高中数学联赛模拟试题10套2

ABCDMNA1D1B1C116361()3,12yAxyax⎧⎫−==+⎨⎬−⎩⎭()()(){}2,1115Bxyaxay=−+−=AB=∅∩aA11B112C12D14521ABCDA1B1C1D1MNAB1BC1AMBNAA1MNA1C1MNMNA1B1C1D1MNA1C14A1B2C3D4Snan[)0,19nlimnnnaS→∞A34B54C74D9441A216B252C324D4325x()2fxaxbxc=++abbaabc−++A13B12C3D2622221xyab−=F1A1A2PPF1A1A2ABCD954112iz=+()121i22i1zzz+=+−ABC3ABC2cos2icos2CuA=+2uz+_____2P(a,b)PlxyABPA2PB2l_____3ABCarccos(sinA)arccos(sinB)arccos(sinC)_____4ABCDMPADCDNQBCDABCMNPQ_____521(2)nx++x_____6ABCABC{1,2,3,,n}(A,B,C)_____20p0pCpy22pxlCpApMxMApCpApBpBp20d(d0){an}m1a1md20λab()222ababλ+()322aabb++OBCADNM2502OABCABDACCMBCAMCDNMBCONBC50()2abcnabc++=abcZ+n50()()2121nn−×−n2111D2B3D4D5A6B125[,)222aba−33(,)22ππ4118521312n++67nmax274λ=1,2,3,4,5,6,8,911