高中数学联赛模拟试题10套10

6361M={−2,0,1}N={1,2,3,4,5}fMNxMx+f(x)+xf(x)fA45B27C15D112sin2θ=acos2θ=b0θ4πtan4πθ⎛⎞+⎜⎟⎝⎠1ba−1ab−1ba+1ab+11abab−++−ABCD323590A64B66C68D7041,3,4,9,10,12,13,33100A729B972C243D981515941CCCCmnnnn+++++14nm−⎡⎤=⎢⎥⎣⎦[x]xA2cos4nnπB2sin4nnπC1122cos24nnnπ−⎛⎞+⎜⎟⎝⎠D1122sin24nnnπ−⎛⎞+⎜⎟⎝⎠6abcdeabccde1243013531A8568B2142C2139D1134954122132xy+=PPHHPHQHQ=λPHλ1PQ__________2ab60Pabα0α90llf(α)=__________3()22429112xxx+−+__________4z|z−i|=1z0z2iω2i2izzωω−⋅−ω−2__________5a1,a2,,a200212200211112222aaa+++=+++a1a2a2002__________68128837874808892348756958288nn__________20{an}212nSn1SnSn+12ck1kkScSc+−−220ab60EF|EF|=2AB4ABabABP20R+f(x)iabR+f(ab)=f(a)+f(b)iix1f(x)0iiif(3)=−1ABA={(pq)|f(p2+1)−f(5q)−20pqR+}B={(pq)|f(pq)+12=0pqR+}pqAB≠∅∩50AMANOMNLMNMNAMNMLNLQP23OPOQSSπ=POQ=6050a1=20a2=30an+2=3an+1−ann1n1+5anan+150M(p2002,7p2002)p1M2QPAOMNL1A2C3B4D5D6B13,13⎡⎞⎟⎢⎟⎣⎠2()0,0301,302,30603,604,090fαααααα°°⎧⎪=°⎪⎪=°°⎨⎪=°⎪°°⎪⎩3145,00,28⎡⎞⎛⎞−⎟⎜⎟⎢⎣⎠⎝⎠∪44arctan,3ππ⎡⎞−⎟⎢⎣⎠540022002611110814229763nn++⎛⎞+−⎜⎟⎝⎠11122nnSS+=+22219xy+=n=3p2,7,11,13324p=2162p=7,11,13180