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dropsgreatly.HerearethreethingsyoushouldknowaboutMajorSnow.①ThesnowinNorthernChinamaylastawholeday,breakingthetreesandblocking(theroads.Peoplecanseethebeautifulnaturalsceneof"iceblockadingforhundredsofmilesandsnowflyingthroughthousandsofmiles".Inthesouth,snowfallsandtheworldturnswhite.Thereisasayingaboutthesnow,"Atimelysnowpromisesagoodharvest(瑞雪兆丰年).”Asthesnowcoverstheground,pests(害虫)willbekilledbythelowtemperature.②Peopleusuallylosethemselvesinthebeautyofwintersweet(duringMajorSnow.Wintersweetusuallyblossoms(inmid-to-lateDecemberinsomesoutherncitiesofChina.WintersweetcomesfromChinaandisgreatlyadmiredbypeople.Togetherwithpincandbambao,itisregardedasoneoftheThreeFriendsofWinter.③曼Hotporridgecanhelpwarmyourbodyandmakeyourbodyhealthyincoldweather.InChina,it'sacustomtoeatredbean(porridgeonthefirstdayofMajorSnow.海58.Whatdoestheunderlinedword"it"inParagraph3referto?A.Thecoldwinter.B.Thebamboo.C.Theroad.D.Thewintersweet.惑59,Whichisthereasonwhypeopleeatredbeanporridgeon.thefirstdayofMajorSnow?*A.Itisdelicious.B.It'sasymbolofgoodluck.长C.Itcanmaketheirbodywarmandhealthy.D.It'sawishforagoodharvesi.60.Matchthetitle(标题)witheachparagraph.还a.Eatingporridgeb.Havingabigmealwithfamilyc.Snowywinterd.Admiringwintersweete.MakingsnowinenA.①-e,②-d,③-cB.①c,②-d,③-aC.①e,②-a,③-dD.①-c,②b,③-a61.WhichofthefollowingisTRUEaccordingtothepassage?A.MajorSnowlastsabouthalfamonththisyear.B.MajorSnowisinNovemberthisyear.瓶C.MajorSnowisthelastsolartermofayear.D.MajorSnowismorepopularinNorthernChinathaninSouthernChina62.Whichofthefollowingbestshowsthestructureofthepassage?猫0Emperorpenguins.(arethelargestpenguinsonEarth.Formanymonthseachyear,emperorpenguinsliveneartheseainlarge.groupscalledcolonies()However,inMay,theweathergetscolderandicecoverslargeareasofocean.Eachcolonymovesmanykilometers.awayfromthewater.There,eachmotherpenguinlaysjustoneegg.Thenallthehungrymothersmustwalkbacktotheoceantolookforfood.【江西省2023届九年级第一次阶段适应性评估·英语第5页（共8页）】【R一PGZXA一JX】扫描全能王创建
分析（1）利用列举法确定基本事件，即可求函数y=f（x）在区间[1，+∞）上是增函数的概率；
（2）方程$\frac{{x}^{2}}{{a}^{2}}$+$\frac{{y}^{2}}{{b}^{2}}$=1表示焦点在x轴上且离心率小于$\frac{\sqrt{3}}{2}$的椭圆，故$\left\{\begin{array}{l}{{a}^{2}＞{b}^{2}}\\{\frac{\sqrt{{a}^{2}-{b}^{2}}}{a}＜\frac{\sqrt{3}}{2}}\end{array}\right.$，化简得$\left\{\begin{array}{l}{a＞b}\\{a＜2b}\end{array}\right.$，又a∈[1，5]，b∈[2，4]，画出满足不等式组的平面区域，利用面积比，即可求方程$\frac{{x}^{2}}{{a}^{2}}$+$\frac{{y}^{2}}{{b}^{2}}$=1表示焦点在x轴上且离心率小于$\frac{\sqrt{3}}{2}$的椭圆的概率．
解答解：（1）∵函数f（x）=ax2-4bx+1的图象的对称轴为直线x=$\frac{2b}{a}$，要使f（x）=ax2-4bx+1在区间[1，+∞）上为增函数，当且仅当a＞0且$\frac{2b}{a}$≤1，即2b≤a．…（2分）
若a=1，则b=-1；
若a=2，则b=-1或1；
若a=3，则b=-1或1．
∴事件包含基本事件的个数是1+2+2=5．…（4分）
而满足条件的数对（a，b）共有3×5=15个
∴所求事件的概率为$\frac{5}{15}$=$\frac{1}{3}$．…（6分）
（2）方程$\frac{{x}^{2}}{{a}^{2}}$+$\frac{{y}^{2}}{{b}^{2}}$=1表示焦点在x轴上且离心率小于$\frac{\sqrt{3}}{2}$的椭圆，故$\left\{\begin{array}{l}{{a}^{2}＞{b}^{2}}\\{\frac{\sqrt{{a}^{2}-{b}^{2}}}{a}＜\frac{\sqrt{3}}{2}}\end{array}\right.$…（8分）
化简得$\left\{\begin{array}{l}{a＞b}\\{a＜2b}\end{array}\right.$
又a∈[1，5]，b∈[2，4]，画出满足不等式组的平面区域，如图阴影部分所示，
…（10分）
阴影部分的面积为$\frac{15}{4}$，故所求的概率P=$\frac{15}{32}$．…（12分）
点评本题考查概率的计算，考查学生的计算能力，区分两种类型是关键．
