绵阳中学自主招生模拟试题
四川省绵阳中学2025届高三模拟预测数学试题(一)
四川省绵阳中学2025届高考适应性月考卷（一）数学注意事项：1.答题前，考生务必用黑色碳素笔将自己的姓名、准考证号、考场号、座位号在答题卡上填写清楚.2.每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其他答案标号.在试题卷上作答无效.3.考试结束后，请将本试卷和答题卡一并交回.满分150分，考试用时120分钟.一、单项选择题（本大题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项是符合题目要求的）1.已知集合{}3log 2A x x =<，{B y y ==，则()R A B =ð（）A.(0,9)B.[9,)+∞ C.{0}[9,)+∞ D.[0,9)2.若正实数a ，b 满足24a b ab +=-，则ab 的最小值为（）A.1B.2C.4D.83.已知1334a -⎛⎫= ⎪⎝⎭，lg 4b =，3log 2c =，则（）A.a b c>> B.a c b>> C.c a b>> D.c b a>>4.已知α为锐角，且π2cos 43α⎛⎫+⎪⎝⎭，则cos 2α=（）A.9B.9-C.9或9- D.19或19-5.已知2cos ()()x xf xg x +=的部分图象如图，则()g x 可能的解析式为（）A.()22x xg x -=+ B.()22x xg x -=- C.2()g x x= D.()ln g x x=6.321()813f x x ax ax =--+在(3,0)-上有极大值，无极小值，则a 的取值范围是（）A.90,2⎛⎫ ⎪⎝⎭B.()0,+∞C.(),3-∞- D.93,2⎛⎫- ⎪⎝⎭7.已知数列{}n a 是公比为q 的等比数列，前n 项和为n S ，且6220S S =≠，则下列说法正确的是（）A.2152q -+=B.{}n a 为递增数列C.{}n a 为递减数列D.42352S S =8.已知函数(1)y f x =+与()y g x =的定义域均为R ，且它们的图象关于1x =对称，若奇函数()g x 满足()(2)g x g x =-，下列关于函数()f x 的性质说法不正确的有（）A.()f x 关于2x =对称B.()f x 关于点(4,0)对称C.()f x 的周期4T = D.(2027)0f =二、多项选择题（本大题共3小题，每小题6分，共18分.在每小题给出的四个选项中，有多个选项是符合题目要求的，全部选对的得6分，部分选对的得部分分，有选错的得0分）9.某类汽车在今年1至5月的销量y （单位：千辆）如下表所示（其中2月份销量未知）：月份x 12345月销量y2.4m455.5若变量y 与x 之间存在线性相关关系，用最小二乘法估计建立的经验回归方程为ˆ0.85 1.45yx =+，则下列说法正确的是（）A. 3.1m = B.残差绝对值最大为0.2C.样本相关系数0r <D.当解释变量x 每增加1，响应变量y 增加0.8510.函数()f x 满足x ∀，y ∈R ，有()()()f xy yf x xf y =+，下列说法正确的有（）A.(0)0f =B.(1)0f =C.()f x 为奇函数D.记()()f x g x x=，则()g x 在(0,)+∞上单调递减11.对于数列{}n a ，定义：1n n n a a a +∆=-，21n n n a a a +∆=∆-∆，*n ∈N ，则下列说法正确的是（）A.若n a n =，则2n a ∆=B.若2n a n =，则1n na a +∆>∆C.若3n a n =，数列{}n b 的前n 项和为n a ∆，则6n b n=D.若(2)2n n a n ∆=+⋅，12a =，则22n n na a a ∆=+∆三、填空题（本大题共3小题，每小题5分，共15分）12.已知函数π()3sin(2)()2f x x ϕϕ=+<的图象关于点π(,0)6对称，则()f x 在ππ,122⎡⎤⎢⎥⎣⎦上的最小值为________.13.已知数列{}n a 满足134n n a a +=+，且10a =，则n a =________.14.cos 2()sin xf x x =，则()f x 在ππ,44f ⎛⎫⎛⎫ ⎪ ⎪⎝⎭⎝⎭处的切线方程为________.四、解答题（共77分.解答应写出文字说明，证明过程或演算步骤）15.（本小题满分13分）为了了解某校学生每天课后自主学习数学的时间（x 分钟/每天）和他们的数学成绩（y 分）的关系，学校数学组老师进行了一些调研，得到以下数据.学习时间x 2030405060数学成绩y59728297110（1）已知y 与x 之间的关系可用线性回归模型进行拟合，并求出y 关于x 的回归直线方程，并由此预测每天课后自主学习数学时间为85分钟时的数学成绩（结果精确到整数）；（参考数据：118070niii x y==∑，219000ni i x ==∑）（2）由于新高考改革，对于同学们自主学习提出了更高的要求，所以某校提倡学生周日下午学生返校自习，实施一段时间后，抽样调查了200位学生.按照是否参与周日自习以及成绩是否有进步，统计得到22⨯列联表.依据表中数据及小概率值0.001α=的独立性检验，分析“周日自习与成绩进步”是否有关（结果精确到0.01）.没有进步有进步合计参与周日自习30130160未参与周日自习202040合计50150200附：回归方程ˆˆˆybx a =+中斜率和截距的最小二乘估计公式分别为()()()121ˆniii nii x x y y b x x ==--=-∑∑，ˆˆay bx =-，22()()()()()n ad bc a b c d a c b d χ-=++++.α0.100.050.0100.0050.001x α2.7063.8416.6357.87910.82816.（本小题满分15分）已知()ln f x x a x =+.（1）讨论()f x 的单调性；（2）若()f x 的零点个数大于2，求a 的取值范围.17.（本小题满分15分）在锐角ABC △中，角A ，B ，C 所对的边分别为a ，b ，c ，22b c ab =-.（1）求证：2C B =；（2）2b =，求a 的取值范围.18.（本小题满分17分）有2(4)n n ≥个正数，排成n 行n 列的数表：其中ij a 表示位于第i 行，第j 列的数，数表中每一行的数成等差数列，每一列的数成等比数列，并且所有列公比相等，已知141a =，333a =，355a =.1112131412122232423132333434142434441234n n n n n n n n nn a a a a a a a a a a a a a a a a a a a a a a a a a ⋯⎛⎫⎪⋯ ⎪ ⎪⋯ ⎪⋯ ⎪ ⎪⋯⋯⋯⋯⋯⋯ ⎪⎪⋯⎝⎭（1）求in a ；（2）若n 为偶数，求224466nn a a a a ++++.19.（本小题满分17分）已知函数()(1)ln(1)(2)f x x x k x =----.（1）当1k =时，求证：()0f x ≥；（2）求证：()1111*234enn n +++≤∈N ；（3）记集合22eln e 10e kx k x A x x kx k +⋅=--⋅-⎭≥⎧⎫⎨⎬⎩+，若集合A 的子集至少有4个，求k的取值范围.四川省绵阳中学2025届高考适应性月考卷（一）数学参考答案一、单项选择题（本大题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项符合题目要求）题号12345678答案CCBBDAAB【解析】1.{09}A x x =<<，{0}B y y =≥，()R {0}[9,)A B ∴=+∞ð，故选C.2.a b +≥24ab ∴-≥20ab ∴-≥，1≤-（舍）2≥，4ab ∴≥，当且仅当2a b ==时取“=”，min ()4ab ∴=，故选C.3.0314a ⎛⎫>= ⎪⎝⎭，lg101b <=，3log 31c <=，又32lg 22lg 22lg 3lg 9lg101lg 2log 2lg 3b c ====<=，b c ∴<，a c b ∴>>，故选B.4.2(cos sin )23αα-=-，14(1sin 2)29α∴-=，1sin 29α∴=，cos 2α∴=9=±.又π02α<<，ππ3π444α∴<+<.又π2cos 432α⎛⎫⎛⎫+=-∈- ⎪ ⎪ ⎪⎝⎭⎝⎭，π2∴<π3π44α+<，ππ42α∴<<，π2π2α∴<<，45cos 29α∴=-，故选B.5.由图象对称性：()f x 为偶函数，又2cos y x x =+为偶函数，则()g x 为偶函数，排除B ；从定义域看，排除A ；当2()g x x =时，0x →，()f x →+∞，排除C ，故选D.6.2()28f x x ax a '=--在(3,0)-上有下穿变号零点，无上穿变号零点，(3)0,(0)0f f '->⎧∴⇒⎨'<⎩902a <<，故选A.7.6220S S =≠，1q ∴≠±，2S ∴，42S S -，64S S -是公比为2q 的等比数列，()242S S ∴-=()264S S S -，即：2242420S S S S -⋅-=，()244220S S S S ∴--=，()22222220S S q S q S ∴+⋅⋅-=，422222220q S q S S ∴⋅+⋅-=，4210q q ∴+-=，212q -±∴=，212q -+∴=，故A 对；q={}n a ∴不为单调数列，故B ，C 错；又2421512S q S +=+=，故D错，故选A.8.(1)y f x =+与()y g x =关于1x =对称()(3)g x f x ⇒=-①，()g x 为奇函数()()0g x g x ⇒-+=②，又()(2)g x g x =-③，由①②③消去()g x ，得到：(3)(3)0f x f x -++=④()f x ⇒关于点(3,0)对称，(3)(1)f x f x -=+⑤()f x ⇒关于2x =对称，()y f x ∴=，4()T f x =⇒的对称轴有2x k =，k ∈Z ，所以A ，C 正确；对称中心为(32,0)k +，k ∈Z ，所以B 错误；(2027)(3)0f f =⇒，所以D 正确，故选B.二、多项选择题（本大题共3小题，每小题6分，共18分.在每小题给出的四个选项中，有6分，部分选对的得部分分，有选错的得0分）题号91011答案ABABCABD【解析】9.由题意知：ˆ0.85 1.45yx =+，又3x =，则4y =， 3.1m ∴=，故A 对；各月份对应残差为0.1，0.05-，0，0.15，0.2-.∴残差绝对值最大为0.2，故B 对；变量y 与x 呈正线性相关，则0r >，故C 错；当解释变量x 增加1，响应变量y 不一定增加0.85，故D 错，故选AB.10.令0(0)0x y f ==⇒=；令1(1)2(1)(1)0x y f f f ==⇒=⇒=；令1(1)x y f ==-⇒=2(1)(1)0f f --⇒-=，令1()()(1)()()()y f x f x xf f x f x f x =-⇒-=-+-⇒-=-⇒为奇函数.由()()()f xy f x f y xy x y =+，可得()()()g xy g x g y =+，()g x 可用对数函数换底，如：()ln f x x x =，当0x >时，可利用导数求得()f x 在10,e ⎛⎫ ⎪⎝⎭上单调递减，在1,e ⎛⎫+∞ ⎪⎝⎭上单调递增，故选ABC.11.A.111n n n a a a n n +∆=-=+-=，21110n n n a a a +∴∆=∆-∆=-=；B.22(1)21n a n n n ∆=+-=+，123n a n +∴∆=+，1n n a a +∆>∆；C.332(1)331n a n n n n ∆=+-=++，117b a ∴=∆=，又 2n ≥时，16n n n b a a n -=∆-∆=，7,1,6, 2.n n b n n =⎧∴=⎨≥⎩D .1(2)2n n n n a a a n +=∆=-+⋅，12132a a ∴-=⋅，23242a a -=⋅，…，11(1)2n n n a a n ---=+⋅，2n ≥，12113242(1)2n n a a n -∴-=⋅+⋅+++⋅，()2112322(1)2n n n a a n n -∴-=⋅++⋅++⋅，()()2212112123222(1)26(1)262412n n n nn n a a n n --⋅-∴--=⋅+++-+⋅=+-+⋅=+---(1)2n n +⋅，122n n a a n ∴-+=-⋅+，2n n a n ∴=⋅，2n ≥.又1n =时也成立，2n n a n ∴=⋅，*n ∈N .又211(3)2(2)2(4)2n n n n n n a a a n n n ++∆=Λ-∆=+⋅-+⋅=+⋅，22(4)2(24)22(2)22n n n n n n n a a n n n n a ∴+∆=⋅++⋅=+⋅=⋅+⋅=∆，综上，故选ABD.三、填空题（本大题共3小题，每小题5分，共15分）【解析】12.π2π6k ϕ⨯+=，k ∈Z ，ππ3k ϕ∴=-+，k ∈Z ，π3ϕ∴=-，π()3sin 23f x x ⎛⎫∴=- ⎪⎝⎭，ππ,122x ⎡⎤⎢⎥⎣∈⎦∴，时，ππ2π2,363x ⎡⎤⎢⎣-∈⎦-，min 3()2f x ∴=-.13.设()13n n a r a r ++=+，解得：2r =，所以()1232n n a a ++=+.又10a =，则122a +=，故{}2n a +是以2为首项，3为公比的等比数列，所以1223n n a -+=⋅，故1232n n a -=⋅-.14.22sin 2sin cos cos 2π()(sin )4x x x x f x f x --⎛⎫''=⇒=- ⎪⎝⎭又π04f ⎛⎫= ⎪⎝⎭，∴在ππ,44f ⎛⎫⎛⎫ ⎪ ⎪⎝⎭⎝⎭处的切线方程为：π04y x ⎫-=--⎪⎭，即2π2y =-+.四、解答题（本大题共5小题，共77分.解答应写出文字说明，证明过程或演算步骤）15.（本小题满分13分）解：（1）由表计算可得40x =，84y =，所以1211807054084ˆ 1.27900054040niii nii x ynxybxnx ==--⨯⨯===-⨯⨯-∑∑，所以ˆˆ84 1.274033.2ay bx =-=-⨯=，故ˆ 1.2733.2yx =+.当85x =时，ˆ141y ≈，由此预测每天课后自主学习数学时间为85分钟时的数学成绩为141分.（2）22200(130203020)16.6710.8285015016040χ⨯⨯-⨯=≈>⨯⨯⨯，所以小概率值0.001α=的独立性检验，周日自习与成绩进步有关.16.（本小题满分15分）解：（1）定义域为{0}x x ≠，又()()()f x f x f x -=⇒为偶函数，由对称性只需研究()(0)y f x x =>的单调性及零点个数即可.当0x >时：11()ln ()ax f x x ax f x a x x+'=+⇒=+=.讨论：（i ）当0a ≥时，()0()f x f x '>⇒在(0,)+∞上単调递增.又()f x 为偶函数，在(,0)-∞上单调递减0a ⇒≥时：()f x 在(0,)+∞上单调递增，在(,0)-∞上单调递减.（ii ）当0a <时，11()00,f x x x a a ⎛⎫'=⇒=-⇒∈- ⎪⎝⎭，()0f x '>，1,x a ⎛⎫∈-+∞ ⎪⎝⎭，()0()f x f x '<⇒在10,a ⎛⎫- ⎪⎝⎭上单调递增，在1,a ⎛⎫-+∞ ⎪⎝⎭上单调递减.又由()f x 为偶函数()f x ⇒在1,0a ⎛⎫⎪⎝⎭上单调递减，在1,a ⎛⎫-∞ ⎪⎝⎭上单调递增⇒当0a <时，()f x 在10,a ⎛⎫- ⎪⎝⎭和1,a ⎛⎫-∞ ⎪⎝⎭上单调递增，在1,a ⎛⎫-+∞ ⎪⎝⎭和1,0a ⎛⎫⎪⎝⎭上单调递减.（2）由（1）知()f x 为偶函数⇒当0x >时：()f x 的零点个数大于1个，由（1）知：必有0a <，此时：()f x 在10,a ⎛⎫-⎪⎝⎭上单调递增，1,a ⎛⎫-+∞ ⎪⎝⎭上单调递减⇒又0x →时，()0f x <，x →+∞时，()0f x <，1100e f a a ⎛⎫∴->⇒-<< ⎪⎝⎭.17.（本小题满分15分）（1）2222cos b a c ac B =+-⋅，2cos c B a b ∴⋅=+，2sin cos sin sin C B A B ∴=+，2sin cos sin()sin C B B C B∴=++sin()sin C B B ∴-=，C B B ∴-=，πC B B -+=（舍），2.C B ∴=（2）sin sin a b A B =，2sin(π2)sin a B B B ∴=--，2sin 32(sin cos 2cos sin 2)sin sin B B B B B a B B+∴==，222cos 24cos 8cos 2a B B B ∴=+=-.又π0,2πππ02,,264π0π22B C B B A B B ⎧<<⎪⎪⎪<=<⇒<<⎨⎪⎪<=--<⎪⎩cos ,22B ⎛⎫∴∈ ⎪ ⎪⎝⎭，213cos ,24B ⎛⎫∴∈ ⎪⎝⎭，24a ∴<<.18.（本小题满分17分）解：（1）每一行成等差数列，344a ∴=，即：第3行公差为1，3n a n ∴=.设每列公比为q ，又141a =，344a =，24q ∴=，2q ∴=，32i in a n -∴=⋅（2）由（1）知：32n nn a n -=⋅，设224466n nn S a a a a =++++，11332242622n n S n --∴=⋅+⋅+⋅++⋅，024*********n n n S -∴=⋅+⋅+⋅++⋅①，2462412223212222n n n n n S -⎛⎫=⋅+⋅+⋅++-⋅+⋅ ⎪⎝⎭②，由①-②得：024231212121222n n n n S --=⋅+⋅+⋅++⋅-⋅2142142nn n -=-⋅-()121232n n n =--⋅112323n n ⎛⎫=-⋅- ⎪⎝⎭，1322918n n n S -∴=+⋅，2244661322918n nn n a a a a -∴++++=+⋅.19.（本小题满分17分）（1）证明：当1k =时，()(1)ln(1)(2)(1)f x x x x x =---->2(1)ln(1)1x x x x -⎡⎤=---⎢⎥-⎣⎦，∴要证()0f x ≥，只需证：2()ln(1)0(1)1x g x x x x -=--≥>-即可.令1x t -=⇒上式等价于证1()ln 10(0)h t t t t =-+≥>，21()()t h t h t t-'=⇒在(0,1)上单调递减，在(1,)+∞上单调递增()(1)0h t h ⇒≥=，证毕.（2）要证：11123e n n +++≤等价于证：11123ln eln n n +++≤，由（1）知：1ln 1(0)t t t ≥->，令()1n t n n *=∈-Z 1ln 1n n n ⇒≥-，分别令2,3,4,,n n =再相加231111ln ln ln 121234n n n ⇒+++≥++++-1111ln 234n n ⇒≥++++.（3）解：A 中元素不止一个，说明至少存在2个0x >，使得22e ln e 10ekx k xx kx k +⋅--⋅-+≥成立.22ln 22e e e ln e 1ln e 1e e xk k kx k x x kx k x kx k +⋅+⋅--⋅-+=--⋅-+，即：22ln e ln e e10x k k x kx k --⋅--⋅-+≥.令2ln e e 10t x kx k t t --⋅=⇒-+≥.由（1）1ln 1t t ≥-，令ln 1ee 1x x t x x x --=⇒≥-⇒≥-，令e 1t x t t -=⇒≥+恒成立，现在又有e 1e 1t t t t ≤+⇒=+时，0t =，A ∴中元素不止一个说明：2ln e 0x kx k --⋅=的解不止一个.令211()ln e ()(0)kx T x x kx k T x k x x x-'=--⋅⇒=-=>.讨论：①当0k ≤时：()0()T x T x '>⇒在(0,)+∞上単调递增，此时()T x 的零点最多一个，舍去；②当0k >时，令1()0()T x x T x k '=⇒=⇒在10,k ⎛⎫ ⎪⎝⎭上单调递增，在1,k ⎛⎫+∞ ⎪⎝⎭上单调递减.又注意到：x →+∞时，()0T x <，当0x →时：()0T x <，要()T x 的零点不止一个，令2()ln 1e M k k k =++⋅；易知()M k 在(0,)+∞上单调递增，又212110e M ⎛⎫=-++=⇒⎪⎝⎭当210e k <<时，有()0M k <⇒此时A 中元素不止一个210e k ⇒<<.。
【2020-2021自招】四川绵阳中学实验学校初升高自主招生数学模拟试卷【4套】【含解析】
第一套：满分150分2020-2021年四川绵阳中学实验学校初升高自主招生数学模拟卷一．选择题（共8小题，满分48分）1．（6分）如图，△ABC中，D、E是BC边上的点，BD：DE：EC=3：2：1，M在AC边上，CM：MA=1：2，BM交AD，AE于H，G，则BH：HG：GM=（）A．3：2：1 B．5：3：1C．25：12：5 D．51：24：102.（6分）若关于x的一元二次方程（x－2）（x－3）=m有实数根x1,x2，且x1≠x2，有下列结论：①x1=2，x2=3；②1> ；m4③二次函数y=（x－x1）（x－x2）＋m的图象与x轴交点的坐标为（2，0）和（3，0）．其中，正确结论的个数是【】A.0B.1C.2D.33.（6分）已知长方形的面积为20cm2，设该长方形一边长为ycm，另一边的长为xcm，则y与x之间的函数图象大致是（）A. B. C. D.4.（6分）如图，在平面直角坐标系中，⊙O 的半径为1，则直线y x 2=-与⊙O 的位置关系是（ ）A ．相离B ．相切C ．相交D ．以上三种情况都有可能 5．（6分）若一直角三角形的斜边长为c ，内切圆半径是r ，则内切圆的面积与三角形面积之比是（ ）A ．B ．C ．D ．6．（6分）如图，Rt △ABC 中，BC=，∠ACB=90°，∠A=30°，D 1是斜边AB 的中点，过D 1作D 1E 1⊥AC 于E 1，连结BE 1交CD 1于D 2；过D 2作D 2E 2⊥AC 于E 2，连结BE 2交CD 1于D 3；过D 3作D 3E 3⊥AC 于E 3，…，如此继续，可以依次得到点E 4、E 5、…、E 2013，分别记△BCE 1、△BCE 2、△BCE 3、…、△BCE 2013的面积为S 1、S 2、S 3、…、S 2013．则S 2013的大小为（ ） A.31003 B.320136 C.310073 D.67147．（6分）抛物线y=ax 2与直线x=1，x=2，y=1，y=2围成的正方形有公共点，则实数a 的取值范围是（ ）A ．≤a ≤1B ．≤a ≤2C ．≤a ≤1D ．≤a ≤28．（6分）如图，矩形ABCD 的面积为5，它的两条对角线交于点O 1，以AB ，AO 1为两邻边作平行四边形ABC 1O 1，平行四边形ABC 1O 1的对角线交BD 于点02，同样以AB ，AO 2为两邻边作平行四边形ABC 2O 2．…，依此类推，则平行四边形ABC 2009O 2009的面积为（ ）A.n 25 B.n 22 C.n 31 D.n 23二．填空题：（每题7分，满分42分）9．（7分）方程组的解是 ．10．（7分）若对任意实数x 不等式ax ＞b 都成立，那么a ，b 的取值范围为 ．11．（7分）如图，圆锥的母线长是3，底面半径是1，A 是底面圆周上一点，从A 点出发绕侧面一周，再回到A 点的最短的路线长是 ．12．（7分）有一张矩形纸片ABCD ，AD=9，AB=12，将纸片折叠使A 、C 两点重合，那么折痕长是 ．13．（7分）设﹣1≤x ≤2，则|x ﹣2|﹣|x|+|x+2|的最大值与最小值之差为 ．14．（7分）两个反比例函数y=，y=在第一象限内的图象如图所示．点P 1，P 2，P 3、…、P 2007在反比例函数y=上，它们的横坐标分别为x 1、x 2、x 3、…、x 2007，纵坐标分别是1，3，5…共2007个连续奇数，过P 1，P 2，P 3、…、P 2007分别作y 轴的平行线，与y=的图象交点依次为Q 1（x 1′，y 1′）、Q 1（x 2′，y 2′）、…、Q 2（x 2007′，y 2007′），则|P 2007Q 2007|= ．三．解答题：（每天12分，满分60分）15.(12分).已知正实数,,x y z 满足：1xy yz zx ++≠ ,且222222(1)(1)(1)(1)(1)(1)4x y y z z x xy yz zx------++= .(1) 求111xy yz zx++的值. (2) 证明:9()()()8()x y y z z x xyz xy yz zx +++≥++.16．（12分）如图，ABC △是等腰直角三角形，CA CB =，点N 在线段AB 上（与A 、B 不重合），点M 在射线BA 上，且45NCM ∠=︒。
【考试必备】2018-2019年最新四川省绵阳中学初升高自主招生考试英语模拟精品试卷【含解析】【4套试卷】
2018-2019年最新四川省绵阳中学自主招生考试英语模拟精品试卷（第一套）考试时间：120分钟总分：150分第I卷（选择题，共100分）第一节：单项填空（共25小题，每小题1分，满分25分）1. —When did the terrible earthquake in YaNan happen?—It happened ________ the morning of April 20, 2013.A. onB. atC. inD. /2. Our teacher told us ________ too much noise in class.A. to makeB. makeC. not to makeD. not make3. Here is your hat. Don’t forget______ when you __________.A. to put it on, leaveB. to wear it, leaveC. to wear it, will leaveD. putting it on, will leave4. The baby is sleeping. You _____ make so much noise.A. won’tB. mustn’tC. may notD. needn’t5. Since you are _____ trouble, why not ask _________ help?A. in, forB. in, toC. with, forD. with, to6. It’s about___________kilometers from Nanchong to Chengdu.A. two hundredsB. two hundreds ofC. two hundredD. two hundred of7. It is six years since my dear uncle ________China.A. leftB. has leftC. is leftD. had left8. —How long _______ you _______ the bicycle?—About two weeks.A. have, hadB. have, boughtC. did, buyD. have, have9. The Yellow River is not so ________ as the Yangtze River.A. longerB. longC. longestD. a long10. Mrs.Green usually goes shopping with ________ umbrella in ________ summer.A. a；theB. an； /C. the； aD. /；/11. At first, I was not too sure if he could answer the question. However, ____,he worked it out at last with the help of his friend.A. to my angerB. to my surpriseC. in other wordsD. ina word12. —Must I stay here with you?—No, you ______.You may go home, but you _____ go to the net bar (网吧).A. mustn't; needn'tB. needn't; mustn'tC. must; needD. need; must13. I ______ the newspaper while my mother _____TV plays yesterday evening.A. was reading; was watchingB. was reading; watchedC. read; was watchingD. read; would watch14. It's a rule in my class that our classroom ________ before 6：00 p. m.every day.A. be able to cleanB. should be cleaningC. must cleanD. must be cleaned15. —Tom wants to know if you ________ a picnic next Sunday.—Yes. But if it ________， we'll visit the museum instead.A. will have; will rainB. have; rainsC. have; will rainD. will have; rains16.—Would you mind looking after my dog while I'm on holiday?—________.A. Of course notB. Yes. I'd be happy toC. Not at all. I've no timeD. Yes, please17. Many students didn’t realize the importance of study _______they left school.A. whenB. untilC. afterD. unless18. My father _______ to Shanghai. He _______ for over 2 months.A. has been, has leftB. has gone, has goneC. has gone, has been awayD. has been, has gone19. They are your skirts. Please __________.A. put it awayB. put out itC. put them awayD. put them out20. —Please read every sentence carefully. you are, mistakes you’ll make.—Thank you for your advice.A. The more carefully; the fewerB. The more careful; the lessC. The more carefully; the lessD. The more careful; the fewer21. My friend is coming today but he didn’t tell me _______.A. when did the train arriveB. how did the train arriveC. when the train arrivedD. how the train arrived22. I felt it hard to keep up with my classmate s. But whenever I wantto _______, my teacher always encourages me to work harder.A. go onB. give upC. run awayD. give back23. —________ fine weather it is today!—Let's go for a picnic.A. WhatB. HowC. What aD. How a24. — Mary, you’re going to buy an apartment here, aren’t you?—Yes, but I can’t_______an expensive one.A. spendB. costC. payD. afford25. —Would you like to drink coffee or milk?—_________. Please give me some tea.A. NeitherB. BothC. EitherD. None第二节：完形填空（共20小题，每小题1分，满分20分）(A)Big schoolbags have been a serious problem for students for a long time.Maybe your schoolbag is too __26__ to carry, and it troubles you a lot __27__ you want to find a book out to read. Now an etextbook will __28__ you.It is said that etextbooks are going to be __29__ in Chinese middle schools.An etextbook, in fact, is a small __30__ for students.It is much __31__ than a usual schoolbag and easy to carry. Though it is as small as a book, it can __32__ all the materials (材料) for study.The students can read the text page by page on the __33__， take notes with the pointer (屏写笔). Or even “__34__” their homework to their teachers by sending emails. All they have to do is to press a button.Some people say etextbooks are good, but some say they may be __35__ for the students' eyes. What do you think of it?26.A.light B. heavy C. useful D. comfortable27.A.till B. after C. before D. when28.A.trouble B. prevent C. help D. understanded B. kept C. invented D. lent B. radio C. pen D. computer31.A.heavier B. lighter C. cheaper D. brighter32.A.hold B. build C. discover D. practice33.A.blackboard B. desk C. screen D. card34.A.find out B. hand in C. get back D. give back35.A.helpful B. famous C. good D. bad(B)Food is very important. Everyone needs to _36_ _well if he/she wants to have a strong body. Our minds also need a kind of food. This kind of food is__ 37 __.We begin to get a knowledge even when we are very young. Small children are __38__ in everything around them. They learn __39 __while they are watching and listening. When they are getting older, they begin to ___ 40__ story books, science books…anything they like. When they find something new, they have to ask questions and__41___ to find out the answers.What is the best ___42___to get knowledge? If we learn___43___ourselves, we will get the most knowledge, If we are__44___getting answers from others and don’t ask why, we will never learn more and understand___45_.36. A. sleep B. read C. drink D. eat37. A. sport B. exercise C. knowledge D. meat38. A. interested B. interesting C. weak D. meat39. A. everybody B. something C. nothing D. anything40. A. lend B. write C. think D. read41. A. try B. wait C. think D. need42. A. place B. school C. way D. road43. A. in B. always C. to D. by44. A. seldom B. always C. certainly D. sometimes45.A.harder B. much C. well D. better第三节：阅读理解（共25小题，每小题2分，满分50分）AFamous Museums_______ .A. BeijingB. LondonC. New YorkD. The USA47. New York Museum is America’s largest museum on American__________.A. areaB. historyC. collectionsD. buildings48. The Palace Museum. Which is in the center of Beijing, is also called“Forbidden City(紫禁城)” in China. It lies in __________.A.Chang’an StreetB. New Oxford StreetC. BerlingD. Chestnut Street49. According to the form, if you want to see ancient Chinese collections,you can visit ____ at most.A. one museumB. two museumsC. three museumsD. four museums50. Which of the following is TRUE according to the information above?A. Each ticket for the Palace Museum costs the same in the whole year.B. You don’t have to pay for tickets if you visit New York Museum on Monday.C. British Museum lies in Chestnut street, London.D. New York Museum is the largest in the world.BIn recent years, more and more people like to keep pets such as a dog, a cat, a monkey and other animals. But usually people would accept tame(温顺的) and loyal(忠诚的) animals as pets rather than dangerous ones such as a lion，a tiger or a snake.People love pets and take good care of them. The owners usually regard pets as good friends and some even consider them as members of the family. Although they are not human beings(人类), their behavior sometimes is better than human beings, for they are always loyal to their owners. There are always many stories about brave and smart pets. We often hear that a pet dog saved the owner's life or traveled thousands of miles to return home. Such stories often make pets more lovely.Some pets can also be trained to help people with some special work. For example, trained dogs can help the blind to walk and trained dogs and pigs can even help police to find where drugs are easily.But pets are sometimes trouble-makers. Some pets like dogs or snakes may hurt people without any warning. Some people may become ill after being hurt because of the virus carried by the pets. If they are not taken good care of, they will become very dirty and easily get ill. So pets are helpful to us but keeping pets is not an easy job.51. What animals are thought to be dangerous as pets?A. Cats.B. Dogs.C. Snakes.D. Monkeys52. Which of the following statements is TRUE about pets?A. All the pets are considered as family members.B. Pets always behave better than human beings.C. Sometimes some pets can protect their owners.D. Pets like traveling far away from home.53. Why do people train pets according to the passage?A. To make them more clever.B. To make them more lovely.C. To find drugs for the blind.D. To do some special work.54. What can we learn from the last paragraph?A. Pets often hurt strange people.B. Pets can live well with the virus.C. Pets are dirty and dangerous.D. Pets should be looked after well.55. What is the best title for the passage?A. Training Pets.B. Keeping Pets.C. Cleaning Pets.D.Loving Pets.CFrom Feb. 8 to Mar. 1 is our winter holiday. I think everybody did a lot in the holiday. But it seems that I did nothing and it was my most unlucky holiday.I spent a lot of time on my homework. Every morning my mother woke me up early and I had breakfast in a hurry. Then I had to do my homework almost the whole day! I’m not a very slow person but the homework was too heavy!I was also unlucky when playing. During the Spring Festival, I played fireworks but my finger was hurt because I was careless to light the fireworks. I began to fear playing with fireworks from then.I was still unlucky on my friend’s party. On my friend’s birthday, unusually I woke up at 10:50 because my parents went to visit my grandmother early in the morning. The party would start in 10 minutes! So I hurried to my friend’s home without breakfast. I returned very late that day and when I got home, my parents were very angry with me.Another worrying thing was my weight. Last term, I was 46 kg but nowI am 51 kg! I have to consider losing weight!56. How long did the winter holiday last?A. two monthsB. one monthC. 4 weeksD. 22 days57. The writer got up early every day during the holiday because ______.A. he had to finish homeworkB. he had to have breakfastC. he was a very slow personD. his mother was in a hurry58. He hurt his finger because of ________.A. the Spring FestivalB. his carelessnessC. the light of fireworksD. his fear of playing59. Why were the writer’s parents angry with him?A. Because he got up too late.B. Because he missed breakfast.C. Because he was late for the party.D. Because he came back home too late.60. What did the writer want to tell us in the passage?A. He had an unlucky holiday.B. He had too much homework.C. His parents were very strict.D. He planned to lose weight.DSteven Jobs, the designer of Apple Computer, was not clever when he was in school.At that time, he was not a good student and he always made troubles with his schoolmates.When he went into college, he didn't change a lot.Then he dropped out.But he was full of new ideas.After he left college, Steven Jobs worked as a video game designer.He worked there for only several months and then he went to India.He hoped that the trip would give him some new ideas and give him a change in life.Steven Jobs lived on a farm in California for a year after he returned from India.In 1975, he began to make a new type of computer.He designed the Apple Computer with his friend in his garage.He chose the name “Apple” just because it could help him to remember a happy summer he once spent in an apple tree garden.His Apple Computer was such a great success that Steven Jobs soon became famous all over the world.61.Steven Jobs was not a good student in school because he ________.A. never did his lessonsB. was full of new ideasC. always made troubles with his schoolmatesD. dropped out62.Did Steven Jobs finish college?A. Yes, he did.B. No, he didn't.C. No, he didn't go into college.D. We don't know.63.Steven Jobs designed his new computer ______.A. in IndiaB. with his friendC. in a pear tree gardenD. by himself64.Steven Jobs is famous for his ________ all over the world.A. new ideasB. appleC. Apple ComputerD. video games65.From this passage we know ________.A. Steven Jobs didn't finish his studies in the college because he hatedhis schoolmatesB. Steven Jobs liked traveling in India and CaliforniaC. Steven Jobs liked trying new things and making new ideas become trueD. Steven Jobs could only design video gamesEIf you go into the forest with friends, stay with them. If you don't, you may get lost. If you get lost, this is what you should do. Sit down and stay where you are. Don't try to find your friends. Let them find you. You can help them find you by staying in one place. There is another way to help your friends or other people to find you. You can shout or whistle (吹口哨) three times. Stop. Then shout or whistle three times again. Any signal given three times is a call for help.Keep up shouting or whistling. Always three times together. When people hear you, they will know that you are not just making a noise for fun. They will let you know that they have heard your signal. They will give you two shouts or two whistles. When a signal is given twice, it is an answer to a call for help.If you don't think that you will get help before night comes, try to make a little house with branches .Make yourself a bed with leaves and grass.When you need some water, you have to leave your little branch house to look for it. Don't just walk away .Pick off small branches and drop them as you walk in order to go back again easily.66.If you get lost in the forest, you should ________.A. walk around the forest to find your friendsB. stay in one place and give signalsC. climb up a tree and wait for your friends quietlyD. shout as loudly as possible67.Which signal is a call for help?A. Shouting one time as loudly as you can.B. Crying twice.C. Shouting or whistling three times together.D. Whistling everywhere in the forest.68.When you hear two shouts or two whistles, you know that ________.A. someone finds something interestingB. people will come and help youC. someone needs helpD. something terrible will happen69.Before night comes, you should try to make a little house with ________.A. stoneB. earthC. leaves and grassD. branches70.Which of the following is the best title?A. Getting Water in the ForestB. Spending the Night in the ForestC. Surviving (生存) in the ForestD. Calling for Help in the Forest 第四节：补全对话，从方框内7个选项中选择恰当的5个句子完成此对话(共5分)John: Hi, Karl. You were not here, in your class yesterday afternoon. What was wrong?Karl: 71________John: Sorry to hear that.72Karl: Much better. The fever is gone. But I still cough and I feel weak. John: 73Karl: Yes, I have. I went to the doctor’s yesterday afternoon. The doctor gave me some medicine and asked me to stay in bed for a few days. John: 74Karl: Because I’m afraid I’ll miss more lessons and I’ll be left behind. John: Don’t worry. Take care of yourself. 75第Ⅱ卷（非选择题,共50分）一、根据句意及所给提示，补全单词或用单词、固定短语、固定搭配的正确形式填空(10分)76. Many athletes won gold medals in the Olympics, they are our national h_____.77. Tom didn’t finish _____________( write) his test because he ran out of the time.78. The girl is making a model doll ___________ (care).79. The boy felt __________(困倦的) in class because he stayed up late last night.80. So Terrible! The airplane ______________(起飞) five minutes ago.81.I don't think students should be （允许）to bring mobile phones to school.82.I find it useless to spend much time （解释）it to him.83. She prefers keeping silent to （争吵）with others.84. It is important for us to be （有信心的）of doing everything.85. The doctor operated on the patient （成功）yesterday.二、汉译英, 一空一词（共5小题，每小题2分，计10分）86. 他默默地在雨中行走，浑身上下都被淋湿。
【2020-2021自招】四川省绵阳南山中学初升高自主招生数学模拟试卷【4套】【含解析】
第一套：满分150分2020-2021年四川省绵阳南山中学初升高自主招生数学模拟卷一．选择题（共8小题，满分48分）1．（6分）如图，△ABC中，D、E是BC边上的点，BD：DE：EC=3：2：1，M在AC边上，CM：MA=1：2，BM交AD，AE于H，G，则BH：HG：GM=（）A．3：2：1 B．5：3：1C．25：12：5 D．51：24：102.（6分）若关于x的一元二次方程（x－2）（x－3）=m有实数根x1,x2，且x1≠x2，有下列结论：①x1=2，x2=3；②1> ；m4③二次函数y=（x－x1）（x－x2）＋m的图象与x轴交点的坐标为（2，0）和（3，0）．其中，正确结论的个数是【】A.0B.1C.2D.33.（6分）已知长方形的面积为20cm2，设该长方形一边长为ycm，另一边的长为xcm，则y与x之间的函数图象大致是（）A. B. C. D.4.（6分）如图，在平面直角坐标系中，⊙O 的半径为1，则直线y x 2=-与⊙O 的位置关系是（ ）A ．相离B ．相切C ．相交D ．以上三种情况都有可能 5．（6分）若一直角三角形的斜边长为c ，内切圆半径是r ，则内切圆的面积与三角形面积之比是（ ）A ．B ．C ．D ．6．（6分）如图，Rt △ABC 中，BC=，∠ACB=90°，∠A=30°，D 1是斜边AB 的中点，过D 1作D 1E 1⊥AC 于E 1，连结BE 1交CD 1于D 2；过D 2作D 2E 2⊥AC 于E 2，连结BE 2交CD 1于D 3；过D 3作D 3E 3⊥AC 于E 3，…，如此继续，可以依次得到点E 4、E 5、…、E 2013，分别记△BCE 1、△BCE 2、△BCE 3、…、△BCE 2013的面积为S 1、S 2、S 3、…、S 2013．则S 2013的大小为（ ） A.31003 B.320136 C.310073 D.67147．（6分）抛物线y=ax 2与直线x=1，x=2，y=1，y=2围成的正方形有公共点，则实数a 的取值范围是（ ）A ．≤a ≤1B ．≤a ≤2C ．≤a ≤1D ．≤a ≤28．（6分）如图，矩形ABCD 的面积为5，它的两条对角线交于点O 1，以AB ，AO 1为两邻边作平行四边形ABC 1O 1，平行四边形ABC 1O 1的对角线交BD 于点02，同样以AB ，AO 2为两邻边作平行四边形ABC 2O 2．…，依此类推，则平行四边形ABC 2009O 2009的面积为（ ）A.n 25 B.n 22 C.n 31 D.n 23二．填空题：（每题7分，满分42分）9．（7分）方程组的解是 ．10．（7分）若对任意实数x 不等式ax ＞b 都成立，那么a ，b 的取值范围为 ．11．（7分）如图，圆锥的母线长是3，底面半径是1，A 是底面圆周上一点，从A 点出发绕侧面一周，再回到A 点的最短的路线长是 ．12．（7分）有一张矩形纸片ABCD ，AD=9，AB=12，将纸片折叠使A 、C 两点重合，那么折痕长是 ．13．（7分）设﹣1≤x ≤2，则|x ﹣2|﹣|x|+|x+2|的最大值与最小值之差为 ．14．（7分）两个反比例函数y=，y=在第一象限内的图象如图所示．点P 1，P 2，P 3、…、P 2007在反比例函数y=上，它们的横坐标分别为x 1、x 2、x 3、…、x 2007，纵坐标分别是1，3，5…共2007个连续奇数，过P 1，P 2，P 3、…、P 2007分别作y 轴的平行线，与y=的图象交点依次为Q 1（x 1′，y 1′）、Q 1（x 2′，y 2′）、…、Q 2（x 2007′，y 2007′），则|P 2007Q 2007|= ．三．解答题：（每天12分，满分60分）15.(12分).已知正实数,,x y z 满足：1xy yz zx ++≠ ,且222222(1)(1)(1)(1)(1)(1)4x y y z z x xy yz zx------++= .(1) 求111xy yz zx++的值. (2) 证明:9()()()8()x y y z z x xyz xy yz zx +++≥++.16．（12分）如图，ABC △是等腰直角三角形，CA CB =，点N 在线段AB 上（与A 、B 不重合），点M 在射线BA 上，且45NCM ∠=︒。
【考试必备】2018-2019年最新绵阳中学自主招生考试英语模拟精品试卷【含解析】【4套试卷】
2018-2019年最新绵阳中学自主招生考试英语模拟精品试卷（第一套）考试时间：120分钟总分：150分第I卷（选择题，共100分）第一节：单项填空（共25小题，每小题1分，满分25分）1. —When did the terrible earthquake in YaNan happen?—It happened ________ the morning of April 20, 2013.A. onB. atC. inD. /2. Our teacher told us ________ too much noise in class.A. to makeB. makeC. not to makeD. not make3. Here is your hat. Don’t forget______ when you __________.A. to put it on, leaveB. to wear it, leaveC. to wear it, will leaveD. putting it on, will leave4. The baby is sleeping. You _____ make so much noise.A. won’tB. mustn’tC. may notD. needn’t5. Since you are _____ trouble, why not ask _________ help?A. in, forB. in, toC. with, forD. with, to6. It’s about___________kilometers from Nanchong to Chengdu.A. two hundredsB. two hundreds ofC. two hundredD. two hundred of7. It is six years since my dear uncle ________China.A. leftB. has leftC. is leftD. had left8. —How long _______ you _______ the bicycle?—About two weeks.A. have, hadB. have, boughtC. did, buyD. have, have9. The Yellow River is not so ________ as the Yangtze River.A. longerB. longC. longestD. a long10. Mrs.Green usually goes shopping with ________ umbrella in ________ summer.A. a；theB. an； /C. the； aD. /；/11. At first, I was not too sure if he could answer the question. However, ____,he worked it out at last with the help of his friend.A. to my angerB. to my surpriseC. in other wordsD. ina word12. —Must I stay here with you?—No, you ______.You may go home, but you _____ go to the net bar (网吧).A. mustn't; needn'tB. needn't; mustn'tC. must; needD. need; must13. I ______ the newspaper while my mother _____TV plays yesterday evening.A. was reading; was watchingB. was reading; watchedC. read; was watchingD. read; would watch14. It's a rule in my class that our classroom ________ before 6：00 p. m.every day.A. be able to cleanB. should be cleaningC. must cleanD. must be cleaned15. —Tom wants to know if you ________ a picnic next Sunday.—Yes. But if it ________， we'll visit the museum instead.A. will have; will rainB. have; rainsC. have; will rainD. will have; rains16.—Would you mind looking after my dog while I'm on holiday?—________.A. Of course notB. Yes. I'd be happy toC. Not at all. I've no timeD. Yes, please17. Many students didn’t realize the importance of study _______they left school.A. whenB. untilC. afterD. unless18. My father _______ to Shanghai. He _______ for over 2 months.A. has been, has leftB. has gone, has goneC. has gone, has been awayD. has been, has gone19. They are your skirts. Please __________.A. put it awayB. put out itC. put them awayD. put them out20. —Please read every sentence carefully. you are,mistakes you’llmake.—Thank you for your advice.A. The more carefully; the fewerB. The more careful; the lessC. The more carefully; the lessD. The more careful; the fewer21. My friend is coming today but he didn’t tell me _______.A. when did the train arriveB. how did the train arriveC. when the train arrivedD. how the train arrived22. I felt it hard to keep up with my classmate s. But whenever I wantto _______, my teacher always encourages me to work harder.A. go onB. give upC. run awayD. give back23. —________ fine weather it is today!—Let's go for a picnic.A. WhatB. HowC. What aD. How a24.— Mary, you’re going to buy an apartment here, aren’t you?—Yes, but I can’t_______an expensive one.A. spendB. costC. payD. afford25. —Would you like to drink coffee or milk?—_________. Please give me some tea.A. NeitherB. BothC. EitherD. None第二节：完形填空（共20小题，每小题1分，满分20分）(A)Big schoolbags have been a serious problem for students for a long time.Maybe your schoolbag is too __26__ to carry, and it troubles you a lot __27__ you want to find a book out to read. Now an etextbook will __28__ you.It is said that etextbooks are going to be __29__ in Chinese middle schools.An etextbook, in fact, is a small __30__ for students.It is much __31__ than a usual schoolbag and easy to carry. Though it is as small as a book, it can __32__ all the materials (材料) for study.The students can read the text page by page on the __33__， take notes with the pointer (屏写笔). Or even “__34__” their homework to their teachers by sending emails. All they have to do is to press a button.Some people say etextbooks are good, but some say they may be __35__ for the students' eyes. What do you think of it?26.A.light B. heavy C. useful D. comfortable27.A.till B. after C. before D. when28.A.trouble B. prevent C. help D. understanded B. kept C. invented D. lent B. radio C. pen D. computer31.A.heavier B. lighter C. cheaper D. brighter32.A.hold B. build C. discover D. practice33.A.blackboard B. desk C. screen D. card34.A.find out B. hand in C. get back D. give back35.A.helpful B. famous C. good D. bad(B)Food is very important. Everyone needs to _36_ _well if he/she wants to have a strong body. Our minds also need a kind of food. This kind of food is__ 37 __.We begin to get a knowledge even when we are very young. Small children are __38__ in everything around them. They learn __39 __while they are watching and listening. When they are getting older, they begin to ___ 40__ story books, science books…anything they like. When they find something new, they have to ask questions and__41___ to find out the answers.What is the best ___42___to get knowledge? If we learn___43___ourselves, we will get the most knowledge, If we are__44___getting answers from others and don’t ask why, we will never learn more and understand___45_.36. A. sleep B. read C. drink D. eat37. A. sport B. exercise C. knowledge D. meat38. A. interested B. interesting C. weak D. meat39. A. everybody B. something C. nothing D. anything40. A. lend B. write C. think D. read41. A. try B. wait C. think D. need42. A. place B. school C. way D. road43. A. in B. always C. to D. by44. A. seldom B. always C. certainly D. sometimes45.A.harder B. much C. well D. better第三节：阅读理解（共25小题，每小题2分，满分50分）AFamous Museums_______ .A. BeijingB. LondonC. New YorkD. The USA47. New York Museum is America’s largest museum on American__________.A. areaB. historyC. collectionsD. buildings48. The Palace Museum. Which is in the center of Beijing, is also called“Forbidden City(紫禁城)” in China. It lies in __________.A.Chang’an StreetB. New Oxford StreetC. BerlingD. Chestnut Street49. According to the form, if you want to see ancient Chinese collections,you can visit ____ at most.A. one museumB. two museumsC. three museumsD. four museums50. Which of the following is TRUE according to the information above?A. Each ticket for the Palace Museum costs the same in the whole year.B. You don’t have to pay for tickets if you visit New York Museum on Monday.C. British Museum lies in Chestnut street, London.D. New York Museum is the largest in the world.BIn recent years, more and more people like to keep pets such as a dog, a cat, a monkey and other animals. But usually people would accept tame(温顺的) and loyal(忠诚的) animals as pets rather than dangerous ones such as a lion，a tiger or a snake.People love pets and take good care of them. The owners usually regard pets as good friends and some even consider them as members of the family. Although they are not human beings(人类), their behavior sometimes is better than human beings, for they are always loyal to their owners. There are always many stories about brave and smart pets. We often hear that a pet dog saved the owner's life or traveled thousands of miles to return home. Such stories often make pets more lovely.Some pets can also be trained to help people with some special work. For example, trained dogs can help the blind to walk and trained dogs and pigs can even help police to find where drugs are easily.But pets are sometimes trouble-makers. Some pets like dogs or snakes may hurt people without any warning. Some people may become ill after being hurt because of the virus carried by the pets. If they are not taken good care of, they will become very dirty and easily get ill. So pets are helpful to us but keeping pets is not an easy job.51. What animals are thought to be dangerous as pets?A. Cats.B. Dogs.C. Snakes.D. Monkeys52. Which of the following statements is TRUE about pets?A. All the pets are considered as family members.B. Pets always behave better than human beings.C. Sometimes some pets can protect their owners.D. Pets like traveling far away from home.53. Why do people train pets according to the passage?A. To make them more clever.B. To make them more lovely.C. To find drugs for the blind.D. To do some special work.54. What can we learn from the last paragraph?A. Pets often hurt strange people.B. Pets can live well with the virus.C. Pets are dirty and dangerous.D. Pets should be looked after well.55. What is the best title for the passage?A. Training Pets.B. Keeping Pets.C. Cleaning Pets.D.Loving Pets.CFrom Feb. 8 to Mar. 1 is our winter holiday. I think everybody did a lot in the holiday. But it seems that I did nothing and it was my most unlucky holiday.I spent a lot of time on my homework. Every morning my mother woke me up early and I had breakfast in a hurry. Then I had to do my homework almost the whole day! I’m not a very slow person but the homework was too heavy!I was also unlucky when playing. During the Spring Festival, I played fireworks but my finger was hurt because I was careless to light the fireworks. I began to fear playing with fireworks from then.I was still unlucky on my friend’s party. On my friend’s birthday, unusually I woke up at 10:50 because my parents went to visit my grandmother early in the morning. The party would start in 10 minutes! So I hurried to my friend’s home without breakfast. I returned very late that day and when I got home, my parents were very angry with me.Another worrying thing was my weight. Last term, I was 46 kg but nowI am 51 kg! I have to consider losing weight!56. How long did the winter holiday last?A. two monthsB. one monthC. 4 weeksD. 22 days57. The writer got up early every day during the holiday because ______.A. he had to finish homeworkB. he had to have breakfastC. he was a very slow personD. his mother was in a hurry58. He hurt his finger because of ________.A. the Spring FestivalB. his carelessnessC. the light of fireworksD. his fear of playing59. Why were the writer’s parents angry with him?A. Because he got up too late.B. Because he missed breakfast.C. Because he was late for the party.D. Because he came back home too late.60. What did the writer want to tell us in the passage?A. He had an unlucky holiday.B. He had too much homework.C. His parents were very strict.D. He planned to lose weight.DSteven Jobs, the designer of Apple Computer, was not clever when he was in school.At that time, he was not a good student and he always made troubles with his schoolmates.When he went into college, he didn't change a lot.Then he dropped out.But he was full of new ideas.After he left college, Steven Jobs worked as a video game designer.He worked there for only several months and then he went to India.He hoped that the trip would give him some new ideas and give him a change in life.Steven Jobs lived on a farm in California for a year after he returned from India.In 1975, he began to make a new type of computer.He designed the Apple Computer with his friend in his garage.He chose the name “Apple” just because it could help him to remember a happy summer he once spent in an apple tree garden.His Apple Computer was such a great success that Steven Jobs soon became famous all over the world.61.Steven Jobs was not a good student in school because he ________.A. never did his lessonsB. was full of new ideasC. always made troubles with his schoolmatesD. dropped out62.Did Steven Jobs finish college?A. Yes, he did.B. No, he didn't.C. No, he didn't go into college.D. We don't know.63.Steven Jobs designed his new computer ______.A. in IndiaB. with his friendC. in a pear tree gardenD. by himself64.Steven Jobs is famous for his ________ all over the world.A. new ideasB. appleC. Apple ComputerD. video games65.From this passage we know ________.A. Steven Jobs didn't finish his studies in the college because he hatedhis schoolmatesB. Steven Jobs liked traveling in India and CaliforniaC. Steven Jobs liked trying new things and making new ideas become trueD. Steven Jobs could only design video gamesEIf you go into the forest with friends, stay with them. If you don't, you may get lost. If you get lost, this is what you should do. Sit down and stay where you are. Don't try to find your friends. Let them find you. You can help them find you by staying in one place. There is another way to help your friends or other people to find you. You can shout or whistle (吹口哨) three times. Stop. Then shout or whistle three times again. Any signal given three times is a call for help.Keep up shouting or whistling. Always three times together. When people hear you, they will know that you are not just making a noise for fun. They will let you know that they have heard your signal. They will give you two shouts or two whistles. When a signal is given twice, it is an answer to a call for help.If you don't think that you will get help before night comes, try to make a little house with branches .Make yourself a bed with leaves and grass.When you need some water, you have to leave your little branch house to look for it. Don't just walk away .Pick off small branches and drop them as you walk in order to go back again easily.66.If you get lost in the forest, you should ________.A. walk around the forest to find your friendsB. stay in one place and give signalsC. climb up a tree and wait for your friends quietlyD. shout as loudly as possible67.Which signal is a call for help?A. Shouting one time as loudly as you can.B. Crying twice.C. Shouting or whistling three times together.D. Whistling everywhere in the forest.68.When you hear two shouts or two whistles, you know that ________.A. someone finds something interestingB. people will come and help youC. someone needs helpD. something terrible will happen69.Before night comes, you should try to make a little house with ________.A. stoneB. earthC. leaves and grassD. branches70.Which of the following is the best title?A. Getting Water in the ForestB. Spending the Night in the ForestC. Surviving (生存) in the ForestD. Calling for Help in the Forest 第四节：补全对话，从方框内7个选项中选择恰当的5个句子完成此对话(共5分)John: Hi, Karl. You were not here, in your class yesterday afternoon. What was wrong?Karl: 71________John: Sorry to hear that.72Karl: Much better. The fever is gone. But I still cough and I feel weak. John: 73Karl: Yes, I have. I went to the doctor’s yesterday afternoon. The doctor gave me some medicine and asked me to stay in bed for a few days. John: 74Karl: Because I’m afraid I’ll miss more lessons and I’ll be left behind. John: Don’t worry. Take care of yourself. 75第Ⅱ卷（非选择题,共50分）一、根据句意及所给提示，补全单词或用单词、固定短语、固定搭配的正确形式填空(10分)76. Many athletes won gold medals in the Olympics, they are our national h_____.77. Tom didn’t finish _____________( write) his test because he ran out of the time.78. The girl is making a model doll ___________ (care).79. The boy felt __________(困倦的) in class because he stayed up late last night.80. So Terrible! The airplane ______________(起飞) five minutes ago.81.I don't think students should be（允许）to bring mobile phones to school.82.I find it useless to spend much time（解释）it to him.83. She prefers keeping silent to（争吵）with others.84. It is important for us to be（有信心的）of doing everything.85. The doctor operated on the patient（成功）yesterday.二、汉译英, 一空一词（共5小题，每小题2分，计10分）86. 他默默地在雨中行走，浑身上下都被淋湿。
绵阳中学自主招生模拟试题
数学素质考查卷一.选择题：（本大题共12个小题，每个4分，共48分，将所选答案填涂在机读卡上）1、下列因式分解中，结果正确的是（ ）A.2322()x y y y x y -=-B.424(2)(2)(2)x x x x -=+-+C.211(1)x x x x x --=--D.21(2)(1)(3)a a a --=--2、“已知二次函数2y ax bx c =++的图像如图所示，试判断a b c ++与0的大小.”一同学是这样回答的：“由图像可知：当1x =时0y <，所以0a b c ++<.”他这种说明问题的方式体现的数学思想方法叫 做（ ）A.换元法B.配方法C.数形结合法D.分类讨论法 3、已知实数x 满足22114x x x x ++-=，则14x -的值是（ ）A.-2B.1C.-1或2D.-2或1 4、若直线21y x =-与反比例函数k y x =的图像交于点(2,)P a ，则反比例函数k y x =的图像还必过点（ ）A.(-1,6)B.(1,-6)C.(-2,-3)D.(2,12) 5、现规定一种新的运算：“*”：*()m n m n m n -=+，那么51*22＝（ ）A.54B.5C.3D.96、一副三角板，如图所示叠放在一起，则AOB COD ∠+∠＝（ ）A.180°B.150°C.160°D.170°7、某中学对2005年、2006年、2007年该校住校人数统计时发现，2006年比2005年增加20%，2007年比2006年减少20%，那么2007年比2005年（ ）A.不增不减B.增加4％C.减少4％D.减少2％8、一半径为8的圆中，圆心角θ为锐角，且32θ=，则角θ所对的弦长等于（ ） A.8 B.10 C.82 D.169、一支长为13cm 的金属筷子（粗细忽略不计），放入一个长、宽、高分别是4cm 、3cm 、16cm 的长方体水槽中，那么水槽至少要放进（ ）深的水才能完全淹没筷子。
绵阳中学自主招生考试模拟试题二
CuCuO CuSO4CO2Na2CO3CaCO3 FeSO 4Fe(OH)3Fe2O3绵阳中学招生考试化学模拟测试卷二（时间：50分钟满分：70分）班级：姓名：得分：可能用到的相对原子质量：H-1 C-12 O-16 Na-23 Cl-35.5 Ca-40 Fe-56 Ba-137一、单项选择题（每题3分，共36分）1.下列对物质的归类正确的是（）选项归类物质A 氧化物水、双氧水、氢氧化钾B 可燃气体氢气、氧气、天然气C 营养物质淀粉、油脂、蛋白质D 大气污染物粉尘、氮氧化物、二氧化碳2.实验室用KClO3制氧气并回收MnO2和KCl，下列操作不．规范的是（）A．用装置甲收集氧气B．用装置乙溶解完全反应后的固体C．用装置丙分离MnO2和KCl溶液D．用装置丁蒸干分离后的溶液得KCl晶体3.下列排列顺序正确的是（）4.甲和乙可以合成清洁燃料丙，微观过程如下图。
下列说法错误．．的是（）A．丁的化学式为H2O2B．丙中C、H、O的质量比为12:3:8C．一定浓度的丙溶液可作消毒剂D．该反应体现无机物可转化为有机物5.下列指定反应的化学方程式正确的是（）A．铁丝在氧气中燃烧：4Fe＋3O22Fe2O3B．铝片溶于稀硫酸：Al＋H2SO4AlSO4＋ H2↑C．铜绿的形成：2Cu＋O2＋H2O＋CO2Cu2(OH)2CO3D．过氧化钠与二氧化碳反应生成纯碱和氧气：Na2O2＋CO2Na2CO3＋O26.下列除杂设计（括号内为杂质）正确的是（）序号物质[来源:Z§xx§]选用试剂操作A CO2（HCl）NaOH溶液洗气B CaO（CaCO3）H2O 加入足量的水，充分溶解，过滤C[来KNO3溶液（K2CO3）稀盐酸加入适量的盐酸至不再产生气泡为止D NaCl溶液（CaCl2）①Na2CO3溶液②稀盐酸先加入过量试剂①，过滤；再向滤液中加入适量试剂②7.下列各组转化中，一定条件下均能一步实现的组合是（）A．①②B．①③C．②③D．①②③8.有NaHCO3和Na2CO3的固体混合物13.7g，将其充分加热至固体质量不再减少，得剩余固体。
绵阳中学自主招生数学模拟试题
绵阳中学自主招生模拟试题数学考号姓名 .注意事项：1、答选择题前，考生务必将自己的姓名、准考证号、考试科目准确涂写在答题卡上.每个选择题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦擦干净后，再选涂其它答案，选择题不能答在试题卷上.2、填空题和计算题必须答在答卷上.3、考试结束时，将试题卷、答卷和答题卡一并交回.一、选择题：（共15个题，每个4分，共60分）.1．下列因式分解中，结果正确的是（）.A.B.C.D.2．已知实数满足，则的值是（）.A.-2 B.1 C.-1或2 D.-2或13．若直线与反比例函数的图像交于点，则反比例函数的图像还必过点（）.A.（-1，6）B.（1，-6）C.（-2，-3）D.（2，12）4．现规定一种新的运算：“”：，那么（）.A.B.5C.3D.95．一副三角板，按如图一所示叠放在一起，则（）.A.180°B.150°C.160°D.170°6．某中学对2005年、2006年、2007年该校住校人数统计时发现，2006年比2005年增加20%，2007年比2006年减少20%，那么2007年比2005年（）.A.不增不减B.增加4%C.减少4% D.减少2%7．一个不透明的口袋里装有红、黄、蓝三种颜色的小球（除颜色外其余都相同），其中红球有2个，蓝球有1个，黄球1个，第一次摸出一个球（不放回），第二次再摸一个小球，两次摸到都是红球的概率是（）.A.B .C.D.8．一支长为13cm的金属筷子（粗细忽略不计），放入一个长、宽、高分别是4cm、3cm、16cm的长方体水槽中，那么水槽至少要放进（）深的水才能完全淹没筷子.A.13cmB.cm C.12cm D.cm9．一个平面封闭图形内（含边界）任意两点距离的最大值称为该图形的“直径”，封闭图形的周长与直径之比称为图形的“周率”，下面四个平面图形（依次为正三角形、正方形、正六边形、圆）的周率从左到右依次为a1，a2，a3，a4，则下列关系中正确的是（）.A.a4>a2>a1B.a4>a3>a2C.a1>a2>a3D.a2>a3>a410．由绵阳出发到成都的某一次列车，运行途中须停靠的车站依次是：绵阳→罗江→黄许→德阳→广汉→青白江→新都→成都. 那么要为这次列车制作的车票一共有（）.A.7种B.8种C.56种D.28种11．有一列数a1、a2、a3、……、an，从第二个数开始，每一个数等于1与它前面那个数的倒数的差，若a1=2，则a2014等于（）.A.B.-1C.2D.112．若某空间几何体的三视图如图二所示，则该几何体的体积是（）.A.2B.1C.D.13．如图，在直角梯形ABCD中，AD∥BC，，且CD=2AD，，过点D作DE∥AB，交的平分线于点E，连接BE，下列结论正确的有（）个（1）BC=CD；（2）若将△BCE绕点C，顺时针旋转90°得到△DCG，连接EG，则CD垂直平分EG；（3）若延长BE交CD于点P，则P 是CD的中点；（4）图中共有四对全等三角形.A.1B.2C.3D.414．如图四，在Rt△ABC中，已知∠C=90°，AC=6，BC=8，⊙O为△ABC的内切圆，分别切⊙O于D、E、F，则阴影部分面积为（）.A.B.C.D.15．如图五，双曲线，过点P（3，2）分别作轴、轴的垂线，分别交双曲线于A、B两点，则的最大值是 ( ) .A. 6B. 3C.D. 2二、填空题：(本大题共6个小题，每小题4分，共24分.将答案填写在答题卡相应位置的横线上).16．要使函数 y=有意义，则的取值范围是 .17．如图六，为了测量涪江的宽度AB，测量人员在越王楼上选取一处离地面高25m的建筑CD的顶端D处测得河岸B处的俯角45°，测得河对岸A处的俯角为30°（A、B、C在同一条直线上），则河的宽度AB为 m..18．如图七，在Rt△ACB中，∠C=90°，AC=8，BC=6，CD平分∠ACB，则△ACD的面积是 .19．如图八，正方形ABCD的边长为1，E、F分别是BC、CD上的两个动点，当AE=EF=EC时，求AF= .20．参加某保险公司的汽车保险，汽车修理费是按分段赔偿，具体分段赔偿细则图九所示. 某人在汽车修理后在保险公司得到的赔偿金额是2000元，那么此人的汽修理费是元.21．如图，抛物线是二次函数的图象，则下列结论：①；②；③抛物线与x轴的另一个交点为（3，0）；④；⑤，其中正确的结论有 .三、解答题：本大题共6个小题，共66分.解答应写出文字说明、证明过程或演算步骤.22．（本题共2个小题，每小题5分，共10分）（1）计算（2）先化简，再求值:÷(a-),其中a=+123．（本题满分10分）如图所示，在△ABC中，以AB为直径的⊙O交BC于点P，PD⊥AC于点D，且AB=AC .（1）PD与⊙O有怎样的位置关系？说明理由.（2）若BC=8，AB=5，求CD的值．24. （本题满分10分）已知关于的方程（1）求证：无论为任何实数，该方程总有两个不等实数根；（2）以该方程的两根为一直角三角形的两直角边长，已知该三角形斜边上的中线长为，求实数的值.25．（本题满分12分）在刚过去的“五·一”小长假中，各商家都纷纷推出形式多样的购物活动来应对的购物高峰．百盛某箱包品牌专卖店准备购进甲、乙两种箱包．其中每个甲箱包的进价比每个乙箱包的进价多20元，每个甲箱包的售价为240元，每个乙箱包的售价为160元.已知：用3000元购进甲种箱包的数量与用2400元购进乙种箱包的数量相同．设每个甲箱包的进价为m元（1）求m的值（2）要使购进的甲、乙两种箱包共200个的总利润（利润=售价﹣进价）不少于21700元，且不超过22000元，问该专卖店有几种进货方案？（3）在（2）的条件下，专卖店准备对甲种箱包进行优惠促销活动，决定对甲种箱包每个优惠a(50＜a＜70）元出售，乙种箱包价格不变．那么该专卖店要获得最大利润应如何进货？26．（本题满分12分）在正方形ABCD中，直线MN是过点B的任意一条直线，AE⊥MN，CF⊥MN，垂足分别为E、F，当MN∥AC时,如图1，显然有EF=AE+CF；（1）直线MN绕点B旋转到如图2的位置（MN与AC不平行，垂线段AE、CF 在直线MN的同侧），上面的结论成立吗？说明理由；(2) 直线MN绕点B旋转到如图3的位置（垂线段AE、CF在直线MN的异侧），①直接写出线段EF、AE、CF长度之间的关系；②若MN与AC相交于点G，CF=10㎝，AE=4㎝,求△ABG的面积；27．（本题满分12分）如图，已知抛物线与x轴交于A、B两点，与y轴交于C点，在抛物线内有一点M（1，m）恰好在此抛物线的对称轴上，M到A、C两点的距离都为，抛物线的顶点为E．（1）求m的值及抛物线的解析式；（2）点P是轴上的一个动点，试探究在抛物线上是否存在另一动点Q，使得A、C、P、Q四点所组成的四边形是平行四边形，若存在，求出Q点坐标，不存在，请说明理由.（3）如图2，直线CM交抛物线于点D, 连接BE，CE、BD，G为BD中点，若在轴上有一点H，满足△BGH的面积等于△BEC的面积，求出点H的坐标.。
【新】2019-2020绵阳南山中学实验学校初升高自主招生数学【4套】模拟试卷【含解析】
第一套：满分120分2020-2021年绵阳南山中学实验学校初升高自主招生数学模拟卷一．选择题（共6小题，满分42分）1. （7分）货车和小汽车同时从甲地出发，以各自的速度匀速向乙地行驶，小汽车到达乙地后，立即以相同的速度沿原路返回甲地，已知甲、乙两地相距180千米，货车的速度为60千米/小时，小汽车的速度为90千米/小时，则下图中能分别反映出货车、小汽车离乙地的距离y （千米）与各自行驶时间t （小时）之间的函数图象是【 】A. B. C. D.2. （7分）在平面直角坐标系中，任意两点规定运算：①；②；③当x 1= x 2且y 1=y 2时，A =B.有下列四个命题：（1）若A (1，2)，B (2，–1)，则，； （2）若，则A =C ； （3）若，则A =C ；()()1122,,，A x y B x y ()1212,⊕=++A B x x y y 1212=⊗+A B x x y y (),31⊕= A B 0=⊗A B ⊕=⊕A B B C =⊗⊗A B B C（4）对任意点A 、B 、C ，均有成立. 其中正确命题的个数为（ ）A. 1个B. 2个C. 3个D. 4个 3．（7分）如图，AB 是半圆直径，半径OC ⊥AB 于点O ，AD 平分∠CAB 交弧BC 于点D ，连结CD 、OD ，给出以下四个结论：①AC ∥OD ；②CE=OE ；③△ODE ∽△ADO ；④2CD 2=CE •AB ．正确结论序号是（ ）A ．①②B ．③④C ．①③D ．①④ 4. （7分）如图，在△ABC 中，∠ACB =90º，AC =BC =1，E 、F 为线段AB 上两动点，且∠ECF =45°，过点E 、F 分别作BC 、AC 的垂线相交于点M ，垂足分别为H 、G ．现有以下结论：①；②当点E 与点B 重合时，；③；④MG •MH =，其中正确结论为（ ）A. ①②③B. ①③④C. ①②④D. ①②③④ 5.（7分）在数学活动课上，同学们利用如图的程序进行计算，发现无论x 取任何正整数，结果都会进入循环，下面选项一定不是该循环的是（ ）A. 4，2，1B. 2，1，4C. 1，4，2D. 2，4，1 6. （7分）如图，在矩形ABCD 中，AB =4，AD =5，AD 、AB 、BC 分别与⊙O 相切于E 、F 、G 三点，过点D()()⊕⊕=⊕⊕A B C A B C 2AB =12MH =AF BE EF +=12作⊙O 的切线交BC 于点M ，则DM 的长为（ ）A.B. C. D.二．填空题（每小题6分，满分30分）7.（6分）将边长分别为1、2、3、4……19、20的正方形置于直角坐标系第一象限，如图中方式叠放，则按图示规律排列的所有阴影部分的面积之和为 . 8.（6分）如图，三个半圆依次相外切，它们的圆心都在x 轴上，并与直线33y x =相切．设三个半圆的半径依次为r 1、r 2、r 3，则当r 1＝1时，r 3＝ ．9.（6分）如图，将一块直角三角板OAB 放在平面直角坐标系中，B （2，0），∠AOB=60°，点A 在第一象限，过点A 的双曲线为k y x=．在x 轴上取一点P ，过点P 作直线OA 的垂线l ，以直线l 为对称轴，线段OB 经轴对称变换后的像是O ´B ´．（1）当点O ´与点A 重合时，点P 的坐标是 ；（2）设P （t ，0），当O ´B ´与双曲线有交点时，t 的取值范围是 ．1339241332510.（6分）如图，正方形A 1B 1P 1P 2的顶点P 1、P 2在反 比例函数2(0)y x x=>的图象上，顶点A 1、B 1分别在x 轴、y 轴的正半轴上，再在其右侧作正方形P 2P 3A 2B 2，顶点P 3在反比例函数2(0)y x x=>的图象上，顶点A 2在x 轴的正半轴上，则点P 3的坐标为 ．11.（6分）如图，在⊙O 中，直径AB ⊥CD ，垂足为E ，点M 在OC 上，AM 的延长线交⊙O 于点G ，交过C 的直线于F ，∠1=∠2，连结CB 与DG 交于点N ．若点M 是CO 的中点，⊙O 的半径为4，cos ∠BOC=41，则BN= ．三．解答题（每小题12分，满分48分）12.（12分）先化简，再求值：， 其中.13.（12分）如图，点A （m ，m ＋1），B （m ＋3，m －1）都在反比例函数的图象上．（1）求m ，k 的值；32221052422x x x x x x x x --÷++--+-2022(tan 45cos30)21x =-+︒-︒-xky =xO yAB （2）如果M 为x 轴上一点，N 为y 轴上一点， 以点A ，B ，M ，N 为顶点的四边形是平行四边形，试求直线MN 的函数表达式． （3）将线段AB 沿直线进行对折得到线段，且点始终在直线OA 上，当线段与轴有交点时,则b 的取值范围为 （直接写出答案）14.（12分）如图，在Rt △ABC 中，∠ABC=90°，以AB 为直径作⊙O 交AC 于点D ，DE 是⊙O 的切线，连接DE ．（1）连接OC 交DE 于点F ，若OF=CF ，证明：四边形OECD 是平行四边形； （2）若=n ，求tan ∠ACO 的值b kx y +=11B A 1A 11B A x OFCF15.（12分）如图1，抛物线y ＝ax 2＋bx ＋c （a ≠0）的顶点为C （1，4），交x 轴于A 、B 两点，交y 轴于点D ，其中点B 的坐标为（3，0）。
【考试必备】2018-2019年最新四川绵阳中学初升高自主招生考试英语模拟精品试卷【含解析】【4套试卷】
2018-2019年最新四川绵阳中学自主招生考试英语模拟精品试卷（第一套）考试时间：120分钟总分：150分第I卷（选择题，共100分）第一节：单项填空（共25小题，每小题1分，满分25分）1. —When did the terrible earthquake in YaNan happen?—It happened ________ the morning of April 20, 2013.A. onB. atC. inD. /2. Our teacher told us ________ too much noise in class.A. to makeB. makeC. not to makeD. not make3. Here is your hat. Don’t forget______ when you __________.A. to put it on, leaveB. to wear it, leaveC. to wear it, will leaveD. putting it on, will leave4. The baby is sleeping. You _____ make so much noise.A. won’tB. mustn’tC. may notD. needn’t5. Since you are _____ trouble, why not ask _________ help?A. in, forB. in, toC. with, forD. with, to6. It’s about___________kilometers from Nanchong to Chengdu.A. two hundredsB. two hundreds ofC. two hundredD. two hundred of7. It is six years since my dear uncle ________China.A. leftB. has leftC. is leftD. had left8. —How long _______ you _______ the bicycle?—About two weeks.A. have, hadB. have, boughtC. did, buyD. have, have9. The Yellow River is not so ________ as the Yangtze River.A. longerB. longC. longestD. a long10. Mrs.Green usually goes shopping with ________ umbrella in ________ summer.A. a；theB. an； /C. the； aD. /；/11. At first, I was not too sure if he could answer the question. However, ____,he worked it out at last with the help of his friend.A. to my angerB. to my surpriseC. in other wordsD. ina word12. —Must I stay here with you?—No, you ______.You may go home, but you _____ go to the net bar (网吧).A. mustn't; needn'tB. needn't; mustn'tC. must; needD. need; must13. I ______ the newspaper while my mother _____TV plays yesterday evening.A. was reading; was watchingB. was reading; watchedC. read; was watchingD. read; would watch14. It's a rule in my class that our classroom ________ before 6：00 p. m.every day.A. be able to cleanB. should be cleaningC. must cleanD. must be cleaned15. —Tom wants to know if you ________ a picnic next Sunday.—Yes. But if it ________， we'll visit the museum instead.A. will have; will rainB. have; rainsC. have; will rainD. will have; rains16.—Would you mind looking after my dog while I'm on holiday?—________.A. Of course notB. Yes. I'd be happy toC. Not at all. I've no timeD. Yes, please17. Many students didn’t realize the importance of study _______they left school.A. whenB. untilC. afterD. unless18. My father _______ to Shanghai. He _______ for over 2 months.A. has been, has leftB. has gone, has goneC. has gone, has been awayD. has been, has gone19. They are your skirts. Please __________.A. put it awayB. put out itC. put them awayD. put them out20. —Please read every sentence carefully. you are,mistakes you’llmake.—Thank you for your advice.A. The more carefully; the fewerB. The more careful; the lessC. The more carefully; the lessD. The more careful; the fewer21. My friend is coming today but he didn’t tell me _______.A. when did the train arriveB. how did the train arriveC. when the train arrivedD. how the train arrived22. I felt it hard to keep up with my classmate s. But whenever I wantto _______, my teacher always encourages me to work harder.A. go onB. give upC. run awayD. give back23. —________ fine weather it is today!—Let's go for a picnic.A. WhatB. HowC. What aD. How a24.— Mary, you’re going to buy an apartment here, aren’t you?—Yes, but I can’t_______an expensive one.A. spendB. costC. payD. afford25. —Would you like to drink coffee or milk?—_________. Please give me some tea.A. NeitherB. BothC. EitherD. None第二节：完形填空（共20小题，每小题1分，满分20分）(A)Big schoolbags have been a serious problem for students for a long time.Maybe your schoolbag is too __26__ to carry, and it troubles you a lot __27__ you want to find a book out to read. Now an etextbook will __28__ you.It is said that etextbooks are going to be __29__ in Chinese middle schools.An etextbook, in fact, is a small __30__ for students.It is much __31__ than a usual schoolbag and easy to carry. Though it is as small as a book, it can __32__ all the materials (材料) for study.The students can read the text page by page on the __33__， take notes with the pointer (屏写笔). Or even “__34__” their homework to their teachers by sending emails. All they have to do is to press a button.Some people say etextbooks are good, but some say they may be __35__ for the students' eyes. What do you think of it?26.A.light B. heavy C. useful D. comfortable27.A.till B. after C. before D. when28.A.trouble B. prevent C. help D. understanded B. kept C. invented D. lent B. radio C. pen D. computer31.A.heavier B. lighter C. cheaper D. brighter32.A.hold B. build C. discover D. practice33.A.blackboard B. desk C. screen D. card34.A.find out B. hand in C. get back D. give back35.A.helpful B. famous C. good D. bad(B)Food is very important. Everyone needs to _36_ _well if he/she wants to have a strong body. Our minds also need a kind of food. This kind of food is__ 37 __.We begin to get a knowledge even when we are very young. Small children are __38__ in everything around them. They learn __39 __while they are watching and listening. When they are getting older, they begin to ___ 40__ story books, science books…anything they like. When they find something new, they have to ask questions and__41___ to find out the answers.What is the best ___42___to get knowledge? If we learn___43___ourselves, we will get the most knowledge, If we are__44___getting answers from others and don’t ask why, we will never learn more and understand___45_.36. A. sleep B. read C. drink D. eat37. A. sport B. exercise C. knowledge D. meat38. A. interested B. interesting C. weak D. meat39. A. everybody B. something C. nothing D. anything40. A. lend B. write C. think D. read41. A. try B. wait C. think D. need42. A. place B. school C. way D. road43. A. in B. always C. to D. by44. A. seldom B. always C. certainly D. sometimes45.A.harder B. much C. well D. better第三节：阅读理解（共25小题，每小题2分，满分50分）AFamous Museums_______ .A. BeijingB. LondonC. New YorkD. The USA47. New York Museum is America’s largest museum on American__________.A. areaB. historyC. collectionsD. buildings48. The Palace Museum. Which is in the center of Beijing, is also called“Forbidden City(紫禁城)” in China. It lies in __________.A.Chang’an StreetB. New Oxford StreetC. BerlingD. Chestnut Street49. According to the form, if you want to see ancient Chinese collections,you can visit ____ at most.A. one museumB. two museumsC. three museumsD. four museums50. Which of the following is TRUE according to the information above?A. Each ticket for the Palace Museum costs the same in the whole year.B. You don’t have to pay for tickets if you visit New York Museum on Monday.C. British Museum lies in Chestnut street, London.D. New York Museum is the largest in the world.BIn recent years, more and more people like to keep pets such as a dog, a cat, a monkey and other animals. But usually people would accept tame(温顺的) and loyal(忠诚的) animals as pets rather than dangerous ones such as a lion，a tiger or a snake.People love pets and take good care of them. The owners usually regard pets as good friends and some even consider them as members of the family. Although they are not human beings(人类), their behavior sometimes is better than human beings, for they are always loyal to their owners. There are always many stories about brave and smart pets. We often hear that a pet dog saved the owner's life or traveled thousands of miles to return home. Such stories often make pets more lovely.Some pets can also be trained to help people with some special work. For example, trained dogs can help the blind to walk and trained dogs and pigs can even help police to find where drugs are easily.But pets are sometimes trouble-makers. Some pets like dogs or snakes may hurt people without any warning. Some people may become ill after being hurt because of the virus carried by the pets. If they are not taken good care of, they will become very dirty and easily get ill. So pets are helpful to us but keeping pets is not an easy job.51. What animals are thought to be dangerous as pets?A. Cats.B. Dogs.C. Snakes.D. Monkeys52. Which of the following statements is TRUE about pets?A. All the pets are considered as family members.B. Pets always behave better than human beings.C. Sometimes some pets can protect their owners.D. Pets like traveling far away from home.53. Why do people train pets according to the passage?A. To make them more clever.B. To make them more lovely.C. To find drugs for the blind.D. To do some special work.54. What can we learn from the last paragraph?A. Pets often hurt strange people.B. Pets can live well with the virus.C. Pets are dirty and dangerous.D. Pets should be looked after well.55. What is the best title for the passage?A. Training Pets.B. Keeping Pets.C. Cleaning Pets.D.Loving Pets.CFrom Feb. 8 to Mar. 1 is our winter holiday. I think everybody did a lot in the holiday. But it seems that I did nothing and it was my most unlucky holiday.I spent a lot of time on my homework. Every morning my mother woke me up early and I had breakfast in a hurry. Then I had to do my homework almost the whole day! I’m not a very slow person but the homework was too heavy!I was also unlucky when playing. During the Spring Festival, I played fireworks but my finger was hurt because I was careless to light the fireworks. I began to fear playing with fireworks from then.I was still unlucky on my friend’s party. On my friend’s birthday, unusually I woke up at 10:50 because my parents went to visit my grandmother early in the morning. The party would start in 10 minutes! So I hurried to my friend’s home without breakfast. I returned very late that day and when I got home, my parents were very angry with me.Another worrying thing was my weight. Last term, I was 46 kg but nowI am 51 kg! I have to consider losing weight!56. How long did the winter holiday last?A. two monthsB. one monthC. 4 weeksD. 22 days57. The writer got up early every day during the holiday because ______.A. he had to finish homeworkB. he had to have breakfastC. he was a very slow personD. his mother was in a hurry58. He hurt his finger because of ________.A. the Spring FestivalB. his carelessnessC. the light of fireworksD. his fear of playing59. Why were the writer’s parents angry with him?A. Because he got up too late.B. Because he missed breakfast.C. Because he was late for the party.D. Because he came back home too late.60. What did the writer want to tell us in the passage?A. He had an unlucky holiday.B. He had too much homework.C. His parents were very strict.D. He planned to lose weight.DSteven Jobs, the designer of Apple Computer, was not clever when he was in school.At that time, he was not a good student and he always made troubles with his schoolmates.When he went into college, he didn't change a lot.Then he dropped out.But he was full of new ideas.After he left college, Steven Jobs worked as a video game designer.He worked there for only several months and then he went to India.He hoped that the trip would give him some new ideas and give him a change in life.Steven Jobs lived on a farm in California for a year after he returned from India.In 1975, he began to make a new type of computer.He designed the Apple Computer with his friend in his garage.He chose the name “Apple” just because it could help him to remember a happy summer he once spent in an apple tree garden.His Apple Computer was such a great success that Steven Jobs soon became famous all over the world.61.Steven Jobs was not a good student in school because he ________.A. never did his lessonsB. was full of new ideasC. always made troubles with his schoolmatesD. dropped out62.Did Steven Jobs finish college?A. Yes, he did.B. No, he didn't.C. No, he didn't go into college.D. We don't know.63.Steven Jobs designed his new computer ______.A. in IndiaB. with his friendC. in a pear tree gardenD. by himself64.Steven Jobs is famous for his ________ all over the world.A. new ideasB. appleC. Apple ComputerD. video games65.From this passage we know ________.A. Steven Jobs didn't finish his studies in the college because he hatedhis schoolmatesB. Steven Jobs liked traveling in India and CaliforniaC. Steven Jobs liked trying new things and making new ideas become trueD. Steven Jobs could only design video gamesEIf you go into the forest with friends, stay with them. If you don't, you may get lost. If you get lost, this is what you should do. Sit down and stay where you are. Don't try to find your friends. Let them find you. You can help them find you by staying in one place. There is another way to help your friends or other people to find you. You can shout or whistle (吹口哨) three times. Stop. Then shout or whistle three times again. Any signal given three times is a call for help.Keep up shouting or whistling. Always three times together. When people hear you, they will know that you are not just making a noise for fun. They will let you know that they have heard your signal. They will give you two shouts or two whistles. When a signal is given twice, it is an answer to a call for help.If you don't think that you will get help before night comes, try to make a little house with branches .Make yourself a bed with leaves and grass.When you need some water, you have to leave your little branch house to look for it. Don't just walk away .Pick off small branches and drop them as you walk in order to go back again easily.66.If you get lost in the forest, you should ________.A. walk around the forest to find your friendsB. stay in one place and give signalsC. climb up a tree and wait for your friends quietlyD. shout as loudly as possible67.Which signal is a call for help?A. Shouting one time as loudly as you can.B. Crying twice.C. Shouting or whistling three times together.D. Whistling everywhere in the forest.68.When you hear two shouts or two whistles, you know that ________.A. someone finds something interestingB. people will come and help youC. someone needs helpD. something terrible will happen69.Before night comes, you should try to make a little house with ________.A. stoneB. earthC. leaves and grassD. branches70.Which of the following is the best title?A. Getting Water in the ForestB. Spending the Night in the ForestC. Surviving (生存) in the ForestD. Calling for Help in the Forest 第四节：补全对话，从方框内7个选项中选择恰当的5个句子完成此对话(共5分)John: Hi, Karl. You were not here, in your class yesterday afternoon. What was wrong?Karl: 71________John: Sorry to hear that.72Karl: Much better. The fever is gone. But I still cough and I feel weak. John: 73Karl: Yes, I have. I went to the doctor’s yesterday afternoon. The doctor gave me some medicine and asked me to stay in bed for a few days. John: 74Karl: Because I’m afraid I’ll miss more lessons and I’ll be left behind. John: Don’t worry. Take care of yourself. 75第Ⅱ卷（非选择题,共50分）一、根据句意及所给提示，补全单词或用单词、固定短语、固定搭配的正确形式填空(10分)76. Many athletes won gold medals in the Olympics, they are our national h_____.77. Tom didn’t finish _____________( write) his test because he ran out of the time.78. The girl is making a model doll ___________ (care).79. The boy felt __________(困倦的) in class because he stayed up late last night.80. So Terrible! The airplane ______________(起飞) five minutes ago.81.I don't think students should be（允许）to bring mobile phones to school.82.I find it useless to spend much time（解释）it to him.83. She prefers keeping silent to（争吵）with others.84. It is important for us to be（有信心的）of doing everything.85. The doctor operated on the patient（成功）yesterday.二、汉译英, 一空一词（共5小题，每小题2分，计10分）86. 他默默地在雨中行走，浑身上下都被淋湿。
四川绵阳中学(12级)自主招生试题
物理测试试题卷注意事项：1、答选择题前，考生务必将自己的姓名、准考证号、考试科目准确涂写在答题卡上。
每个选择题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦擦干净后，再选涂其它答案。
选择题不能答在试题卷上，只能答在答题卡上。
2、填空题和计算题必须答在答题卷上。
3、考试结束时，将试题卷、答题卷、答题卡和草稿纸一并交回。
一、单选题（在每小题给出的四个选项中，只有一个符合题意。
选对得3分，选错或不答得0分。
共计30分。
）1、下列关于声音的说法正确的是：A、声音在真空中传播的速度为340m/sB、声音只能在透明介质中传播C、牙科医生用超声波清洗牙垢，属于声音的利用D、人能分辨出吉它和小提琴发出的声音，主要是因为它们的音调不同2．在下列现象中，属于由光的折射现象形成的是：A、倒影B、色散C、日食和月食D、小孔成像3、下列物体中，受到平衡力作用的是：A、在水平公路上沿圆周匀速行驶的汽车B、竖直向上抛出的石子，到达最高点时C、沿光滑斜面滚下的小球D、直升飞机在空中竖直匀速上升过程中4．如图所示的电路中，电源电压恒定，当开关S闭合，甲、乙两表为电压表时，两表读数之比U甲：U乙为4:1;当开关S断开，甲、乙两表为电流表时，两表的读数之比I甲：I乙为：A．3:1 B．3:2 C．3:4 D．4:35、四块透镜分别放在蜡烛前20cm处，实验结果是：用透镜甲可成倒立缩小的像；用透镜乙可成正立放大的像；用透镜丙可成倒立放大的像；用透镜丁可成正立缩小的像。
可以判定透镜焦距最大的凸透镜是：A、甲B、乙C、丙D、丁6．如图所示，A、B两个立方体，它们的边长之比为2：1，密度之比为4：5，先将B放在水平桌面上，再将A叠放在B的上面，A、B均处于静止状态。
则A对B的压强与B对桌面的压强之比p A：p B为：A．128：37 B．37：128 C．37：32 D．32：377．弹簧秤下悬挂一条形磁铁，磁铁下方有一通电螺线管，如图所示，当电键S闭合且稳定后弹簧秤有—定的示数，为了使弹簧秤的示数减小，下列措施中可行的是：Ａ、滑片Ｐ向右滑动Ｂ、滑片Ｐ向左滑动Ｃ、减少线圈的匝数Ｄ、将电源的两极对调8、现有两个小灯泡，上面分别标有“6V 1.2W”和“12V 6W”字样，把这两个小灯泡并联起来，为了不损坏灯泡，则通过并联电路的总电流的最大值为：A.0.7AB.0.5AC.7AD.0.45A9．如图所示，用一动滑轮把重为100N的物体匀速提到4m高处，作用在绳末端的拉力为75N，则滑轮组的机械效率为：A．133％ B．75％ C．66．7％ D．60％10.如图所示电路中，电源电压恒定，R l为定值电阻，R2为滑动变阻器.闭合开关S后，滑动变阻器滑片P自b向a移动的过程中，下列判断错误的是：A.电流表A的示数变大 B．电压表V1的示数变大C．电压表V2的示数变小 D．电压表V1的示数不变二、不定项选择题（每题中至少有一项符合要求。
【新】2019-2020四川绵阳中学实验学校初升高自主招生数学【4套】模拟试卷【含解析】
第一套：满分120分2020-2021年四川绵阳中学实验学校初升高自主招生数学模拟卷一．选择题（共6小题，满分42分）1. （7分）货车和小汽车同时从甲地出发，以各自的速度匀速向乙地行驶，小汽车到达乙地后，立即以相同的速度沿原路返回甲地，已知甲、乙两地相距180千米，货车的速度为60千米/小时，小汽车的速度为90千米/小时，则下图中能分别反映出货车、小汽车离乙地的距离y （千米）与各自行驶时间t （小时）之间的函数图象是【 】A. B. C. D.2. （7分）在平面直角坐标系中，任意两点规定运算：①；②；③当x 1= x 2且y 1=y 2时，A =B.有下列四个命题：（1）若A (1，2)，B (2，–1)，则，； （2）若，则A =C ； （3）若，则A =C ；()()1122,,，A x y B x y ()1212,⊕=++A B x x y y 1212=⊗+A B x x y y (),31⊕= A B 0=⊗A B ⊕=⊕A B B C =⊗⊗A B B C（4）对任意点A 、B 、C ，均有成立. 其中正确命题的个数为（ ）A. 1个B. 2个C. 3个D. 4个 3．（7分）如图，AB 是半圆直径，半径OC ⊥AB 于点O ，AD 平分∠CAB 交弧BC 于点D ，连结CD 、OD ，给出以下四个结论：①AC ∥OD ；②CE=OE ；③△ODE ∽△ADO ；④2CD 2=CE •AB ．正确结论序号是（ ）A ．①②B ．③④C ．①③D ．①④ 4. （7分）如图，在△ABC 中，∠ACB =90º，AC =BC =1，E 、F 为线段AB 上两动点，且∠ECF =45°，过点E 、F 分别作BC 、AC 的垂线相交于点M ，垂足分别为H 、G ．现有以下结论：①；②当点E 与点B 重合时，；③；④MG •MH =，其中正确结论为（ ）A. ①②③B. ①③④C. ①②④D. ①②③④ 5.（7分）在数学活动课上，同学们利用如图的程序进行计算，发现无论x 取任何正整数，结果都会进入循环，下面选项一定不是该循环的是（ ）A. 4，2，1B. 2，1，4C. 1，4，2D. 2，4，1 6. （7分）如图，在矩形ABCD 中，AB =4，AD =5，AD 、AB 、BC 分别与⊙O 相切于E 、F 、G 三点，过点D()()⊕⊕=⊕⊕A B C A B C 2AB =12MH =AF BE EF +=12作⊙O 的切线交BC 于点M ，则DM 的长为（ ）A.B. C. D.二．填空题（每小题6分，满分30分）7.（6分）将边长分别为1、2、3、4……19、20的正方形置于直角坐标系第一象限，如图中方式叠放，则按图示规律排列的所有阴影部分的面积之和为 . 8.（6分）如图，三个半圆依次相外切，它们的圆心都在x 轴上，并与直线3y x =相切．设三个半圆的半径依次为r 1、r 2、r 3，则当r 1＝1时，r 3＝ ．9.（6分）如图，将一块直角三角板OAB 放在平面直角坐标系中，B （2，0），∠AOB=60°，点A 在第一象限，过点A 的双曲线为k y x=．在x 轴上取一点P ，过点P 作直线OA 的垂线l ，以直线l 为对称轴，线段OB 经轴对称变换后的像是O ´B ´．（1）当点O ´与点A 重合时，点P 的坐标是 ；（2）设P （t ，0），当O ´B ´与双曲线有交点时，t 的取值范围是 ．1339241332510.（6分）如图，正方形A 1B 1P 1P 2的顶点P 1、P 2在反 比例函数2(0)y x x=>的图象上，顶点A 1、B 1分别在x 轴、y 轴的正半轴上，再在其右侧作正方形P 2P 3A 2B 2，顶点P 3在反比例函数2(0)y x x=>的图象上，顶点A 2在x 轴的正半轴上，则点P 3的坐标为 ．11.（6分）如图，在⊙O 中，直径AB ⊥CD ，垂足为E ，点M 在OC 上，AM 的延长线交⊙O 于点G ，交过C 的直线于F ，∠1=∠2，连结CB 与DG 交于点N ．若点M 是CO 的中点，⊙O 的半径为4，cos ∠BOC=41，则BN= ．三．解答题（每小题12分，满分48分）12.（12分）先化简，再求值：， 其中.13.（12分）如图，点A （m ，m ＋1），B （m ＋3，m －1）都在反比例函数的图象上．（1）求m ，k 的值；32221052422x x x x x x x x --÷++--+-2022(tan 45cos30)21x =-+︒-︒-xky =xO yAB （2）如果M 为x 轴上一点，N 为y 轴上一点， 以点A ，B ，M ，N 为顶点的四边形是平行四边形，试求直线MN 的函数表达式． （3）将线段AB 沿直线进行对折得到线段，且点始终在直线OA 上，当线段与轴有交点时,则b 的取值范围为 （直接写出答案）14.（12分）如图，在Rt △ABC 中，∠ABC=90°，以AB 为直径作⊙O 交AC 于点D ，DE 是⊙O 的切线，连接DE ．（1）连接OC 交DE 于点F ，若OF=CF ，证明：四边形OECD 是平行四边形； （2）若=n ，求tan ∠ACO 的值b kx y +=11B A 1A 11B A x OFCF15.（12分）如图1，抛物线y ＝ax 2＋bx ＋c （a ≠0）的顶点为C （1，4），交x 轴于A 、B 两点，交y 轴于点D ，其中点B 的坐标为（3，0）。
绵阳市中学(实验学校)2023年自主招生物理模拟试卷
绵阳市中学(实验学校)2023年自主招生物理模拟试卷第一部分选择题1. 大小为 $2m$，电荷量为 $4C$，在均匀磁场中受力情况如下图。
则该磁场的方向为（）(A)竖直向下(B)竖直向上(C)向左方(D)向右方2. 汽车起动，圆形形状的轮胎转动的过程中，假如汽车一开始以频率为 $50Hz$ 转动，则当汽车加速到一定高速后，轮胎转动的频率会（）。
(A)减小(B)增大(C)不变(D)先减小后增大3. 在小轮轴上绕了一个长绳，被左右各拉着一点，达到平衡状态。
轮的直径为 $D$，重量为 $G$。
下列哪个说法是正确的？(A)限制绳算拉力到轮轴的距离不能小于 $\frac12 D$(B)限制轮轴的倾斜角不能小于三分之一弧度(C)无论绳的位置，轮轴的倾斜角都不能大于 $3^{\circ}$(D)限制悬线夹角为 $2\mathrm{arcsin}\frac{G}{2W}$第二部分解答题1. 在光滑水平面上，有一车重为 $\mathrm{N}$ 的列车，因空气阻力为 $3500\mathrm{N}$，受到电力逆行车运动。
在30s 内，车以 $45\mathrm{km/h}$ 的速度，从静止加速到最大速度。
车的最大速度是多少？车加速度是多少？（20分）解析：速度 $v=\frac{45\times1000}{3600}=12.5\mathrm{m/s}$加速度 $a=\frac{2s}{t^2}=\frac{2v}{t}=0.83\mathrm{m/s^2}$车的最大速度为 $v_{max}= \sqrt{\frac{-3500}{a}}=39.48\mathrm{m/s}$2. 有三个质量均匀分布的环，环的质量分别为$m_1,m_2,m_3$，各自的半径分别为 $r_1,r_2,r_3$，它们在同一根平衡杆上。
出发时，平衡杆与垂直线成 $\theta$ 角，杆顶距离杆底为 $L$。
若重力加速度为 $g$，试确定三个环的密度（20分）。
四川省绵阳市涪城区南山中学、南山中学实验学校自主招生物理模拟试卷
四川省绵阳市涪城区南山中学、南山中学实验学校自主招生物理模拟试卷一、选择题（共10小题，每小题3分，共30分．每小题只有一个选项复合题意）1．（3分）下列现象可以用光的折射解释的是（）A．利用凸面镜作汽车后视镜是为了看到车后更广阔的范围B．日光下看到自己在路面上形成的影子C．在游泳池边看到的池底比实际浅D．晴朗夏日的中午，在树荫下看见圆形的光斑2．（3分）有关光学元件的说法，正确的是（）A．.近视眼镜的镜片是凹透镜B．.凸透镜对光线具有发散作用C．光通过三棱镜时不发生偏折D．.平面镜不能改变光的传播方向3．（3分）下列数据中，最接近实际情况的是（）A．初中学生正常步行的速度约为l.0 m/sB．将一只苹果举过头顶做功约为l0 JC．饺子煮熟即将出锅时的温度约为60℃D．教室里40 W日光灯正常发光通过灯管的电流约为1 A4．（3分）二手烟对人们的危害非常严重，能导致多种疾病乃至癌症的产生，因此学校明文规定：“学校内禁止吸烟”，这样就可以避免同学们吸二手烟。
该规定的科学依据是（）A．一切物体都是由分子组成的B．分子在不停地做无规则的运动C．分子之间存在相互作用力D．有的分子之间只有引力，有的分子之间只有斥力5．（3分）音乐会上，我们观察到乐队在指挥的调动下演奏出灿烂的乐章。
那么指挥能分辨出不同乐器的声音，这是因为各种乐器具有自己特有的（）A．响度B．音色C．音量D．音调6．（3分）下列有关声的说法中符合实际的是（）A．太空里飞船中的宇航员可以通过自己飞船上的喇叭向临近飞船中的其他宇航员进行广播B．考场周围禁鸣喇叭是在人耳处减弱噪音C．“听诊器”能使人的心脏振动幅度增大，音调升高D．用超声波能击碎人体内的结石，说明声波具有能量7．（3分）小明同学在学习了运动和力的知识后有了以下的认识，其中正确的是（）A．如果两个力的大小相等、方向相同，则这两个力的作用效果一定相同B．推出去的铅球能继续在空中飞行，是由于铅球受到惯性的作用C．静止在水平课桌上的饮料瓶一定受到平衡力的作用D．如果运动的物体不受外力作用，它将慢慢停下来8．（3分）如图所示是杂技演员表演顶碗的精彩瞬间：她通过口含的短杆顶起上面放有几个碗的竖直杆，身体还要在舞台上作出转体、翻滚等高难动作。
四川省绵阳市南山中学、南山中学实验学校自主招生模拟化学试卷
温度/℃
0
20
40
60
溶解度/g
27.6
34.0
40.0
45.5
A．KCl 饱和溶液中不能再溶解其他物质 B．20℃时，100gKCl 饱和溶液中含 KCl 34.0g C．40℃时，KCl 饱和溶液的质量分数为 40.0% D．60℃的 KCl 饱和溶液降温至 20℃，有晶体析出 7．（3 分）关于 H2→H2O，CO→CO2，Mg→MgO 三种物质的转化过程，下列说法不正确的 是（ ）
什么气体？
【提出猜想】从元素守恒的角度，放出的气体可能是 SO2、O2、H2。 【查阅资料】SO2 易溶于水，它能与 NaOH 反应生成 Na2SO3。 【方案设计】依据上述猜想，实验小组同学分别设计了如下方案：
①甲同学认为是 O2，则检验方法是
。
②乙同学认为是 SO2，则只需将放出的气体通入盛有 NaOH 溶液的洗气瓶中，称量通气
系统过度兴奋或麻痹抑制，容易引发交通事故。某人饮酒后驾车，
被交警发现，经测定其每 100 毫升血液中酒精含量为 93 毫克，属于
驾车；
③交警常用装有重铬酸钾的仪器检测司机是否酒后开车，因为乙醇分子等可以使橙红色
的重铬酸钾变为绿色的硫酸铬。重铬酸钾[K2Cr2O7]和硫酸铬[Cr2（SO4）3 ]中，铬元素的
；
第7页（共7页）
前后洗气瓶的质量。写出 SO2 与 NaOH 反应的化学方程式
。
③实验小组同学合作设计了如下组合实验方案，排除和验证猜想的气体。
如果放出的是 O2 和 H2，你认为方案中的安全隐患是 （用方程式解释）。
，产生此隐患的原因：
老师说：“化学反应中，一种元素的化合价升高，肯定有元素的化合价降低，这是科学规
绵阳中学自主招生数学试题
数学素质考查卷 一.选择题：（本大题共12个小题，每个4分，共48分，将所选答案填涂在机读卡上） 1、下列因式分解中，结果正确的是（ ）A.2322()x y y y x y -=-B.424(2)(2)(2)x x x x -=+-+C.211(1)x x x x x--=-- D.21(2)(1)(3)a a a --=-- 2、“已知二次函数2y ax bx c =++的图像如图所示，试判断a b c ++与0的大小.”一同学是这样回答的：“由图像可知：当1x =时0y <，所以0a b c ++<.”他这种说明问题的方式体现的数学思想方法叫做（ ）A.换元法B.配方法C.数形结合法D.分类讨论法3、已知实数x 满足22114x x x x ++-=，则14x -的值是（ ） A.-2 B.1 C.-1或2 D.-2或14、若直线21y x =-与反比例函数k y x =的图像交于点(2,)P a ，则反比例函数k y x =的图像还必过点（ ）A. (-1,6)B.(1,-6)C.(-2,-3)D.(2,12) 5、现规定一种新的运算：“*”：*()m n m n m n -=+，那么51*22＝（ ） A.54B.5C.3D.9 6、一副三角板，如图所示叠放在一起，则AOB COD ∠+∠＝（ ）A.180°B.150°C.160°D.170°7、某中学对2005年、2006年、2007年该校住校人数统计时发现，2006年比2005年增加20%，2007年比2006年减少20%，那么2007年比2005年（ ）A.不增不减B.增加4％C.减少4％D.减少2％ 8、一半径为8的圆中，圆心角θ为锐角，且32θ=，则角θ所对的弦长等于（ ） A.8 B.10 C.82 D.169、一支长为13cm 的金属筷子（粗细忽略不计），放入一个长、宽、高分别是4cm 、3cm 、16cm 的长方体水槽中，那么水槽至少要放进（ ）深的水才能完全淹没筷子。
绵阳自主招生试题及答案
绵阳自主招生试题及答案一、选择题（每题4分，共40分）1. 下列哪项是绵阳市的著名景点？A. 峨眉山B. 乐山大佛C. 九寨沟D. 绵阳科技城答案：D2. 绵阳市位于中国哪个省份？A. 四川省B. 重庆市C. 贵州省D. 云南省答案：A3. 以下哪个选项不是绵阳市的特产？A. 绵阳米粉B. 郫县豆瓣C. 绵阳香肠D. 绵阳豆腐干答案：B4. 绵阳市的市花是什么？A. 桂花B. 牡丹C. 月季D. 菊花5. 绵阳市的市树是什么？A. 银杏B. 松树C. 柳树D. 樟树答案：A6. 以下哪个成语与绵阳市无关？A. 一马平川B. 风调雨顺C. 金戈铁马D. 春暖花开答案：C7. 绵阳市的气候类型是什么？A. 亚热带季风气候B. 温带季风气候C. 热带雨林气候D. 寒带气候答案：A8. 绵阳市的人口数量是多少？A. 500万B. 300万C. 200万D. 100万答案：B9. 绵阳市的市标是什么？B. 龙C. 虎D. 鹰答案：A10. 绵阳市的市歌是什么？A. 《绵阳之歌》B. 《绵阳之光》C. 《绵阳之梦》D. 《绵阳之春》答案：A二、填空题（每题3分，共30分）1. 绵阳市的简称是________。
答案：绵2. 绵阳市的行政区划代码是________。
答案：5107003. 绵阳市的市花是________。
答案：桂花4. 绵阳市的市树是________。
答案：银杏5. 绵阳市的市歌是________。
答案：《绵阳之歌》6. 绵阳市的市标是________。
答案：凤凰7. 绵阳市位于四川省的________方向。
答案：北部8. 绵阳市的气候类型是________。
答案：亚热带季风气候9. 绵阳市的著名景点有________。
答案：绵阳科技城10. 绵阳市的特产包括________。
答案：绵阳米粉三、简答题（每题10分，共30分）1. 请简述绵阳市的地理位置。
答案：绵阳市位于四川省北部，地处四川盆地西北部，东邻遂宁市，南接德阳市，西靠阿坝藏族羌族自治州，北与甘肃省接壤。
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数学素质考查卷一.选择题：（本大题共12个小题，每个4分，共48分，将所选答案填涂在机读卡上）1、下列因式分解中，结果正确的是（）A.B.C.D.2、“已知二次函数的图像如图所示，试判断与0的大小.”一同学是这样回答的：“由图像可知：当时，所以.”他这种说明问题的方式体现的数学思想方法叫做（）A.换元法B.配方法C.数形结合法D.分类讨论法3、已知实数满足，则的值是（）A.-2B.1C.-1或2D.-2或14、若直线与反比例函数的图像交于点，则反比例函数的图像还必过点（）A. (-1,6)B.(1,-6)C.(-2,-3) D.(2,12)5、现规定一种新的运算：“*”：，那么＝（）A.B.5C.3D.96、一副三角板，如图所示叠放在一起，则＝（）A.180°B.150°C.160°D.1 70°7、某中学对2005年、2006年、2007年该校住校人数统计时发现，2006年比2005年增加20%，2007年比2006年减少20%，那么2007年比2005年（）A.不增不减B.增加4％C.减少4％ D.减少2％8、一半径为8的圆中，圆心角θ为锐角，且，则角θ所对的弦长等于（）A.8B.10C.D.169、一支长为13cm的金属筷子（粗细忽略不计），放入一个长、宽、高分别是4cm、3cm、16cm的长方体水槽中，那么水槽至少要放进（）深的水才能完全淹没筷子。
A.13cmB.cm C.12cm D.cm10、如图，张三同学把一个直角边长分别为3cm,4cm的直角三角形硬纸板，在桌面上翻滚（顺时针方向），顶点A的位置变化为，其中第二次翻滚时被桌面上一小木块挡住，使纸板一边与桌面所成的角恰好等于，则翻滚到位置时共走过的路程为（）A.cm B.cm C.cm D.11、一辆汽车从甲地开往乙地，开始以正常速度匀速行驶，但行至途中汽车出了故障，只好停下修车，修好后，为了按时到达乙地，司机加快了行驶速度并匀速行驶。
下面是汽车行驶路程S(千米)关于时间t(小时)的函数图象，那么能大致反映汽车行驶情况的图像是（）A B CD12、由绵阳出发到成都的某一次列车，运行途中须停靠的车站依次是：绵阳→罗江→黄许→德阳→广汉→清白江→新都→成都.那么要为这次列车制作的车票一共有（）A.7种B.8种C.56种 D.28种二. 填空题（共6个小题，每个小题4分，共24分。
将你所得答案填在答卷上）13、根据图中的抛物线可以判断：当________时，的增大而减小；当________时，有最小值。
14、函数中，自变量的取值范围是__________.15、如图，在圆中，直径是上半圆上的两个动点。
弦与交于点，则＝____________.16、下图是用火柴棍摆放的1个、2个、3个……六边形，那么摆100个六边形，需要火柴棍______根。
17、在平面直角坐标系中，平行四边形四个顶点中，有三个顶点坐标分别是（-2，5），（-3，-1），（1，-1），若另外一个顶点在第二象限，则另外一个顶点的坐标是_______________.18、参加保险公司的汽车保险，汽车修理费是按分段赔偿，具体赔偿细则如下表。
某人在汽车修理后在保险公司得到的赔偿金额是2000元，那么此人的汽修理费是________元.汽车修理费赔偿率元60％50050070％1000100080％3000…………三.解答题（共7个小题，满分78分，将解题过程写在答卷上）19、（10分）先化简，再求值：，其中.20、（10分）在中，.以为底作等腰直角，是的中点，求证：.21、(10分)绵阳中学为了进一步改善办学条件，决定计划拆除一部分旧校舍，建造新校舍。
拆除旧校舍每平方米需80元，建造新校舍每平方米需要800元，计划在年内拆除旧校舍与建造新校舍共9000平方米，在实施中为扩大绿化面积，新建校舍只完成了计划的90％而拆除旧校舍则超过了计划的10％，结果恰好完成了原计划的拆、建总面积。
（1）求原计划拆、建面积各是多少平方米？（2）若绿化1平方米需要200元，那么把在实际的拆、建工程中节余的资金全部用来绿化，可绿化多少平方米？22、（10分）已知直线与轴的负半轴交于点，直线与轴交于点，与轴交于点，（是坐标原点），两条直线交于点.（1）求的值及点的坐标；（2）求四边形的面积.23、（12分）如图：已知是圆的直径，是圆的弦，圆的割线垂直于于点，交于点（1）求证：是圆的切线；（2）请你再添加一个条件，可使结论成立,说明理由。
（3）在满足以上所有的条件下，求的值。
24、（12分）如图，菱形的边长为12cm，＝60，点从点出发沿线路做匀速运动，点从点同时出发沿线路做匀速运动.（1）已知点运动的速度分别为2cm/秒和2.5cm/秒，经过12秒后，分别到达两点，试判断的形状，并说明理由；（2）如果（1）中的点有分别从同时沿原路返回，点的速度不变，点的速度改为cm/秒，经过3秒后，分别到达两点，若与题（1）中的相似，试求的值.25、（14分）在中，的长分别是，且.（1）求证：；（2）若＝2，抛物线与直线交于点和点，且的面积为6（是坐标原点）.求的值；（3）若，抛物线与轴的两个交点中，一个交点在原点的右侧，试判断抛物线与轴的交点是在轴的正半轴还是负半轴，说明理由.英语素质考查卷（120分钟）I卷I.听力（共20小题；每小题1.5分，满分30分 )第一节：听下面5段对话。
每段对话后有一个小题，从题中所给的A，B，C 三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒中的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.When should the woman go to the zoo according to the man?A. On Sunday afternoon.B.On Saturdayafternoon. C. On a week day.2.Where are the two speakers?A. In a hotelB. At a dinnertable C. In the street.3.What are the two speakers?A.A bus driver and a passenger.B.A policeman and a driver.C.A taxi driver and a passenger.4.What will the weather be like on Thursday?A.Rainy.B.Fine.C.Cold.5.What does the man suggest?e back for a later show.B.Wait in aqueue. e back in five minutes.第二节：听下面5段对话或独白。
每段对话或独白后有几个小题，从每题所给的A，B，C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话或独白前，你将有时间阅读各小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料，回答第6至8题。
6.What does the man first invite the woman to do?A. Go shopping.B. Go swimming.C. Go to the cinema.7.When will the two speakers go out for supper together?A. On Friday evening.B. On Saturday evening.C. On Sunday evening.8.When and where will the man pick up the woman?A. At seven at her house.B. At six at herhouse. C. At five at her office.听第7段材料，回答第9至11题。
9.What is the possible relationship between the two speakers?A. They are friends.B.They are strangers.C.They are workers in the same company.10.Where is Jim going?A.Going to the cinema.B.Goinghome. C.Going to watch TV.11.What time of the day do you think it is?A.In the morning.B.Atnoon. C.In the evening.听第8段材料，回答第12至14题。
12.Why hasn’t Kat seen John recently?A.He went on camping.B.He was visiting his brother.C.He’s been studying.13.Why did Kate suggest John camping?A.John can get in touch with the nature.B.John can have a good rest.C.John can go to many parks.14.What did John think of camping?A.Camping was very expensive.。