYym8eMDfORiu683JL+EMpMr22OcC+t9kOEnCrR6AbwmXcWbCWfqA73OJZQoG+VQb9QG2hWAxGOxSAXavriHZtRLCiTUl3r6kLs/AU06TOdGo9eK3xIC2AOIOU4mN02nwpiahigirDE867zOJw4cUGuQ==[/tex]因此 [tex=17.357x2.643]7azsp+8ADGG+lymu1xOg/Az5avoWNc4KAlgdoOUxFghygYbiiDy+yx69t+BSkdUiyEJjh4OgZrpdeG1Y+nvDZBTHiiZKqJxElu8ZA8SpRH67JmC/vOzH2AXgmQ7itIZOyUEbJZTnxDe9W3x06gRjpa0Ul9iFBDUC+pZ+DfN0EPo=[/tex],[tex=21.714x6.786]Rn4bViMJhAf4iI5bVPyBvYgd5ziGDRipjC+TFb4uuVADir5CGfLlKsLS320OSP04IT4WqHedUmg4BENG7v4lWWje6mtrI1sA5mjJAcqh8hGVna/QM4UBZK2XrwqNT4nGtVokGjqbZKqHWsvObBur/AdmKwxyXY54AEhx+Pi/J50yP2WyyrVp+RylmJr3WHJwbSuO+84ktXhdlRkOWJXSTrjEqrtLEQN+FNQWR5O9uR6RCp2HeE409ValUyu0eZplRC1aSh2Mdf5VoDcAdVOG+WZysKphFIKQkHrdnNZhOfbQaqSmug23/ZreCAeRUY6qpl0b0cjQDlqDh1q1Dn3OSZEIso165cgKta8kbd8/+IQ=[/tex]故 [tex=25.214x3.643]kEPI5WwnwC/4osrhuwcJn8KwCWLsLlDcJ/3ee1lykO8AdwusAIkhcEugLtKKTOF9e8x/XuxjtJtXThtrbmNAq+/0sDpNpFO/z1ZdtnAvNacL//FD4G0Vt+6Zl5wlrWGxdMo8fs+P1hlktNrtggRQfBjMO3MYTqiSWyaSvacGXj0=[/tex].
举一反三
- 求下列函数的傅里叶级数展开式：[tex=10.143x1.357]qAU07a/UMA9qmDdYIFZHilEJmiBRkoK3A8RHEzZ4P4W8f1Zgl8fZyxMJ2QQ6azCB[/tex]
- 求下列函数的傅里叶级数展开式：[tex=10.429x2.286]i41q0BRTWZJQmNRPJQhH+gumwgQDzGqtl/61T6v1cRw=[/tex]
- 求下列函数的傅里叶级数展开式：[tex=10.071x1.357]5cM/LvJqoCikO7A5c+WCIFvkMrcH8wM/sSdNFcbb5l7CiIY7PXE8owHe7h0e7UQ9[/tex]
- 求下列周期函数的傅里叶级数展开式:[tex=6.0x1.286]bQVUWNAQtxnnx3MDKSPt5Q==[/tex] (周期1).
- 求函数系的傅里叶级数展开式:[tex=7.786x1.286]lKoao7AHJRlCMQaCikocwd9FkYgBIUtHum5SptVMYS0=[/tex],[tex=5.071x1.286]Y9nIBZA1Le7w9q8FIC0XtoPFAMFg+TzqgyUq4oFDpNDYqB7143ZGAm8mHpbxFBSP[/tex].
内容
- 0
求下列函数的傅里叶级数展开式：[tex=8.143x1.357]sg3p+2f20Op/P/0bHR/IRv9zhJM8b8m1rAS/tNhp098=[/tex]
- 1
求函数系的傅里叶级数展开式:[tex=4.786x1.286]nH2DJmYYQnPd2rudvdBaoAdZmPf1q4U8JS4et/PM1E4=[/tex], [tex=5.071x1.286]dJuo9ok621YT5T6DdN5n6Q==[/tex].
- 2
求函数系的傅里叶级数展开式:[tex=4.714x1.286]yMsmC0x7/wwm86y7D1/DjAyU+fpeCiQowMpnX18ppp4=[/tex], [tex=5.071x1.286]dJuo9ok621YT5T6DdN5n6Q==[/tex].
- 3
求函数系的傅里叶级数展开式:[tex=5.714x1.786]S5OqWFECK+XJ+deZMqIloKc/r5vHsTyWNBLtOuV3YlY=[/tex], [tex=4.714x1.286]YWNNbKhK/Ci/EWgxXO5gLQ==[/tex].
- 4
求下列周期函数的傅里叶级数展开式:[tex=5.857x1.286]qMOLsARs2Ww+rZ87Gf3UqkRFv4VMGpbOjRzRZ3JBlsY=[/tex] (周期 [tex=0.643x1.286]USGVpa36zb6HMu8k0moHJA==[/tex]) .