高中数学联赛模拟试题10套4

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6361()22axfxxaa−=+−A1a00a1Ba1a1Ca0Da02A(2,1)B(3,2)C(1,3)lykxABClAAlBBlCClCABCl3ABCD-A1B1C1D1A1llACBC160lA4B3C2D14100200Cn=A61B67C83D975a()132yfxxax==+−A3B4C7D8611224435799410121416517192123251245791214161712003A3844B3943C3945D40069541RtABCABCz12z1(z1)2A|z|2M{m|zmRmN+}P{x|x12mmM}P_____2f(x)|sinx|sin42x|cosx|_____3x()()222222224704547xaxaaxaaxaa++−+−++−−+−4a_____440%M60%NM19%24%N29%34%MN10%15%_____5(a,b)arcsinxarccosyax2by21x2y223arcsinb_____6aRαβtan(αβ)_____20ABCabcabciabciiabciiiac100(a,b,c)20D-ABCADaBDbABCDcDABBACDAC180DBAABCDBC180ADBC20ax2bxc01max{a,b,c}49(abc)2min{a,b,c}14(abc)50ABCEACABCDCDBCCAPQPQABC50x01x13xn+16xnxn-1nN+{xn}50200212320021C2CD3B4A5C6B117223[1,3]410%5,,6443ππππ⎡⎞⎛⎤⎟⎜⎢⎥⎣⎠⎝⎦∪6433Ra−(100,100,100)(100,110,121)(100,120,144)(100,130,169)(100,140,196)(100,150,225)(100,160,256)(49,70,100)(64,80,100)(81,90,100)(100,100,100)222arccosbca−1abctb49tb49t2a14ta14txn()()13223222nn⎡⎤++−⎢⎥⎣⎦yn()()132232222nn⎡⎤+−−⎢⎥⎣⎦2221nnxy−=x42y2143

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