2019年數(shù)學(xué)分析中科院考研真題答案

1、??????????????????2006??????????!#“$%989@ABC1(15D)EabFHGHIHJHKHLx=0MHNHOHPy=???axbQx≥0x21Qx0UHK?∞n=11anVHWHXEHYHUHK?∞n=11an1ZVHWH[3(15D)mn≥0]H^HKXEH_HD?10xm(1?x)ndx`Ha[4(15D)a0f(x)b[?aa]cH`HdHeH`HfHJHKXhg?a?af(x)1exdx=?a

2、0f(x)dx.5(15D)iJiKf(x)Lijik[ab]`iliminpoiqirtsvuiNvOvwf?(a)=f?(b)=0gixLξ∈(ab)FHy|f??(ξ)|≥4(b?a)2|f(b)?f(a)|.6(15D)HzHaHJHKf(x)H|HH~HOHKHLoHq[ab]cH?HdHeXh?wf(a)=0gmaxx∈[ab]|f(x)|≤√b?a(?ba|f?(t)|2dt)12?baf2(x)dx≤12(b?a)2?b

3、a|f?(x)|2dx.7(15D)nbH?H?oT?D`H?T?H?H?C`H?H??Xhg?C?u?nds=??D(?2u?x2?2u?y2)dxdy.8(15D)?T?Γ:x2a2y2b2=1`H?H?H?H??T?H`i?i_iDH?ibL?S?H?J=?Γ(b2x22xya2y2)dsgJ=S2Lπ2[9(15D)?H?H_HD?10dx1x3`HaXh?Y?T?ZH?H?KH?iUiK?∞n=1(?1)n?13n?2`H?[

4、10(15D??E?T?x=acos3ty=asin3t(a0)?H￠H?y=x￡HH?H?H`?T?H`HH?i_[15.(18W)?=?enα1α2αs(s2)hbieb^α1α2α2α3αs?1αsαsα1hjil#jig6.(18W)XwY#j?jjk?mx2ay2z22bxy2xz2yz=4#wll#????xyz???=P???x?y?z????Zl#j#jklmy?24z?2=4._ab`jfl?llp#qP.7.(16W

5、)rl[#jlf(x)=x?Ax?ux?sx`jl^As33[lllpqjll?jjklm?A3?6A211A?6I=0.l?l?maxAmax?x?=1f(x).?u?x?2=x21x22x23y?j?lllfslllw?k?m`?z[?l?p?qA_g8.(16W)A∈R20062006s`q(?t]pAp=0Ap?1?=0)Wl#hjilklm#nAx=0(x∈R2006)llll?]`lj?f??#?lf?g9.(16W)rfs