2022 年驻马店幼儿师范高等专科学校单招试题示例

2022年驻马店幼儿师范高等专科学校单招试题示例一、文化素质测试（数学）（一）选择题（每题2分，共60分）已知集合\(A=\{1,2,3\}\)，\(B=\{2,3,4\}\)，则\(A\capB\)等于（）A.\(\{2,3\}\)B.\(\{1,2,3,4\}\)C.\(\{2\}\)D.\(\{3\}\)函数\(y=\sqrt{x-1}\)的定义域是（）A.\(x\geq1\)B.\(x>1\)C.\(x\leq1\)D.\(x<1\)等差数列\(\{a_n\}\)中，\(a_1=2\)，\(a_3=6\)，则公差\(d\)为（）A.\(1\)B.\(2\)C.\(3\)D.\(4\)已知向量\(\overrightarrow{a}=(1,2)\)，\(\overrightarrow{b}=(3,-1)\)，则\(\overrightarrow{a}\cdot\overrightarrow{b}\)的值为（）A.\(1\)B.\(-1\)C.\(5\)D.\(-5\)若\(\sin\alpha=\frac{3}{5}\)，且\(\alpha\)是第二象限角，则\(\cos\alpha\)的值为（）A.\(\frac{4}{5}\)B.\(-\frac{4}{5}\)C.\(\frac{3}{4}\)D.\(-\frac{3}{4}\)不等式\(x^2-3x+2<0\)的解集是（）A.\(\{x|1<x<2\}\)B.\(\{x|x<1或x>2\}\)C.\(\{x|-1<x<-2\}\)D.\(\{x|x<-1或x>-2\}\)直线\(y=2x+1\)的斜率为（）A.\(1\)B.\(2\)C.\(-1\)D.\(-2\)圆\((x-1)^2+(y+2)^2=9\)的圆心坐标和半径分别为（）A.\((1,-2)\)，\(3\)B.\((-1,2)\)，\(3\)C.\((1,-2)\)，\(9\)D.\((-1,2)\)，\(9\)已知函数\(f(x)=x^2+2x+1\)，则\(f(2)\)的值为（）A.\(9\)B.\(8\)C.\(7\)D.\(6\)等比数列\(\{a_n\}\)中，\(a_1=1\)，\(a_2=2\)，则公比\(q\)为（）A.\(1\)B.\(2\)C.\(3\)D.\(4\)已知\(\log_2x=3\)，则\(x\)的值为（）A.\(6\)B.\(8\)C.\(9\)D.\(10\)函数\(y=\sin(x+\frac{\pi}{2})\)的图象是将函数\(y=\sinx\)的图象（）A.向左平移\(\frac{\pi}{2}\)个单位B.向右平移\(\frac{\pi}{2}\)个单位C.向上平移\(\frac{\pi}{2}\)个单位D.向下平移\(\frac{\pi}{2}\)个单位已知\(a>b>0\)，则下列不等式成立的是（）A.\(a^2<b^2\)B.\(\frac{1}{a}>\frac{1}{b}\)C.\(a^3>b^3\)D.\(ac^2>bc^2\)（\(c\neq0\)）若直线\(l\)过点\((1,2)\)且与直线\(2x-y+1=0\)平行，则直线\(l\)的方程为（）A.\(2x-y=0\)B.\(2x-y-1=0\)C.\(2x-y+2=0\)D.\(2x-y-4=0\)已知函数\(y=f(x)\)的图象关于原点对称，且\(f(-2)=3\)，则\(f(2)\)的值为（）A.\(3\)B.\(-3\)C.\(0\)D.无法确定已知\(x\)，\(y\)满足约束条件\(\begin{cases}x+y\geq1\\x-y\leq1\\y\geq0\end{cases}\)，则\(z=2x+y\)的最小值为（）A.\(1\)B.\(2\)C.\(3\)D.\(4\)已知双曲线\(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)（\(a>0\)，\(b>0\)）的渐近线方程为\(y=\pm\frac{3}{4}x\)，则该双曲线的离心率为（）A.\(\frac{5}{4}\)B.\(\frac{5}{3}\)C.\(\frac{4}{3}\)D.\(\frac{4}{5}\)已知函数\(f(x)=\begin{cases}x+1,x\leq0\\2^x,x>0\end{cases}\)，则\(f(f(-1))\)的值为（）A.\(1\)B.\(2\)C.\(3\)D.\(4\)已知\(\triangleABC\)中，\(A=60^{\circ}\)，\(AB=2\)，\(AC=3\)，则\(\triangleABC\)的面积为（）A.\(\frac{3\sqrt{3}}{2}\)B.\(\frac{3}{2}\)C.\(\sqrt{3}\)D.\(3\sqrt{3}\)已知数列\(\{a_n\}\)的前\(n\)项和\(S_n=n^2\)，则\(a_5\)的值为（）A.\(9\)B.\(11\)C.\(13\)D.\(15\)已知向量\(\overrightarrow{a}=(2,-3)\)，\(\overrightarrow{b}=(x,6)\)，且\(\overrightarrow{a}\parallel\overrightarrow{b}\)，则\(x\)的值为（）A.\(-4\)B.\(4\)C.\(-9\)D.\(9\)已知函数\(y=\cos2x\)的图象，将其横坐标伸长为原来的\(2\)倍，纵坐标不变，得到的函数图象的解析式为（）A.\(y=\cosx\)B.\(y=\cos4x\)C.\(y=\cos(x+\frac{\pi}{2})\)D.\(y=\cos(x-\frac{\pi}{2})\)已知\(a\)，\(b\)为实数，且\(a+b=5\)，则\(2^a+2^b\)的最小值为（）A.\(16\)B.\(8\sqrt{2}\)C.\(4\sqrt{2}\)D.\(8\)已知直线\(l\)与圆\(x^2+y^2=4\)相切，且直线\(l\)在\(x\)轴，\(y\)轴上的截距相等，则直线\(l\)的方程为（）A.\(x+y\pm2\sqrt{2}=0\)B.\(x-y\pm2\sqrt{2}=0\)C.\(x+y\pm2=0\)D.\(x-y\pm2=0\)已知函数\(f(x)\)是定义在\(R\)上的奇函数，当\(x\geq0\)时，\(f(x)=x^2-2x\)，则当\(x<0\)时，\(f(x)\)的解析式为（）A.\(f(x)=-x^2-2x\)B.\(f(x)=-x^2+2x\)C.\(f(x)=x^2+2x\)D.\(f(x)=x^2-2x\)已知抛物线\(y^2=2px\)（\(p>0\)）的焦点为\(F\)，点\(A(2,y_0)\)在抛物线上，且\(|AF|=3\)，则\(p\)的值为（）A.\(1\)B.\(2\)C.\(4\)D.\(8\)已知函数\(f(x)=x^3-3x^2+2\)，则\(f(x)\)的单调递减区间为（）A.\((0,2)\)B.\((-\infty,0)\)，\((2,+\infty)\)C.\((-\infty,0)\)D.\((2,+\infty)\)已知数列\(\{a_n\}\)满足\(a_{n+1}=2a_n+1\)，\(a_1=1\)，则\(a_5\)的值为（）A.\(31\)B.\(32\)C.\(33\)D.\(34\)已知\(\sin\alpha+\cos\alpha=\frac{1}{5}\)，且\(0<\alpha<\pi\)，则\(\tan\alpha\)的值为（）A.\(-\frac{4}{3}\)B.\(-\frac{3}{4}\)C.\(\frac{4}{3}\)D.\(\frac{3}{4}\)已知函数\(f(x)\)满足\(f(x+2)=f(x)\)，且当\(x\in[0,2]\)时，\(f(x)=x^2-x\)，则\(f(-1)\)的值为（）A.\(0\)B.\(1\)C.\(2\)D.\(3\)（二）判断题（每题3分，共30分）空集是任何集合的子集。（）若直线\(l_1\)：\(A_1x+B_1y+C_1=0\)与直线\(l_2\)：\(A_2x+B_2y+C_2=0\)平行，则\(\frac{A_1}{A_2}=\frac{B_1}{B_2}\neq\frac{C_1}{C_2}\)。（）函数\(y=\frac{1}{x}\)在其定义域内是单调递减函数。（）若\(\overrightarrow{a}\cdot\overrightarrow{b}=0\)，则\(\overrightarrow{a}=\overrightarrow{0}\)或\(\overrightarrow{b}=\overrightarrow{0}\)。（）数列\(1\)，\(2\)，\(3\)，\(4\)，\(5\)，\(\cdots\)是等差数列。（）已知\(\sin\alpha=\frac{1}{2}\)，则\(\alpha=30^{\circ}\)。（）圆的标准方程为\((x-a)^2+(y-b)^2=r^2\)，其圆心坐标为\((a,b)\)，半径为\(r\)。（）若函数\(y=f(x)\)是偶函数，则\(f(x)=f(-x)\)。（）已知函数\(f(x)=x^3\)，则\(f^\prime(x)=3x^2\)。（）若\(a>b\)，\(c>d\)，则\(a-c>b-d\)。（）二、文化素质测试（英语）（一）单选题（每题3分，共60分）—Whatdoyouusuallydoonweekends?—Ioftenplay______basketballwithmyfriends.A.aB.anC.theD./There______abookandtwopensonthedesk.A.isB.areC.hasD.have—Howlonghaveyou______thebook?—Fortwoweeks.A.borrowedB.lentC.keptD.boughtSheis______thanhersister.A.tallB.tallerC.tallestD.thetallest—______isyourfather?—Heisadoctor.A.WhatB.WhoC.WhereD.HowThelittlegirlwasso______thatshecouldn'tsayaword.A.excitingB.excitedC.interestingD.interestedWe______TVwhenthetelephonerang.A.watchedB.werewatchingC.watchD.arewatching—CanyouspeakEnglish?—Yes,butonly______.A.littleB.alittleC.fewD.afew—______doyougotothelibrary?—Onceaweek.A.HowlongB.HowoftenC.HowsoonD.HowfarIfit______tomorrow,wewillgoforapicnic.A.won'trainB.doesn'trainC.isn'trainingD.didn'trainThestudents______treesifitisfinetomorrow.A.plantB.plantedC.willplantD.haveplanted—______isthepopulationofyourcity?—Abouttwomillion.A.HowmanyB.HowmuchC.WhatD.WhichThestoryhappened______acoldwintermorning.A.inB.onC.atD.forHeaskedme______Icouldhelphimwithhismath.A.thatB.ifC.whatD.whichThisisthehouse______Ilivedtwoyearsago.A.whichB.whereC.thatD.whenTheboy______ablueshirtismybrother.A.inB.onC.atD.withShe______toBeijingseveraltimes.A.hasbeenB.hasgoneC.wentD.goesThemovieisso______thatmanypeoplelikeit.A.boringB.boredC.interestingD.interested—______isthewaytothenearesthospital?—Gostraightandturnleftatthesecondcrossing.A.WhereB.WhichC.HowD.What—I'msorryI'mlate.—______.A.You'rewelcomeB.That'srightC.Itdoesn'tmatterD.Allright（二）阅读理解（共40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。Passage1InmanyEnglishfamilies,peopleeatfourmealsaday:breakfast,lunch,teaanddinner.Peoplehavebreakfastatanytimefromseventonineinthemorning.Theyeatporridge,eggsorbread.Englishpeopledrinkteaorcoffeeatbreakfast.Lunchcomesatoneo'clock.Afternoonteaisfromfourtofiveintheafternoonanddinnerisabouthalfpastseven.Firsttheyhavesoup,thentheyhavem