试题与答案

已知函数f(x)是奇函数,当x≤0,时,f(x)=x2-2x,那么当x>0时,f

题型:填空题

题目:

已知函数f(x)是奇函数,当x≤0,时,f(x)=x2-2x,那么当x>0时,f(x)的解析式是______.

答案:

由题意可得:设x>0,则-x<0;

∵当x≤0时,f(x)=x2-2x,

∴f(-x)=x2+2x,

因为函数f(x)是奇函数,

所以f(-x)=-f(x),

所以x>0时f(x)=-x2-2x,

故答案为f(x)=-x2-2x.

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I remember my first Christmas party with Grandma.I remember the day when my big sister dropped the bomb: “There is no Santa Claus,” she laughed.“Even dummies know that!”
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  “Go? Go where?” I asked.
  “Where” 23  to be the General Store.As we walked through its doors, Grandma   24 me ten dollars.That was a lot in those days.“Take this money and buy something for  25 needs it.I’ll wait for you in the car.”
  The store seemed big and  26 , full of people hurrying to finish their Christmas shopping.For a few moments I just stood there, 27  , holding that bill, wondering what to buy, and who on earth to buy it for.
  Suddenly I thought of Bobbie who sat right behind me.I remembered he didn’t have a coat.I fingered the bill with growing  28 .I would buy Bobbie a coat.
  “Is this a Christmas present for someone?” the lady behind the   29  asked me kindly, as I laid my ten dollars down
  “Yes,” I replied shyly.“It’s…for Bobbie.”
  The nice lady smiled at me.I didn’t get any  30 , but she put the coat in a bag and wished me a Merry Christmas.
  That evening, Grandma helped me  31  the coat and wrote, “To Bobby, From Santa Claus” on it.Then she  32 me over to Bobbie’s house.
  Grandma parked down the street from Bobbie’s house, and she and I crept 33 and hid in the  34 .Then Grandma gave me a sign.“All right, Santa Claus, get going.”
  I took a deep 35 , dashed for his front door, threw the present down, pounded his doorbell and flew back to the safety.Together we  36 breathlessly in the darkness for the front door to open.Finally it  37 , and there stood Bobbie.
Forty years haven’t dimmed the thrill of those  38 spent shivering, beside my grandma, in Bobbie’s bushes. 39 ,  I realized: Santa was alive and well, and we were  40  his team.
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