问题
选择题
已知函数f(x)=2cos(πx-
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答案
f(x)=2cos(πx-
π)+1=-2sinπx+1,由T=3 2
=2,可知函数的周期是2,2π π
又f(-x)=-2sin(-πx)+1=2sinπx+1≠f(x)也不是-f(x),所以函数是非奇非偶函数.
所以函数f(x)是周期为2的非奇非偶函数.
故选D.
已知函数f(x)=2cos(πx-
|
f(x)=2cos(πx-
π)+1=-2sinπx+1,由T=3 2
=2,可知函数的周期是2,2π π
又f(-x)=-2sin(-πx)+1=2sinπx+1≠f(x)也不是-f(x),所以函数是非奇非偶函数.
所以函数f(x)是周期为2的非奇非偶函数.
故选D.
I drove a school bus as a part-time job. Thirty-nine children all had stories to tell me about their summers. Charlie though __16__me. From the first day on Charlie was __17__. If a fight broke out I didn’t have to turn my __18__to know who had started it. If a girl was crying chances were that Charlie had __19__ her hair. No matter how I spoke to him gently or __20__ he wouldn’t say a word. He’d just __21__ me with those big gray eyes of his. One day I found a small tin heart (小锡心)on the bus was gone. “Does anyone know __22__happened to the little heart here” I asked. Some children cried “Charlie __23__it Search him” When I asked him to come forward his gaze( 注视) __24__ my eyes. I stuck my hand into one of his pockets. Then I felt it—the __25__ outline(轮廓)of the small tin heart. Charlie stared at me for a long time. There were no __26__ in those big gray eyes no plea( 恳求) for mercy. He seemed to be waiting for what he’d come to __27__ from the world. I was about to pull the tin heart out of Charlie’s pocket __28__I stopped myself. Let him keep it, I said “It must have fallen off before I got here.” Without a word Charlie __29__ to his seat. When he got off at his stop, he didn’t so much as glance at me. Several days later just that__30__ Charlie moved away… A dozen years after retirement we met in the street. To my __31__, he hugged me. After he let go, he pulled something from his pocket and held it up for me to see. An old key chain… bent out of __32__, the lettering faded (消褪). You __33__probably guess what it was—the little tin heart. “You were the only one who kept trying.” He explained. We __34__ again and went our separate ways. I am so __35__ I’d done a good job.
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