四川省泸州市泸县泸县第五中学2023-2024学年高二上学期期中数学无答案

四川省泸州市泸县泸县第五中学20232024学年高二上学期期中数学试卷一、选择题（每题5分，共20分）1.若复数$z=a+bi$（其中$a,b$为实数），且$|z|=1$，则$z$的取值范围是（）。A.$a^2+b^2=1$B.$a^2+b^2>1$C.$a^2+b^2<1$D.$a^2+b^2\neq1$2.设集合$A=\{x|x^25x+6=0\}$，集合$B=\{2,3,5\}$，则$A\capB$等于（）。A.$\{2\}$B.$\{3\}$C.$\{2,3\}$D.$\{2,3,5\}$3.函数$f(x)=\ln(x^21)$的定义域是（）。A.$(\infty,1)\cup(1,+\infty)$B.$(1,1)$C.$(\infty,1)\cup(1,+\infty)$D.$(\infty,0)\cup(0,+\infty)$4.已知等差数列$\{a_n\}$的前$n$项和为$S_n=3n^2+2n$，则$a_4$等于（）。A.14B.16C.18D.20二、填空题（每题5分，共20分）1.已知函数$f(x)=2x^23x+1$，则$f(1)+f(2)=\underline{\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\一、选择题答案：1.B2.A3.C4.B二、填空题答案：1.82.53.14.0三、解答题答案：1.（1）由题意得，an3n22n，所以a1S1S2S1=322321=3，所以d=a2a1=S2S1S1=3222×321=3，所以an=a1+(n1)d=3+3(n1)=3n。所以an=3n。（2）由（1）知，an=3n，所以Sn=n(a1+an)/2=n(3+3n)/2=3n(n+1)/2。所以Sn=3n(n+1)/2。2.（1）由题意得，f(x)=2x23x+1，所以f'(x)=4x3。令f'(x)=0，得x=3/4。当x<3/4时，f'(x)<0；当x>3/4时，f'(x)>0。所以f(x)在x=3/4处取得极小值，即最小值。所以f(x)的最小值为f(3/4)=2(3/4)23(3/4)+1=1/8。（2）由题意得，f(x)=2x23x+1，所以f(x)=2(x)23(x)+1=2x2+3x+1。所以f(x)+f(x)=2x23x+1+2x2+3x+1=4x2+2。所以f(x)+f(x)=4x2+2。1.复数：掌握复数的定义、性质和运算规则。2.集合：理解集合的概念、运算和性质。3.函数：了解函数的定义、性质、图像和运算。4.数列：熟悉等差数列和等比数列的定义、性质和运算。5.导数：理解导数的概念、性质和应