第八届大学生数学竞赛预赛数学类试题参考解答

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4、½rankB

5、š"¢ê),Ù¥detL«1ª.y²P(1)(1)(2017

6、)(2017)A1=(p1;


;p2016);:::;A2017=(p1;


;p2016):.........(5©)•Ä‚5•§

7、(1)(2017)x1p1+


+x2017p1=0..........(10©)du™•ê‡êŒu•§‡ê§T‚5•§

8、7kš")(c1;


;c2017).lc1A1+


+c2017A20171˜•0§•kdet(c1A1+


+c2017A2017)=0:y."...........(20©)13•£
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10、1(x)f1(x)f0(x)=dxdx0f1(x)+f0(x)0f1(x)+f0(x)Z122Z11f1(x)+f0(x)f1(x)f0(x)>dxdx20(f1(x)+f0(x))0f1(x)+f0(x)Z12(f1(x)f0(x))=dx>0:02(f1(x)+f0(x))8B/Œ±y²an+1>an;n=1;2;


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11、(10©)Ù¥c=2cn;n=0;1;


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