成人高考數(shù)學(xué)試題及答案1.函數(shù)\(y=2x+3\)的定義域是（）A.\(R\)B.\((0,+\infty)\)C.\([0,+\infty)\)D.\((-\infty,0)\)答案：A2.不等式\(x-2>0\)的解集是（）A.\(x>2\)B.\(x<2\)C.\(x\geq2\)D.\(x\leq2\)答案：A3.已知向量\(\vec{a}=(1,2)\)，\(\vec=(3,4)\)，則\(\vec{a}+\vec=\)（）A.\((4,6)\)B.\((2,2)\)C.\((-2,-2)\)D.\((-4,-6)\)答案：A4.函數(shù)\(y=\sinx\)的最小正周期是（）A.\(2\pi\)B.\(\pi\)C.\(\frac{\pi}{2}\)D.\(4\pi\)答案：A5.拋物線\(y=x^2\)的焦點(diǎn)坐標(biāo)是（）A.\((0,\frac{1}{4})\)B.\((0,-\frac{1}{4})\)C.\((\frac{1}{4},0)\)D.\((-\frac{1}{4},0)\)答案：A6.若\(a>b\)，則下列不等式成立的是（）A.\(a^2>b^2\)B.\(\frac{1}{a}<\frac{1}\)C.\(a+c>b+c\)D.\(ac>bc\)答案：C7.已知數(shù)列\(zhòng)(\{an\}\)的通項(xiàng)公式為\(an=2n-1\)，則\(a5=\)（）A.9B.11C.13D.15答案：A8.直線\(2x-y+3=0\)的斜率是（）A.2B.-2C.\(\frac{1}{2}\)D.\(-\frac{1}{2}\)答案：A9.函數(shù)\(y=\log2x\)在區(qū)間\([1,4]\)上的最大值是（）A.0B.1C.2D.3答案：C10.已知圓的方程為\((x-1)^2+(y+2)^2=4\)，則圓心坐標(biāo)是（）A.\((1,-2)\)B.\((-1,2)\)C.\((1,2)\)D.\((-1,-2)\)答案：A11.若\(\sin\alpha=\frac{3}{5}\)，且\(\alpha\)是第二象限角，則\(\cos\alpha=\)（）A.\(\frac{4}{5}\)B.\(-\frac{4}{5}\)C.\(\frac{3}{4}\)D.\(-\frac{3}{4}\)答案：B12.雙曲線\(\frac{x^2}{9}-\frac{y^2}{16}=1\)的漸近線方程是（）A.\(y=\pm\frac{4}{3}x\)B.\(y=\pm\frac{3}{4}x\)C.\(y=\pm\frac{9}{16}x\)D.\(y=\pm\frac{16}{9}x\)答案：A13.已知函數(shù)\(f(x)=x^3-3x\)，則\(f^\prime(1)=\)（）A.0B.1C.2D.3答案：A14.若\(\tan\alpha=2\)，則\(\frac{\sin\alpha+\cos\alpha}{\sin\alpha-\cos\alpha}=\)（）A.3B.-3C.\(\frac{1}{3}\)D.\(-\frac{1}{3}\)答案：A15.設(shè)集合\(A=\{1,2,3\}\)，\(B=\{2,3,4\}\)，則\(A\capB=\)（）A.\(\{1,2,3,4\}\)B.\(\{2,3\}\)C.\(\{1,4\}\)D.\(\varnothing\)答案：B16.已知\(a=\log23\)，\(b=\log34\)，則\(a\)與\(b\)的大小關(guān)系是（）A.\(a>b\)B.\(a<b\)C.\(a=b\)D.無法確定答案：A17.函數(shù)\(y=\sqrt{x-1}\)的定義域是（）A.\([1,+\infty)\)B.\((1,+\infty)\)C.\([0,+\infty)\)D.\((0,+\infty)\)答案：A18.已知等差數(shù)列\(zhòng)(\{an\}\)的前\(n\)項(xiàng)和為\(Sn\)，若\(a1=1\)，\(a3=5\)，則\(S5=\)（）A.15B.20C.25D.30答案：C19.在\(\triangleABC\)中，\(A=60^{\circ}\)，\(a=\sqrt{3}\)，\(b=1\)，則\(B=\)（）A.\(30^{\circ}\)B.\(60^{\circ}\)C.\(120^{\circ}\)D.\(150^{\circ}\)答案：A20.已知函數(shù)\(y=f(x)\)是奇函數(shù)，且\(f(1)=2\)，則\(f(-1)=\)（）A.2B.-2C.1D.-1答案：B1.下列函數(shù)中，是偶函數(shù)的有（）A.\(y=x^2\)B.\(y=\cosx\)C.\(y=\sinx\)D.\(y=2^x\)答案：AB2.下列不等式中，正確的有（）A.\(x^2+2x+3>0\)B.\(x^2-2x+3<0\)C.\(x^2+2x+3\geq0\)D.\(x^2-2x+3\geq0\)答案：ACD3.已知向量\(\vec{a}=(1,2)\)，\(\vec=(2,3)\)，則（）A.\(\vec{a}\cdot\vec=8\)B.\(\vec{a}\cdot\vec=7\)C.\(2\vec{a}-\vec=(0,1)\)D.\(2\vec{a}-\vec=(1,1)\)答案：BC4.下列函數(shù)中，在區(qū)間\((0,+\infty)\)上單調(diào)遞增的有（）A.\(y=x^2\)B.\(y=\log2x\)C.\(y=2^x\)D.\(y=\frac{1}{x}\)答案：ABC5.已知圓的方程為\(x^2+y^2=4\)，則（）A.圓心坐標(biāo)為\((0,0)\)B.半徑為\(2\)C.該圓過點(diǎn)\((1,1)\)D.該圓過點(diǎn)\((2,2)\)答案：ABC6.若\(\sin\alpha=\frac{1}{2}\)，則\(\alpha\)可能的值為（）A.\(30^{\circ}\)B.\(150^{\circ}\)C.\(210^{\circ}\)D.\(330^{\circ}\)答案：AB7.已知雙曲線\(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)，則（）A.實(shí)半軸長為\(a\)B.虛半軸長為\(b\)C.焦距為\(2c\)（\(c^2=a^2+b^2\)）D.離心率\(e=\frac{c}{a}\)答案：ABCD8.下列數(shù)列中，是等比數(shù)列的有（）A.\(1,2,4,8,\cdots\)B.\(1,-1,1,-1,\cdots\)C.\(1,2,3,4,\cdots\)D.\(2,4,6,8,\cdots\)答案：AB9.已知函數(shù)\(y=f(x)\)滿足\(f(x+1)=f(x)\)，則\(f(x)\)是（）A.周期函數(shù)B.非周期函數(shù)C.周期為\(1\)的函數(shù)D.周期為\(2\)的函數(shù)答案：AC10.在\(\triangleABC\)中，根據(jù)正弦定理\(\frac{a}{\sinA}=\frac{\sinB}=\frac{c}{\sinC}\)，則（）A.\(a=b\sinA\div\sinB\)B.\(b=a\sinB\div\sinA\)C.\(c=a\sinC\div\sinA\)D.\(a=c\sinA\div\sinC\)答案：ABCD1.函數(shù)\(y=x^3\)是偶函數(shù)。（）答案：×2.不等式\(x^2-1<0\)的解集是\((-1,1)\)。（）答案：√3.向量\(\vec{a}=(0,1)\)與向量\(\vec=(1,0)\)垂直。（）答案：√4.函數(shù)\(y=\cosx\)的最大值是\(1\)。（）答案：√5.拋物線\(y=-x^2\)的開口向上。（）答案：×6.若\(a>b\)，\(c>0\)，則\(ac>bc\)。（）答案：√7.數(shù)列\(zhòng)(1,-1,1,-1,\cdots\)是等差數(shù)列。（）答案：×8.直線\(x+y=0\)的斜率是\(1\)。（）答案：×9.函數(shù)\(y=\lnx\)的定義域是\((0,+\infty)\)。（）答案：√10.在\(\triangleABC\)中，\(A+B+C=180^{\circ}\)。（）答案：√1.函數(shù)\(y=3x-5\)的零點(diǎn)是。答案：\(\frac{5}{3}\)2.不等式\(2x-3<5\)的解集是。答案：\(x<4\)3.已知向量\(\vec{a}=(2,3)\)，\(\vec=(x,-6)\)，若\(\vec{a}\parallel\vec\)，則\(x=\)。答案：\(-4\)4.函數(shù)\(y=\sin