山东省淄博市2023-2024学年高三上学期摸底质量检测数学试题

{#{QQABSYaEggiIAAAAABgCQQUKCgMQkACCAKoOBEAEsAAAgBNABCA=}#}{#{QQABSYaEggiIAAAAABgCQQUKCgMQkACCAKoOBEAEsAAAgBNABCA=}#}{#{QQABSYaEggiIAAAAABgCQQUKCgMQkACCAKoOBEAEsAAAgBNABCA=}#}{#{QQABSYaEggiIAAAAABgCQQUKCgMQkACCAKoOBEAEsAAAgBNABCA=}#}{#{QQABSYaEggiIAAAAABgCQQUKCgMQkACCAKoOBEAEsAAAgBNABCA=}#}{#{QQABSYaEggiIAAAAABgCQQUKCgMQkACCAKoOBEAEsAAAgBNABCA=}#}淄博市2024学年度高三摸底考试数学参考答案85．455204513.;;．43;．2.6f(x)62f(x)3162223322分f()06w，kZw6k2分k63⼜0w3w2分得f(x)，g(x).分3x，，442x，分33当x3xg(x)43.分2第1,,,，ABQ为分⼜N,故分⼜⾯,⾯分AB//分OP分⼜⾯,⾯分PQ⾯则P3),M(3,B(3,(3,分，(3,3),(3,3),(23,n(,y,z)，x2y3z0则n23x2y0,令x1则y3,z1n3,分所成⻆为，23|.分|n|||565105分abAaB，ABAABsin(B)，分，0BA22，分A2ABAB2A.分B2A且0，0A2，0B2，C2第20，02，0（)，分AAAB22223AA，分6422则bB2A2sinAA2A(2,3)aAAA即ba(2,3).分aA，CbB，C11AB1A2A1A2sinAA

SC22C23A22AA2AAAAAA122AA2AA3cosAAA223A分31AA分64333设在fxx(383（，.A2A331S（，）分82a和bd1,dnn212d11dd1111,a,b2nnn14d1d1dd22212Cba11Cb2a,b2a分11121122Cba,ba,ba3112233Ccnn1分n当n320b1knabnabbnaank1kkk1kk1kbkNknakCbbbn分,,1n1122n111111）3C2Cn2n1n1n2nn分第3Sn111111112334n1n22n2分，14mmm442222m2分xf(x)ex1xax2001分g(x)f(x)ex12g(x)eag(x)(0,)令在xgxga故()(0)12，2分1在a12a0g(x)0f(x)(0,)2fxff(x)(0,)f(x)f(0)0⽽()(0)0在4分1ag(0)12a0gaaaa，2e2a)22)2102xagx0200,5分xxg(x)0f(x)xxx在000fxff(x)()(0)0xf(x)f(0)0在06分1a的取值范围为,．7分2ex)x1xexx)ex21Fx()108分x2x)x12lnxxxx2xx1xe111由，9分F(x)eexxx2331Gxxxxx()2ln1'x)x2)0，分令xGx)G(x)G0F(x)0F(x)()在在)F(x)F0exx)ex2分第4A3321P)2分(A5555ii2i1i1回31ppp，4分1ii1i155故21pp，ii15512221故pppi2ii1i13553，6分⼜12pp，7分011331故ip32325.8分pii1122335，故pii1122.9分335iXiXiXi1”等价于“第iPXp.i