苏州市景范中学202018-2019-22018-2019年第一学期
苏州市景范中学初二数学上册期中试卷(含答案解析)
苏州市景范中学2019初二数学上册期中试卷(含答案解析)苏州市景范中学2019初二数学上册期中试卷(含答案解析) 一、选择题（共8小题，每小题2分，满分16分）1．下面的图形中，不是轴对称图形的是（）A．B．C．D．2．下列计算正确的是（）A．B．C．D．3．如果把的x与y都扩大10倍，那么这个代数式的值（）A．不变B．扩大50倍C．扩大10倍D．缩小到原来的4．设，a在两个相邻整数之间，则这两个整数是（）A．1和2 B．2和3 C．3和4 D．4和55．如图，DE是△ABC中边AC的垂直平分线，若BC=18cm，AB=10cm，则△ABD的周长为（）A．16 cm B．28 cm C．26 cm D．18 cm6．如图，△ABC内有一点D，且DA=DB=DC，若∠DAB=20°，∠DAC=30°，则∠BDC的大小是（）A．100° B．80° C．70° D．50°7．如图所示，已知△ABC中，AB=6，AC=9，AD⊥BC于D，M为AD上任一点，则MC2﹣MB2等于（）A．9 B．35 C．45 D．无法计算8．已知：如图在△ABC，△ADE中，∠BAC=∠DAE=90°，AB=AC，AD=AE，点C，D，E三点在同一条直线上，连接BD，BE．以下四个结论：①BD=CE；②BD⊥CE；③∠ACE+∠DBC=45°；④BE2=2（AD2+AB2），其中结论正确的个数是（）A．1 B．2 C．3 D．4二、填空题（共10小题，每小题2分，满分20分）9．的算术平方根是，﹣64的立方根是．10．已知分式，当x=2时，分式无意义，则a=．11．5.6048（保留三个有效数字），近似数7.02×105精确到位．12．已知，则=．13．若等腰三角形的一个外角是110°，则其底角为．14．如果b＜0，那么化简|b﹣|的结果是．15．如图，直线l过正方形ABCD的顶点B，点A，C到直线l的距离分别是1和2，则正方形ABCD的面积是．16．如图，△ABC中，D为AB中点，E在AC上，且BE⊥AC．若DE=10，AE=16，则BE的长度为．17．把图一的矩形纸片ABCD折叠，B、C两点恰好重合落在AD边上的点P处（如图二）．已知∠MPN=90°，PM=3，PN=4，那么矩形纸片ABCD的面积为．18．如图，在△ABC中，∠BAC=90°，AB=3，AC=4，AD平分∠BAC 交BC于D，则BD的长为．三、解答题（共9小题，满分64分）19．计算：（1）+ ﹣（﹣）2（2）| |+|1﹣|+（1﹣）20．先化简，再求值：，其中x是不等式组的整数解．21．如图，在长度为1个单位长度的小正方形组成的正方形中，点A、B、C在小正方形的顶点上．（1）在图中画出与△ABC关于直线l成轴对称的△AB′C′；（2）五边形ACBB′C′的周长为；（3）四边形ACBB′的面积为；（4）在直线l上找一点P，使PB+PC的长最短，则这个最短长度为．22．如图，AB=CB，BE=BF，∠1=∠2，证明：△ABE≌△CBF．23．如图，在四边形ABCD中，AD∥BC，DE⊥BC，垂足为点E，连接AC交DE于点F，点G为AF的中点，∠ACD=2∠ACB．（1）证明：DC=DG；（2）若DG=5，EC=2，求DE的长．24．如图，已知直线m⊥直线n于点O，点A到m、n的距离相等，在直线m或n上确定一点P，使△OAP为等腰三角形．试回答：（1）符合条件的点P共有个；（2）若符合条件的点P在直线m上，请直接写出∠OAP的所有可能的度数．25．如图，等边△ABC中，AO是∠BAC的角平分线，D为AO上一点，以CD为一边且在CD下方作等边△CDE，连接BE．（1）求证：△ACD≌△BCE；（2）延长BE至Q，P为BQ上一点，连接CP、CQ使CP=CQ=5，若BC=8时，求PQ的长．26．如图，在△ABC中，AC=BC，∠ACB=90°，CD为边AB上的中线，E是边CA上任意一点，DF⊥DE，交BC于F点．G为EF的中点，连接CG并延长交AB于点H．（1）说明：AE=CF；（2）连接DG，说明：CG=GD；（3）若AE=1，CH=4，求边AC的长．27．如图，△ABC中，∠C=90°，AB=10cm，BC=6cm，若动点P从点C开始，按C→A→B→C的路径运动，且速度为每秒1cm，设出发的时间为t秒．（1）出发2秒后，求△ABP的周长．（2）问t为何值时，△BCP为等腰三角形？（3）另有一点Q，从点C开始，按C→B→A→C的路径运动，且速度为每秒2cm，若P、Q两点同时出发，当P、Q中有一点到达终点时，另一点也停止运动．当t为何值时，直线PQ把△ABC的周长分成相等的两部分？苏州市景范中学2019初二数学上册期中试卷(含答案解析)参考答案与试题解析一、选择题（共8小题，每小题2分，满分16分）1．下面的图形中，不是轴对称图形的是（）A．B．C．D．考点：轴对称图形．分析：根据轴对称图形的概念求解．解答：解：A、是轴对称图形，故错误；B、是轴对称图形，故错误；C、不是轴对称图形，故正确；D、是轴对称图形，故错误．故选C．点评：本题考查了轴对称图形的概念：轴对称图形的关键是寻找对称轴，图形两部分沿对称轴折叠后可重合．2．下列计算正确的是（）A．B．C．D．考点：算术平方根．分析：求出每个式子的值，再判断即可．解答：解：A、= = ，故本选项正确；B、= = ，故本选项错误；C、=0.5，故本选项错误；D、没有意义，故本选项错误；故选A．点评：本题考查了算术平方根的应用，主要考查学生的计算能力．关键是求出a的值，注意：一个正数有两个平方根，它们互为相反数．3．如果把的x与y都扩大10倍，那么这个代数式的值（）A．不变B．扩大50倍C．扩大10倍D．缩小到原来的考点：分式的基本性质．专题：计算题；压轴题．分析：依题意分别用10x和10y去代换原分式中的x和y，利用分式的基本性质化简即可．解答：解：分别用10x和10y去代换原分式中的x和y，得= = ，可见新分式与原分式的值相等；故选A．点评：本题考查了分式的基本性质．解题的关键是抓住分子、分母变化的倍数，解此类题首先把字母变化后的值代入式子中，然后约分，再与原式比较，最终得出结论．4．设，a在两个相邻整数之间，则这两个整数是（）A．1和2 B．2和3 C．3和4 D．4和5考点：估算无理数的大小．专题：计算题．分析：先对进行估算，再确定是在哪两个相邻的整数之间，然后计算介于哪两个相邻的整数之间．解答：解：∵16＜19＜25，∴4＜＜5，∴3＜﹣1＜4，∴3＜a＜4，∴a在两个相邻整数3和4之间；故选C．点评：此题主要考查了估算无理数的大小，注意首先估算无理数的值，再根据不等式的性质进行计算．现实生活中经常需要估算，估算应是我们具备的数学能力，“夹逼法”是估算的一般方法，也是常用方法．5．如图，DE是△ABC中边AC的垂直平分线，若BC=18cm，AB=10cm，则△ABD的周长为（）A．16 cm B．28 cm C．26 cm D．18 cm考点：线段垂直平分线的性质．分析：根据线段垂直平分线上的点到线段两端点的距离相等可得AD=CD，然后求出△ABD的周长=AB+BC，代入数据进行计算即可得解．解答：解：∵DE是AC的垂直平分线，∴AD=CD，∴△ABD的周长=AB+BD+AD=AB+BD+CD=AB+BC，∵BC=18cm，AB=10cm，∴△ABD的周长=18+10=28cm．故选B．点评：本题主要考查了线段垂直平分线上的点到线段两端点的距离相等的性质，把△ABD的周长转化为AB、BC的和是解题的关键．6．如图，△ABC内有一点D，且DA=DB=DC，若∠DAB=20°，∠DAC=30°，则∠BDC的大小是（）A．100° B．80° C．70° D．50°考点：三角形的外角性质；三角形内角和定理．分析：如果延长BD交AC于E，由三角形的一个外角等于与它不相邻的两个内角的和，得∠BDC=∠DEC+∠ECD，∠DEC=∠ABE+∠BAE，所以∠BDC=∠ABE+∠BAE+∠ECD，又DA=DB=DC，根据等腰三角形等边对等角的性质得出∠ABE=∠DAB=20°，∠ECD=∠DAC=30°，进而得出结果．解答：解：延长BD交AC于E．∵DA=DB=DC，∴∠ABE=∠DAB=20°，∠ECD=∠DAC=30°．又∵∠BAE= ∠BAD+∠DAC=50°，∠BDC=∠DEC+∠ECD，∠DEC=∠ABE+∠BAE，∴∠BDC=∠ABE+∠BAE+∠ECD=20°+50°+30°=100°．故选A．点评：本题考查三角形外角的性质及等边对等角的性质，解答的关键是沟通外角和内角的关系．7．如图所示，已知△ABC中，AB=6，AC=9，AD⊥BC于D，M为AD上任一点，则MC2﹣MB2等于（）A．9 B．35 C．45 D．无法计算考点：勾股定理．分析：在RT△ABD及ADC中可分别表示出BD2及CD2，在RT △BDM及CDM中分别将BD2及CD2的表示形式代入表示出BM2和MC2，然后作差即可得出结果．解答：解：在RT△ABD和RT△ADC中，BD2=AB2﹣AD2，CD2=AC2﹣AD2，在RT△BDM和RT△CDM中，BM2=BD2+MD2=AB2﹣AD2+MD2，MC2=CD2+MD2=AC2﹣AD2+MD2，∴MC2﹣MB2=（AC2﹣AD2+MD2）﹣（AB2﹣AD2+MD2）=AC2﹣AB2=45．故选C．点评：本题考查了勾股定理的知识，题目有一定的技巧性，比较新颖，解答本题需要认真观察，分别两次运用勾股定理求出MC2和MB2是本题的难点，重点还是在于勾股定理的熟练掌握．8．已知：如图在△ABC，△ADE中，∠BAC=∠DAE=90°，AB=AC，AD=AE，点C，D，E三点在同一条直线上，连接BD，BE．以下四个结论：①BD=CE；②BD⊥CE；③∠ACE+∠DBC=45°；④BE2=2（AD2+AB2），其中结论正确的个数是（）A．1 B．2 C．3 D．4考点：全等三角形的判定与性质；勾股定理；等腰直角三角形．专题：证明题．分析：①由AB=AC，AD=AE，利用等式的性质得到夹角相等，利用SAS得出三角形ABD与三角形ACE全等，由全等三角形的对应边相等得到BD=CE；②由三角形ABD与三角形ACE全等，得到一对角相等，再利用等腰直角三角形的性质及等量代换得到BD垂直于CE；③由等腰直角三角形的性质得到∠ABD+∠DBC=45°，等量代换得到∠ACE+∠DBC=45°；④由BD垂直于CE，在直角三角形BDE中，利用勾股定理列出关系式，等量代换即可作出判断．解答：解：①∵∠BAC=∠DAE=90°，∴∠BAC+∠CAD=∠DAE+∠CAD，即∠BAD=∠CAE，∵在△BAD和△CAE中，∴△BAD≌△CAE（SAS），∴BD=CE，故①正确；②∵△BAD≌△CAE，∴∠ABD=∠ACE，∵∠ABD+∠DBC=45°，∴∠ACE+∠DBC=45°，∴∠DBC+∠DCB=∠DBC+∠ACE+∠ACB=90°，则BD⊥CE，故②正确；③∵△ABC为等腰直角三角形，∴∠ABC=∠ACB=45°，∴∠ABD+∠DBC=45°，∵∠ABD=∠ACE∴∠ACE+∠DBC=45°，故③正确；④∵BD⊥CE，∴在Rt△BDE中，利用勾股定理得：BE2=BD2+DE2，∵△ADE为等腰直角三角形，∴DE= AD ，即DE2=2AD2，∴BE2=BD2+DE2=BD2+2AD2，而BD2≠2AB2，故④错误，综上，正确的个数为3个．故选：C．点评：此题考查了全等三角形的判定与性质，勾股定理，以及等腰直角三角形的性质，熟练掌握全等三角形的判定与性质是解本题的关键．二、填空题（共10小题，每小题2分，满分20分）9．的算术平方根是，﹣64的立方根是﹣4．考点：算术平方根；立方根．分析：根据算术平方根及立方根的定义进行求解即可．解答：解：的算术平方根是，﹣64的立方根是﹣4；故答案为：，﹣4．点评：此题考查了算术平方根与立方根，一个正数有两个平方根，它们互为相反数，正数是它的算术平方根；0的平方根是0；负数没有平方根．立方根的性质：一个正数的立方根式正数，一个负数的立方根是负数，0的立方根式0．10．已知分式，当x=2时，分式无意义，则a=6．考点：分式有意义的条件．分析：根据分式无意义，分母等于0，把x=2代入分母，解关于a 的方程即可．解答：解：∵当x=2时，分式无意义，∴x2﹣5x+a=22﹣5×2+a=0，解得a=6．故答案为：6．点评：本题考查的知识点为：分式无意义，分母为0．11．5.6048（保留三个有效数字） 5.60，近似数7.02×105精确到千位．考点：近似数和有效数字．分析：根据近似数的精确度和有效数字的定义把5.6048的千分位上的数字4进行四舍五入即可；由于近似数7.02×105数字2在千位上，则近似数7.02×105精确到千位．解答：解：5.6048≈5.60（保留三个有效数字）；近似数7.02×105精确到千位．故答案为5.60；千．点评：本题考查了近似数和有效数字：经过四舍五入得到的数叫近似数；从一个近似数左边第一个不为0的数数起到这个数完为止，所有数字都叫这个数的有效数字．12．已知，则=．考点：分式的基本性质．专题：计算题．分析：首先设恒等式等于某一常数，然后得到x、y、z与这一常数的关系式，将各关系式代入求值．解答：解：设=k，则x=2k，y=3k，z=4k，则= = = ．故答案为．点评：本题主要考查分式的基本性质，设出常数是解题的关键．13．若等腰三角形的一个外角是110°，则其底角为70°或55°．考点：等腰三角形的性质．专题：分类讨论．分析：分这个外角为底角的外角和顶角的外角，分别求解即可．解答：解：当110°外角为底角的外角时，则其底角为：180°﹣110°=70°；当110°外角为顶角的外角时，则其顶角为：70°，则其底角为：=55°，故答案为：70°或55°．点评：本题主要考查等腰三角形的性质和三角形内角和定理的应用，掌握等腰三角形的两底角相等和三角形三个内角的和为180°是解题的关键．14．如果b＜0，那么化简|b﹣|的结果是﹣2b．考点：算术平方根；绝对值．分析：根据二次根式的性质，可得=﹣b，b＜0，再根据绝对值的意义，可得答案．解答：解；b＜0，|b﹣|=|b﹣（﹣b）|=b+b|=﹣2b，故答案为：﹣2b．点评：本题考查了算术平方根，利用了算术平方根的意义，绝对值的意义．15．如图，直线l过正方形ABCD的顶点B，点A，C到直线l的距离分别是1和2，则正方形ABCD的面积是5．考点：全等三角形的判定与性质；勾股定理；正方形的性质．分析：根据正方形性质得出AD=CD，∠ADC=90°，求出∠EAD=∠FDC，证△AED≌△DFC，求出DE=CF=2，在Rt△AED 中，由勾股定理求出AD，即可求出正方形的面积．解答：解：∵四边形ABCD是正方形，∴AD=CD，∠ADC=90°，∵AE⊥EF，CF⊥EF，∴∠AED=∠DFC=90°，∴∠ADE+∠CDF=180°﹣90°=90°，∠ADE+∠EAD=90°，∴∠EAD=∠CDF，在△AED和△DFC中，∴△AED≌△DFC（AAS），∴DE=CF=2，在Rt△AED中，由勾股定理得：AD= = ，即正方形ABCD的面积是5，故答案为：5．点评：本题考查了正方形性质，全等三角形的性质和判定，勾股定理的应用，关键是求出DE=CF，主要考查学生分析问题和解决问题的能力，题型较好，难度适中．16．如图，△ABC中，D为AB中点，E在AC上，且BE⊥AC．若DE=10，AE=16，则BE的长度为12．考点：勾股定理；直角三角形斜边上的中线．分析：根据直角三角形斜边上的中线等于斜边的一半可得AB=2DE，再利用勾股定理列式计算即可得解．解答：解：∵BE⊥AC，D为AB中点，∴AB=2DE=2×10=20，在Rt△ABE中，BE= = =12．故答案为：12．点评：本题考查了勾股定理，直角三角形斜边上的中线等于斜边的一半的性质，熟记性质与定理是解题的关键．17．把图一的矩形纸片ABCD折叠，B、C两点恰好重合落在AD边上的点P处（如图二）．已知∠MPN=90°，PM=3，PN=4，那么矩形纸片ABCD的面积为．考点：翻折变换（折叠问题）．专题：压轴题．分析：利用折叠的性质和勾股定理可知．解答：解：由勾股定理得，MN=5，设Rt△PMN的斜边上的高为h，由矩形的宽AB也为h，根据直角三角形的面积公式得，h=PM?PN÷MN= ，由折叠的性质知，BC=PM+MN+PN=12，∴矩形的面积=AB?BC= ．点评：本题利用了：①折叠的性质：折叠是一种对称变换，它属于轴对称，根据轴对称的性质，折叠前后图形的形状和大小不变，位置变化，对应边和对应角相等；②勾股定理，直角三角形和矩形的面积公式求解．18．如图，在△ABC中，∠BAC=90°，AB=3，AC=4，AD平分∠BAC 交BC于D，则BD的长为．考点：角平分线的性质；等腰直角三角形．分析：过点D作DE⊥AB于E，根据角平分线上的点到角的两边距离相等可得点D到AC的距离也等于DE，然后利用△ABC的面积列方程求出DE，再判断出△ADE 是等腰直角三角形，根据等腰直角三角形的性质求出AE，再求出BE，然后利用勾股定理列式计算即可得解．解答：解：如图，过点D作DE⊥AB于E，∵AD平分∠BAC，∴点D到AC的距离也等于DE，∴S△ABC= ×3?DE+ ×4?DE= ×3×4，解得DE= ，∵AD平分∠BAC，∠BAC=90°，∴∠DAE=45°，∴△ADE是等腰直角三角形，∴AE=DE= ，∴BE=3﹣= ，在Rt△BDE中，BD= = = ．故答案为：．点评：本题考查了角平分线上的点到角的两边距离相等的性质，等腰直角三角形的判定与性质，勾股定理，熟记各性质并作辅助线构造出等腰直角三角形是解题的关键．三、解答题（共9小题，满分64分）19．计算：（1）+ ﹣（﹣）2（2）| |+|1﹣|+（1﹣）考点：实数的运算．专题：计算题．分析：（1）原式利用平方根及立方根定义计算即可得到结果；（2）原式利用绝对值的代数意义化简，合并即可．解答：解：（1）原式=11﹣3﹣5=3；（2）原式= ﹣+ ﹣1+1﹣=0．点评：此题考查了实数的运算，熟练掌握运算法则是解本题的关键．20．先化简，再求值：，其中x是不等式组的整数解．考点：分式的化简求值；一元一次不等式组的整数解．专题：计算题．分析：将原式括号中的第一项分母利用平方差公式分解因式，然后找出两分母的最简公分母，通分并利用同分母分式的减法法则计算，分子进行合并整理，同时将除式的分母利用完全平方公式分解因式，然后利用除以一个数等于乘以这个数的倒数将除法运算化为乘法运算，约分后即可得到结果，分别求出x满足的不等式组两个一元一次不等式的解集，找出两解集的公共部分确定出不等式组的解集，在解集中找出整数解，即为x的值，将x的值代入化简后的式子中计算，即可得到原式的值．解答：解：（﹣）÷又，由①解得：x＞﹣4，由②解得：x＜﹣2，∴不等式组的解集为﹣4＜x＜﹣2，其整数解为﹣3，当x=﹣3时，原式= =2．点评：此题考查了分式的化简求值，以及一元一次不等式的解法，分式的加减运算关键是通分，通分的关键是找最简公分母；分式的乘除运算关键是约分，约分的关键是找公因式，约分时分式的分子分母是多项式，应先将多项式分解因式后再约分．21．如图，在长度为1个单位长度的小正方形组成的正方形中，点A、B、C在小正方形的顶点上．（1）在图中画出与△ABC关于直线l成轴对称的△AB′C′；（2）五边形ACB B′C′的周长为 4 +2 +2；（3）四边形ACBB′的面积为7；（4）在直线l上找一点P，使PB+PC的长最短，则这个最短长度为．考点：作图-轴对称变换；轴对称-最短路线问题．分析：（1）根据轴对称的性质，可作出△ABC关于直线l成轴对称的△AB′C′；（2）由勾股定理即可求得AC与BC的长，由对称性，可求得其它边长，继而求得答案；（3）由S△ABC=S梯形AEFB﹣S△AEC﹣S△BCF，可求得△ABC的面积，易求得△ABB′的面积，继而求得答案；（4）由点B′是点B关于l的对称点，连接B′C，交l于点P，然后由B′C的长即可．解答：解：（1）如图：△AB′C′即为所求；（2）∵A C′=AC= =2 ，BC=BC′= = ，BB′=2，∴五边形ACBB′C′的周长为：2×2 +2× +2=4 +2 +2；故答案为：4 +2 +2；（3）如图，S△ABC=S梯形AEFB﹣S△AEC﹣S△BCF= ×（1+2）×4﹣×2×2﹣×2×1=3，S△ABB′= ×2×4=4，∴S四边形ACBB′=S△ABC+S△ABB′=3+4=7．故答案为：7；（4）如图，点B′是点B关于l的对称点，连接B′C，交l于点P，此时PB+PC的长最短，∴P B=PB′，∴PB+PC=PB′+PC=B′C= = ．故答案为：．点评：此题考查了轴对称变换、三角形的面积以及勾股定理．此题难度适中，注意掌握数形结合思想的应用．22．如图，AB=CB，BE=BF，∠1=∠2，证明：△ABE≌△CBF．考点：全等三角形的判定．专题：证明题．分析：利用∠1=∠2，即可得出∠ABE=∠CBF，再利用全等三角形的判定SAS得出即可．解答：证明：∵∠1=∠2，∴∠1+∠FBE=∠2+∠FBE，即∠ABE=∠CBF，在△ABE与△CBF中，∴△ABE≌△CBF（SAS）．点评：本题考查三角形全等的判定方法，判定两个三角形全等的一般方法有：SSS、SAS、ASA、AAS、HL．注意：AAA、SSA不能判定两个三角形全等，判定两个三角形全等时，必须有边的参与，若有两边一角对应相等时，角必须是两边的夹角．23．如图，在四边形ABCD中，AD∥BC，DE⊥BC，垂足为点E，连接AC交DE于点F，点G为AF的中点，∠ACD=2∠ACB．（1）证明：DC=DG；（2）若DG=5，EC=2，求DE的长．考点：直角三角形斜边上的中线；等腰三角形的判定与性质；勾股定理．分析：（1）根据直角三角形斜边上的中线的性质可得DG=AG，根据等腰三角形的性质可得∠GAD=∠GDA，根据三角形外角的性质可得∠CGD=2∠GAD，再根据平行线的性质和等量关系可得∠ACD=∠CGD，根据等腰三角形的性质可得CD=DG；（2）根据勾股定理即可求解．解答：（1）证明：∵DE⊥BC，∴∠DEB=90°，∵AD∥BC，∴∠ADE+∠DEB=180°，∴∠ADE=90°，∵G为AF的中点，∴DG=AG，∴∠DAF=∠ADG，∴∠DGC=∠DAF+∠ADG=2∠DAC，∵AD∥BC，∴∠ACB=∠DAC，∵∠ACD=2∠ACB，∴∠DGC=∠DCA，∴DC=DG；（2）解：∵在Rt△DEC中，∠DEC=90°，DG=DC=5，CE=2，∴由勾股定理得：DE= = ．点评：本题考查了勾股定理，直角三角形斜边上中线性质，直角三角形的性质的应用，解此题的关键是求出DG=DC，注意：直角三角形斜边上的中线等于斜边的一半．24．如图，已知直线m⊥直线n于点O，点A到m、n的距离相等，在直线m或n上确定一点P，使△OAP为等腰三角形．试回答：（1）符合条件的点P共有8个；（2）若符合条件的点P在直线m上，请直接写出∠OAP的所有可能的度数．考点：等腰三角形的判定．分析：（1）分别以点O、A为圆心，以OA的长为半径画圆，与直线相交六点，再连接两圆的交点，与直线相交于两点；（2）连接AP，根据等腰三角形的性质即可得出结论．解答：解：（1）如图所示．故答案为：8个；（2）如图所示：22.5°，90°，67.5°，45°．点评：本题考查的是等腰三角形的判定，熟知如果一个三角形有两个角相等，那么这两个角所对的边也相等是解答此题的关键．25．如图，等边△ABC中，AO是∠BAC的角平分线，D为AO上一点，以CD为一边且在CD下方作等边△CDE，连接BE．（1）求证：△ACD≌△BCE；（2）延长BE至Q，P为BQ上一点，连接CP、CQ使CP=CQ=5，若BC=8时，求PQ的长．考点：全等三角形的判定与性质；等边三角形的性质；含30度角的直角三角形；勾股定理．专题：几何综合题；压轴题．分析：（1）由△ABC与△DCE是等边三角形，可得AC=BC，DC=EC，∠ACB=∠DCE=60°，又由∠ACD+∠DCB=∠ECB+∠DCB=60°，即可证得∠ACD=∠BCE，所以根据SAS即可证得△ACD≌△BCE；（2）首先过点C作CH⊥BQ于H，由等边三角形的性质，即可求得∠DAC=30°，则根据等腰三角形与直角三角形中的勾股定理即可求得PQ的长．解答：（1）证明：∵△ABC与△DCE是等边三角形，∴AC=BC，DC=EC，∠ACB=∠DCE=60°，∴∠ACD+∠DCB=∠ECB+∠DCB=60°，∴∠ACD=∠BCE，∴△ACD≌△BCE（SAS）；（2）解：过点C作CH⊥BQ于H，∵△ABC是等边三角形，AO是角平分线，∴∠DAC=30°，∵△ACD≌△BCE，∴∠PBC=∠DAC=30°，∴在Rt△BHC中，CH= BC= ×8=4，∵PC=CQ=5，CH=4，∴PH=QH=3，∴PQ=6．点评：此题考查了全等三角形的判定与性质，等腰三角形、等边三角形以及直角三角形的性质等知识．此题综合性较强，但难度不大，解题时要注意数形结合思想的应用．26．如图，在△ABC中，AC=BC，∠ACB=90°，CD为边AB上的中线，E是边CA上任意一点，DF⊥DE，交BC于F点．G为EF的中点，连接CG并延长交AB于点H．（1）说明：AE=CF；（2）连接DG，说明：CG=GD；（3）若AE=1，CH=4，求边AC的长．考点：全等三角形的判定与性质；勾股定理；等腰直角三角形．分析：（1）通过全等三角形（△AED≌△CFD）的对应边相等证得AE=CF；（2）根据Rt△ECF和Rt△EDF斜边上中线的性质来证明CG=GD；（3）求出EF的长是4，在Rt△ECF中，CF=1，根据勾股定理求出EC，即可求出AC．解答：解：（1）证明：∵∠ACB=90°，AC=BC，∴∠A=∠B=45°，∵CD为AB边上的中线，∴CD⊥AB，AD=CD=BD，∴∠DCB=∠B=45°，∴∠A=∠DCB，即∠A=∠DCF，∵DF⊥DE，∴∠ADE+∠EDC=90°，∠CDF+∠EDC=90°，∴∠ADE=∠CDF，在△AED和△CFD中，∴△AED≌△CFD（ASA），∴AE=CF；（2）∵∠ACB=90°，G为EF的中点，∴CG= EF，∵DF⊥DE，G为EF的中点，∴GD= EF，∴CG=GD；（3）∵AC=BC，CD是AB边上的中线，∴CD⊥AB，∴∠CDA=90°，∴∠CHD+∠DCH=90°，∠CDG+∠HDG=90°，∵CG=DG，∴∠CDG=∠GCD，∴∠GDH=∠GHD，∴DG=GH，∴CG=GH= CH=2，∵G为EF的中点，∴DG= EF，∴EF=4，∵AE=1，∴CF=AE=1，在Rt△ECF中，由勾股定理得：CE= ，∴AC=CE+AE= +1．点评：本题考查了等腰直角三角形的性质、全等三角形的判定与性质、直角三角形斜边上1的中线性质以及勾股定理等知识的综合运用，考查学生综合运用定理进行推理和计算的能力．27．如图，△ABC中，∠C=90°，AB=10cm，BC=6cm，若动点P从点C开始，按C→A→B→C的路径运动，且速度为每秒1cm，设出发的时间为t秒．（1）出发2秒后，求△ABP的周长．（2）问t为何值时，△BCP为等腰三角形？（3）另有一点Q，从点C开始，按C→B→A→C的路径运动，且速度为每秒2cm，若P、Q两点同时出发，当P、Q中有一点到达终点时，另一点也停止运动．当t为何值时，直线PQ把△ABC的周长分成相等的两部分？考点：等腰三角形的判定；一次函数综合题．分析：（1）利用勾股定理AC=8cm和PB=2 cm，所以求出了三角形的周长．（2）利用分类讨论的思想和等腰三角形的特点及三角形的面积求出答案．（3）利用分类讨论的思想和周长的定义求出了答案．解答：解：（1）∵∠C=90°，AB=10cm，BC=6cm，∴有勾股定理得AC=8cm，动点P从点C开始，按C→A→B→C的路径运动，且速度为每秒1cm∴出发2秒后，则CP=2cm，那么AP=6cm．∵∠C=90°，∴有勾股定理得PB=2 cm∴△ABP的周长为：AP+PB+AB=6+10+2 =（16+2 ）cm；（2）若P在边AC上时，BC=CP=6cm，此时用的时间为6s，△BCP为等腰三角形；若P在AB边上时，有两种情况：①若使BP=CB=6cm，此时AP=4cm，P运动的路程为12cm，所以用的时间为12s，故t=12s时△BCP为等腰三角形；②若CP=BC=6cm，过C作斜边AB的高，根据面积法求得高为4.8cm，根据勾股定理求得BP=7.2cm，所以P运动的路程为18﹣7.2=10.8cm，∴t的时间为10.8s，△BCP为等腰三角形；③若BP=CP时，则∠PCB=∠PBC，∵∠ACP+∠BCP=90°，∠PBC+∠CAP=90°，∴∠ACP=∠CAP，∴PA=PC∴PA=PB=5cm∴P的路程为13cm，所以时间为13s时，△BCP为等腰三角形．∴t=6s或13s或12s或10.8s 时△BCP为等腰三角形；（3）当P点在AC上，Q在AB上，则AP=8﹣t，AQ=16﹣2t，∵直线PQ把△ABC的周长分成相等的两部分，∴8﹣t+16﹣2t=12，∴t=4；当P点在AB上，Q在AC上，则AP=t﹣8，AQ=2t﹣16，∵直线PQ把△ABC的周长分成相等的两部分，∴t﹣8+2t﹣16=12，∴t=12，这个工作可让学生分组负责收集整理,登在小黑板上,每周一换。
江苏省苏州市景范中学2019届九年级上期中考试英语试题及答案
苏州市景范中学2019-2020学年第一学期初三年级英语学科期中考试试卷第I卷（选择题三大题共75分）一、听力（20分）A. 听对话回答问题本部分共有10道小题，每小题你将听到一段对话，每段对话听两遍。
( )1.What will the weather be like this weekend?A. B. C.( )2.How does Daniel learn French ?A B C( )3. When did the man start his new job?( )4. What do you think of Simon?A. He is outgoing.B. He is silly.C. He is imaginative. ( )5. What color does he like better?A. Red.B. Blue.C. Red and blue.( )6. Where are they probably talking?A. In a shopB. At homeC. In a restaurant( )7. How much should the man pay for each ticket?A. 12 dollarsB. 8 dollarsC. 6 dollars( )8. What does Lucy mean?A.The film is wonderful.B.She missed the film.C.The film is boring. ( )9. What will the man probably do?A. He will show the woman how to make tea.B. He will make coffee instead.C. He will make tea for himself.( )10.What does the man mean?A. He agrees to close the windows.B. He wants to leave the windows open.C. He wants to open the windows.听第一段对话，回答第11－12小题。
2019-2020学年苏州市景范中学校高三英语上学期期中试卷及答案
2019-2020学年苏州市景范中学校高三英语上学期期中试卷及答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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AWhat to Eat—and What to Skip—When It Comes to Takeout FoodIf the burden on your wallet doesn't bother you much, the effect your takeout habit can have on your waistline just might arouse your attention. Here's the best and worst of the lot for your belly.Steamed Vegetable Dumplings: Order This.When she orders Chinese, registered dietitian nutritionist Elisa Zied gets an order of steamed vegetable dumplings. "I often pair them with either chicken and broccoli in brown sauce（I ask for a little saucemade without sugar）or steamed shrimp dumplings," she tells us.Crab Wontons: Not That!When you deconstruct crab wontons, it's easy to see why they're a "Not That!" The inside is filled with crabmeat and cream cheese（which is just a fancy, spreadable fat）.The wonton is made of refined flour, egg and salt and the crispy（脆的）coating is a result of a deep oil bath.Peking Duck: Order This.Most of the fat from the skin flows out of the duck over the course of cooking, making this a healthier choice than most of the stir-fry dishes available. Order a side of steamed vegetables and serve it with a small scoop of brown rice. Done and done!Sweet and Sour Anything: Not That!Anything with “sweet and sour” in its title is a powerful cue that something has been deep-fried and covered in a sickly-sweet pink sauce. If you pair your selection with a side of rice, you're looking at a 1,000-calorie meal.Summer Roll: Order This.Summer rolls are steamed instead of fried—and typically filled with lean proteins and vegetables, making them a winning appetizer in our book. Pair them with an order of edamame（毛豆）and a broth-based soup for a satisfying, filling meal.Spring Roll: Not That!Spring=deep-fried, which is why we say to skip them! They're filled with fat and calories your belly doesn't need.1.What kind of cooking method should be skipped according to the text?A.Steaming.B.Stir-frying.C.Deep-frying.D.Boiling.2.Which of the following suits as a good starter for a meal?A.Chicken and broccoli.B.Steamed vegetable dumplings.C.Peking duck.D.Summer rolls.3.Where can the text be found?A.In a recipe.B.In a guidebook.C.In a science fiction.D.In a health magazine.BJapan's prime minister encouraged the decision to ban viewers, even family members, by issuing a state of emergency order in Tokyo earlier this month in response to rising COVID-19 case numbers.From the perspective of sports psychologists, an Olympics without fans is a real-life science experiment that is helping researchers and clinicians to comb through the true impact of a crowd of fans on its players—and on viewers at home. The strange circumstances under which the games are held may place unexpected pressure on some athletes. On Tuesday, superstar gymnast Simone Biles dropped out of the women's team event, telling teammates and reporters she wasn't in the right “headspace” to compete. “It's been really stressful this Olympic Games. There are a lot of different variables going into it,” Biles told the Washington Post.The 2020 Summer Olympics bears similarities and differences to other major sporting events without viewers. The English Premier League supplemented (增加) game broadcasts with crowd noise from the soccer video game FIFA 20, mixed with game audio in real time. A Taiwanese baseball team and German soccer team began populating stands with cardboard cutouts of fans, and the trend caught on internationally.Jamey Houle, the lead sports psychologist for Ohio State University Athletics and a former Al-American gymnast, says competitive athletes are trained in visualization— imagining performing a certain action or motion, such as doing a roundoff back handspring in gymnastics. Without moving a muscle, players using visualization can solidify neural (神经的) connections and activate their motor cortex (皮层). To visualize most effectively, Houle says, athletes working with sports psychologists will try to simulate as closely as possible the conditions of actual gameplay. Empty stadiums may thus have a measurable impact on players' performance. This phenomenon is grounded in a psychological concept called “social facilitation”, referring to a change in a person's performance that occurs when others are around compared to when a person is alone.4. What caused Biles to drop out of the women's team event?A. The poor physical condition.B. The absence of the audience.C. The fiercely competitive event.D. The influence of crowds of fans.5. What can be inferred from Paragraph 3?A. The Taiwanese baseball team is a success.B. The tendency mentioned is popular among some sporting events.C. The 2020 Summer Olympics is stricter in preventing the pandemic.D. The crowd noise plays a leading role in the English Premier League.6. How does Houle explain the impact of empty stadiums on players' performance?A. By doing a roundoff back handspring.B. By simulating the conditions of actual gameplay.C. By using the concept called social facilitation.D. By changing the viewers of a player.7. What message does the author mainly convey in the text?A. Athletes should be trained in visualization.B. Audience should be admitted to the Olympics.C. Social facilitation is helpful to sporting events.D. Viewers present may influence players' performance.CIn 2015, a man named Nigel Richards memorized 386, 000 words in the entireFrench Scrabble Dictionaryin just nine weeks. However, he does not speak French. Richards’ impressive feat is a useful example to show how artificial intelligence works — real AI. Both of Richard and AI take in massive amounts of data to achieve goals with unlimited memory and superman accuracy in a certain field.The potential applications for AI are extremely exciting. Because AI canoutperformhumans at routine tasks — provided the task is in one field with a lot of data — it is technically capable of replacing hundreds of millions of white and blue collar jobs in the next 15 years or so.But not every job will be replaced by AI. In fact, four types of jobs are not at risk at all. First, there are creative jobs. AI needs to be given a goal to optimize. It cannot invent, like scientists, novelists and artists can. Second, the complex, strategic jobs — executives, diplomats, economists — go well beyond the AI limitation of single-field and Big Data. Then there are the as-yet-unknown jobs that will be created by AI.Are you worried that these three types of jobs won’t employ as many people as AI will replace? Not to worry, as the fourth type is much larger: jobs where emotions are needed, such as teachers, nannies and doctors. These jobs require compassion, trust and sympathy — which AI does not have. And even if AI tried to fake it, nobodywould want a robot telling them they have cancer, or a robot to babysit their children.So there will still be jobs in the age of AI. The key then must be retraining the workforce so people can do them. This must be the responsibility not just of the government, which can provide funds, but also of corporations and those who benefit most.8. What is the main purpose of paragraph 1?A. To introduce the topic.B. To mention Nigel’s feat.C. To stress the importance of good memory.D. To suggest humans go beyond AI in memory.9. Which of the following best explains “outperform” underlined in paragraph 2?A. Be superior toB. Be equal toC. Be similar toD. Be related to10. Which of the following jobs is the most likely to be replaced?A. The writer.B. The shop assistant.C. The babysitter.D. The psychologist.11. What does the text suggest people do about job replacement of AI?A. Limit the application of AI to a certain degree.B. Get more support from the government.C. Apply for the donation from companies.D. Upgrade themselves all the time.DAs every mobile-phone owner knows, after a year or so the battery starts to fade and the beast needs recharging more frequently.That is troublesome, but a phone’s batteries can be replaced fairly cheaply — or the whole device traded in for the latest model. An electric car, though, is a much bigger investment. And batteries are its priciest component, representing around 30% of an average mid-size vehicle.To provide buyers with some peace of mind, carmakers guarantee their batteries, typically for eight years or around 200,000km. Producers, planning to go much further than that, though, are racing to launch “million mile”(1.6m kilometers) batteries. Contemporary Amperex Technology, a giant Chinese firm which produces batteries fora number of carmakers, was said to be ready to start producing batteries which would last for 16 years or 2m kilometres. Elon Musk has suggested that Tesla,a Californian maker of electric vehicles, has a million-mile batteryin the works. And over in Detroit,General Motors is in the final stages of developing an advanced battery which it says has similar longevity (寿命)。
【20套试卷合集】江苏省苏州市景范中学2019-2020学年数学高一上期中模拟试卷含答案
2019-2020学年高一上数学期中模拟试卷含答案本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。
一. 选择题：本大题共10小题，每小题5分，共50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. 设全集{}8,7,6,5,4,3,2,1=U ，集合{}5,3,1=S ，{}6,3=T ，则()U S T ð等于A ．{}8,7,4,2B ．∅C ．{}6,5,3,1 D ．{}8,6,4,2 2. 可作为函数()y f x =的图象的是3.若函数满足(1)(1)f x f x -=+且(0)3f =，则(2)f 的值为 A. 1B.2C.3D. 04. 已知函数()f x 的定义域为()1,0-,则函数()21f x -的定义域为 A. ()1,1- B. 1,12⎛⎫⎪⎝⎭C. ()-1,0D. 10,2⎛⎫ ⎪⎝⎭5. 在区间[3,5]上有零点的函数有A . 1()2f x x=-+ B. 3()35f x x x =--+ C.()24x f x =- D .6. 下列函数中，既是偶函数又在()0,+∞上单调递增的是A ．2y x =-B ．y x =C ．2xy = D ．12log y x =7. 已知3log 4)3(2x f x=则(4)f 的值等于A. 4B. 8C. 16D. 98.函数2()1x f x x -=-的一个单增区间为 ()2ln(2)3f x x x =--A. (,0)-∞B.{}|1x x ≠C.(1,)+∞ D. 无单增区间9.图中的图象所表示的函数的解析式为A . 3|1|2y x =+- )2(0≤≤xB . |1-x |2323-=y )2(0≤≤x C . |1-x |23-=y)2(0≤≤x D . 2|1|y x =-- )2(0≤≤x10. 设函数()f x 与()g x 是定义在同一区间(),a b 上的两个函数，若函数()()y f x g x =-在(),a b 上有两个不同的零点，则称函数()f x ，()g x 在(),a b 上是“交织函数”，区间(),a b 称为“交织区间”．若2()34f x x x =-+与()2g x x m =+在(0,)+∞上是“交织函数”，则m 的取值范围为A.9[,4)4-B.9,44⎛⎫- ⎪⎝⎭C.(,2]-∞-D.9(,)4-+∞第Ⅱ卷(非选择题 共90分)二. 填空题：本大题共5小题，每小题分，共25分. 11.＝ .12. 设:1f x ax →-为集合A 到B 的映射，若()35f =，则()2f =13. 已知函数()|lg |f x x =，若0＜a ＜b ，且()()f a f b =，则ab 的值为 .14. 函数12log ,1,()2,1xx x f x x ≥⎧⎪=⎨⎪<⎩的值域为 ． 15. 已知函数1()()2x f x =的图象与函数()y g x =的图象关于直线y x =对称，令2()(1)h x g x =-，则关于()h x 有下列命题：①()h x 的图象关于原点对称； ②()h x 为偶函数；③()h x 的最小值为0； ④()h x 在(0，1)上为增函数. 其中正确命题的序号为_________.(将你认为正确的命题的序号都填上)三. 解答题：本大题共6小题，共75分. 解答应写出文字说明,证明过程或演算步骤 16 (本小题满分12分)化简160.2502494()8(2014)16---17 (本小题满分12分)设集合A 是函数()lg(3)f x x =-的定义域，集合B 是函数12)(+=x x g 的值域.（Ⅰ）求集合B A ;（Ⅱ）设集合{}C x x a =<，若集合A C A =，求实数a 的取值范围.18 (本小题满分12分)设()2log a f x x =，()log (56)a g x x =-，其中0a >且1a ≠. （Ⅰ） 若()()f x g x =，求x 的值； （Ⅱ） 若()()f x g x >，求x 的取值范围．19 (本小题满分12分)已知幂函数21()(22)m f x m m x +=-++为偶函数．（Ⅰ）求()f x 的解析式；（Ⅱ）若2a ≤，判断()21y f x ax =-+在区间（2，3）上的单调性并用定义加以证明.20 (本小题满分13分)某投资公司投资甲、乙两个项目所获得的利润分别是P （亿元）和Q （亿元），它们与各自的投资金额x （亿元）之间的关系分别为()P x =，1()16Q x x =，今该公司将5亿元的资金投向这两个项目（允许全部投向某一个项目），其中对甲项目投资x （亿元），此次投资所获得的总利润为y （亿元）. （Ⅰ）写出y 关于x 的函数表达式并注明函数的定义域； （Ⅱ）求总利润的最大值.21 (本小题满分14分)已知二次函数()y f x =，满足(1)3f =(1)1f -=-，且()f x 的最小值为1-． （Ⅰ）求()f x（Ⅱ）若函数(),y F x x R =∈为奇函数，当0x >时，()()F x f x =，求函数(),y F x x R =∈的解析式； （Ⅲ）设()()()1g x f x f x λ=--+，若()g x 在[1,1]-上是减函数，求实数λ的取值范围．一. 选择题：本大题共10小题，每小题5分，共50分. D二. 填空题：本大题共5小题，每小题5分，共25分.113π- 12 3 13 1 14 (,2)-∞ 15 ②③④三. 解答题：本大题共6小题，共75分.16解：1111160.2506322444974()8(2014)(23)4281164---=⋅-⨯-- （4分）＝132344237221⋅--- （7分）＝427721⨯--- （10分） ＝98 （12分） 17解：（Ⅰ）由1030x x +≥⎧⎨->⎩ （1分）得A=[-1,3), （3分）B=(1,+∞), （4分）A∩B=(1,3) （6分） （Ⅱ）AC A =，∴A C ⊆ （8分）∴ 3a ≥ （12分） 只要答案对，不画图不扣分－1 3 a18解：（Ⅰ）∵()()f x g x =，∴2056056x x x x ⎧>⎪->⎨⎪=-⎩（2分），解得2x =或3x = （5分）忽略定义域扣1分（Ⅱ）当01a <<时，∵()()f x g x >，∴2056056x x x x ⎧>⎪->⎨⎪<-⎩，解得，23x << （8分）当1a >时，∵()()f x g x >，∴2056056x x x x ⎧>⎪->⎨⎪>-⎩，解得，3x >或625x << （11分）综上，当01a <<时，23x <<，当1a >，3x >或625x << （12分） 19解：（1）由()f x 为幂函数知2221m m -++=，得1m =或12m =-（3分） 当1m =时，，符合题意；当12m =-时，12()f x x =，不为偶函数，舍去．∴2()f x x =． （5分）（Ⅱ）由（Ⅰ）得221y x ax =-+，对称轴为2x a =≤，∴y 在在区间（2，3）上单增 （7分） 设12,(2,3)x x ∈，且12x x <，则有120x x x =-<， （8分）∴221212212()y y y x x a x x =-=-+-＝1212()(2)x x x x a -+- （10分）＝1212()()x x x a x a --+-，∵120x x x =-<，2a ≤，10x a ->，20x a -> ∴0y >，∴()21y f x ax =-+在区间（2，3）上为增函数 （12分）20解：（Ⅰ）根据题意，得1(5),[0,5]16y x x =-∈ （4分）不写定义域扣1分（Ⅱ）令t =t ∈，则212x t =， （6分）211(25)162y t t =+-t ∈ （8分）22117(410)(2)323216t t t =---=--+ （10分）因为2∈2=时，即2x =时，max 716y =． （12分）答总利润的最大值是716亿元． （13分）21解：（Ⅰ）设2()()f x a x h k =-+，（0a ≠）（1分）由题意知221(1)13(1)11k a h a h =-⎧⎪--=⎨⎪---=-⎩（2分）解得1,1,1k h a =-=-= （5分）∴2()2f x x x =+ （4分） （Ⅱ）∵(),y F x x R =∈为奇函数，∴(0)0F = （5分）当0x <时，0x ->，∴2()()2F x f x x x -=-=-，又()()F x F x -=- ∴2()2F x x x =-+ （7分）∴222,0()0,02,0x x F x x x x x x ⎧+>⎪⎪==⎨⎪-+<⎪⎩ （8分） （Ⅲ）2()(1)(22)1g x x x λλ=--++ （9分）若10λ-=即1λ=，()41g x x =-+在[1,1]-上是减函数 （10分） 若1λ≠，则对称轴为11x λλ+=- ()g x 在[1,1]-上是减函数，须10111λλλ->⎧⎪+⎨≥⎪-⎩或10111λλλ-<⎧⎪+⎨≤-⎪-⎩ 即1011λλλ->⎧⎨+≥-⎩或1011λλλ-<⎧⎨+≥-+⎩解得01λ≤<若1λ> （13分）总之有0≥λ （14分））2019-2020学年高一上数学期中模拟试卷含答案一、选择题(本大题共10小题，每小题5分，共60分)1. 已知全集}5,4,3,2,1{=U ，集合}3,1{=A ，}5,4,3{=B ，则集合C U (A ∩B)=( ) A .}3{ B. }5,4{C. }5,4,2,1{D. }5,4,3{2. 已知b ax y x f B y A x R B A +=→∈∈==:,,,是从A 到B 的映射，若1和8的原象分别是3和10，则5在f 下的象是（ ） A.3 B.5 C.7 D.9 3．函数11+=-x ay )10(≠>a a 且 的图象一定经过点（ ）A. )1,0( B .)2,1( C .)0,1( D. )1,1(4．已知函数⎩⎨⎧≤>-=0,30,3)(x x x x f x，则))1((f f 的值是（ ）A . 9 B.91 C. 9- D. 91- 5．已知)(x f 为奇函数，当]4,1[∈x 时，.54)(2+-=x x x f 那么当14-≤≤-x 时，)(x f 的最大值为（ ） A. －5 B. 1 C. －1 D. 5 6．化简632xx x x ⋅⋅的结果是（ ）A. xB.xC.2xD. 17.函数53)(3+--=x x x f 的零点所在的区间为（ ） A ．)2,1( B ．)0,2(- C ．)1,0( D ．)1,2(-8．在以下四个结论中：①x x f 3)(=是奇函数；②221)(2-+-=x x x g 是奇函数；③)()()(x f x f x F -=)(R x ∈是偶函数 ；④x x h 3)(=是非奇非偶函数.正确的有（ ）个A.1个B.2个C.3个D.4个9．如果二次函数452++=mx x y 在区间]1,(--∞上是减函数，则m 的取值范围是（ ） A ．]10,(--∞ B ．]10,(-∞ C ．),10[+∞ D ．),10[+∞-10．若)0(1)21(22≠-=-x x x x f ，那么=)21(f （ ）A. 1 B ． 3 C. 15 D. 30 11．函数341)(2++=x ax x f 的定义域为R ，则实数a 的取值范围是（ ）A ．]34,0()0,(⋃-∞ B ．]34,(-∞ C ．),34[+∞ D ．),34(+∞12. 若函数b a x x x f +-+=||)(2在区间]0,(-∞上为减函数，则实数a 的取值范围是（ ）A.0≥aB. 0≤aC. 1≥aD. 1≤a二、填空题(本大题共4小题，每小题5分，共20分)13．已知函数)(x f 是定义域为R 的奇函数，且2)1(=-f ，则=+)1()0(f f14．函数2332-+-=x x x y 的定义域为 15．函数432--=x x y 的定义域是],1[m -，值域是]0,425[-，则m 的取值范围是 16．函数ax ax x f ++=1)(在区间),2(+∞-上是增函数，则a 的取值范围是三、解答题：本大题共6小题，共70分，解答应写出文字说明、证明过程或演算步骤 17．（10分）已知一个二次函数)(x f ，0)4(,0)2(,4)0(===f f f .求这个函数的解析式。
2019-2020学年苏州市景范中学校高三英语上学期期中试题及答案解析
2019-2020学年苏州市景范中学校高三英语上学期期中试题及答案解析第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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AThe Rechargeable Go!☑The digital sound processing chip(芯片) provides clear sound and makes speech easier to understand with less whistling sound☑Never replace batteries again!Full Charge Gives 16 Hours of Use! (Free Charging Station Included)☑Easy On/ Off Button☑Automatic Noise Reduction and Feedback Canceler☑100% Money Back Guarantee5 Star Reviews☑☑☑☑☑Amazing!"My sisters had all given up hope that our elderly mother would hear us clearly again. And then we took a chance. We're so glad we did. They've been amazing for her, and for our entire family."-Karen M.The new HearClear GO Rechargeable Digital Hearing Aids feature advanced digital technology at an unbelievably affordable price! The GO has the same key elements that all high-end digital hearing aids share while leaving out fancy bells and whistles that increase cost and require expensive adjustments. You'll be happier saving much money!Your lightweight GO hearing aids are amazingly convenient! With the GO'S charging station, you won't have to keep replacing tiny hearing aid batteries, and the GO is pre-programmed for most mild to moderate hearing loss-no costly professional adjustments needed.You can spend thousands on an expensive hearing aid, or you can spend just $ 239 on a hearing aid that's great for most mild to moderate hearing loss (only $ 199 each when you buy a pair). We're so sure you'll be happy with your new hearing aids.1. Which is the feature of the GO?A. It removes noises.B. It has separate on/ off buttons.C. It includes small batteries.D. It focuses on practical functions.2. Why does the author refer to Karen?A. To prove the GO's popularity.B. To explain the GO'S function.C. To convey the family's amazement.D. To show the GO'S high performance.3. How much do you pay for a pair of the GO?A. $ 199.B. $ 239.C. $ 398.D. $ 478.BWhen almost everyone has a mobile phone, why are more than half of Australian homes still paying for a landline（座机）?These days you’d be hard pressed to find anyone in Australia over the age of 15 who doesn’t own a mobile phone. In fact plenty of younger kids have one in their pocket. Practically everyone can make and receive calls anywhere, anytime.Still, 55 percent of Australians have a landline phone at home and only just over a quarter（29%）rely only on their smartphones according to a survey（调查）. Of those Australians who still have a landline, a thirdconcedethat it’s not really necessary and they’re keeping it as a security blanket — 19 percent say they never use it while a further13 percent keep it in case of emergencies. I think my home falls into that category.More than half of Australian homes are still choosing to stick with their home phone. Age is naturally a factor （因素）— only 58 percent of Generation Ys still use landlinesnow and then, compared to 84 percent of Baby Boomers who’ve perhaps had the same home number for 50 years. Age isn’t the only factor; I’d say it’s also to do with the makeup of your household.Generation Xers with young families, like my wife and I, can still find it convenient to have a home phone rather than providing a mobile phone for every family member. That said, to be honest the only people who ever ring our home phone are our Baby Boomers parents, to the point where we play a game and guess who iscalling before we pick up the phone（using Caller ID would take the fun out of it）.How attached are you to your landline? How long until they go the way of gas street lamps and morning milkdeliveries?4. What does paragraph 2 mainly tell us about mobilephones?A. Their target users.B. Their wide popularity.C. Their major functions.D. Their complex design.5. What does the underlined word “concede” in paragraph 3 mean?A. Admit.B. Argue.C. Remember.D. Remark.6. What can we say about Baby Boomers?A. They like smartphone games.B. They enjoy guessing callers’ identity.C. They keep using landline phones.D. They are attached to their family.7. What can be inferred about the landline from the last paragraph?A. It remains a family necessity.B. Itwill fall out of use some day.C. It may increase daily expenses.D. It is as important as the gas light.CImagine the feeling of swinging at a baseball going 100 miles per hour—without leaving your living room, or being in race car as it roars down the track, while you are sitting on the couch.These are just some of the ways that sports business leaders say virtual reality (VR) will revolutionize how people train for and experience sports. Virtual and augmented（增强的）realities are together known as mixed reality (MR). “American footballers are already using VR to better train their minds andread the field,” Ludden said. “This can allow players to perfect their skills without risking injury.”Canadian company D-BOX Technologies designs and produces moving seats found in cinema and theme parks. It is now moving into sports, and shows its Formula One (F1) racing simulator（模拟器）. The seats stimulate the force of gravity, speed and every shaking as Fl champion Lewis Hamilton zips around city streets.A simulation seat uses pre-programed data now. Someday, though, it could use real-time information sent by the car. “They couldbroadcast live content through a network in pop-up theaters around the world,” Ludden said. Say you want to experience the true stress of a batter being up against major-league baseball pitcher. “You can have a heartbeat added to the sensation on the seat and then you can feel it, boom, boom,” Maheu explained. “When he swings and hits the ball, you can have an impact.”One day, fans around the world could physically experience every game from their favorite player in real time. Ludden said that current and near-future technology could create “augmented stadiums” for live audiences. Panasonic launched its “Smart Venue” plans which included the overlaying of graphics, advertisements, player statistics and replays on the field of play at a pro football game. “If you are seated in the cheap seats, you can see this really useful.” “Fans may someday join in stadium wide games, using the field as a virtual gaming platform,” Ludden added.8. What does the underlined phrase “read the field” in paragraph 2 mean?A. Get off the playing field.B. Build up a football court.C. Judge the situation on the field.D. Ask players to play on the spot.9. What does Maheu think audiences can do in the future baseball game?A. Enjoy live content in any theater.B. Program the simulation seats in advance.C. Control the force and speed of the baseball.D. Experience the real time game with the player.10. What does Ludden mainly describe in the last paragraph?A. The origin of VR.B. A future stadium.C. An advertisement platform.D. The expectations of audiences.11. What is the main idea of the text?A. VR can improve players' skills for sports.B. VR increases fans' joy in the baseball game.C. VR can improve sports experience for players and fans.D. VR promises a new future for football players and games.DWhat will people die of 100 years from now? If you think that is a simple question，you have not been paying attention to the revolution that is taking place in bio-technology（生物技术）. With the help of new medicine，the human body will last a very long time. Death will come mainly from accidents，murder and war. Today’s leading killers，such as heart disease，cancer，and aging itself，will become distant memories.In discussion of technological changes，the Internet gets most of the attention these days. But the change in medicine can be the real technological event of our times. How long can humans live? Human brains were known to decide the final death. Cells（细胞）are the basic units of all living things，and until recently，scientists were surethat the life of cells could not go much beyond 120 years because the basic materials of cells，such as those of brain cells，would not last forever. But the upper limits will be broken by new medicine. Sometime between 2050 and 2100，medicine will have advanced to the point at which every 10 years or so，people will beable to take medicine to repair their organs（器官）. The medicine，made up of the basic building materials of life，will build new brain cells，heart cells，and so on－in much the same way our bodies make new skin cells to take the place of old ones.It is exciting to imagine that the advance in technology may be changing the most basic condition of human existence，but many technical problems still must be cleared up on the way to this wonderful future.12. According to the passage，human death is now mainly caused by ________.A. diseases and agingB. accidents and warC. accidents and agingD. heart disease and war13. In the author’s opinion，today’s most important advance in technology lies in（在于）________.A. the InternetB. medicineC. brain cellsD. human organs14. Humans may live longer in the future because ________.A. heart disease will be far away from usB. human brains can decide the final deathC. the basic materials of cells will last foreverD. human organs can be repaired by new medicine15. How long can humans live in the future according to the passage?A. Over 100 years.B. More than 120 years.C. About 150 years.D. The passage doesn’t tell us.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
江苏省苏州市景范中学高三数学理上学期期末试卷含解析
江苏省苏州市景范中学高三数学理上学期期末试卷含解析一、选择题：本大题共10小题，每小题5分，共50分。
在每小题给出的四个选项中，只有是一个符合题目要求的1. 设等差数列的前项和为，若，，则A．63 B．45 C．36 D．27参考答案：B略2. 已知定义在R上的函数f（x）在[1，+∞）上单调递增，且f（x+1）为偶函数，则（）A．f（0）＜f（）B．f（﹣2）＞f（2）C．f（﹣1）＜f（3）D．f（﹣4）=f（4）参考答案：B【考点】奇偶性与单调性的综合．【分析】根据条件判断函数f（x）关于x=1对称，利用函数对称性和单调性的关系将不等式进行转化即可得到结论．【解答】解：∵f（x+1）为偶函数，∴f（x+1）=f（﹣x+1），即函数f（x）关于x=1对称，∵f（x）在[1，+∞）上单调递增，∴f（x）在（﹣∞，1]上单调递减，∴f（0）＞f（），f（﹣2）=f（4）＞f（2），f（﹣1）=f（3），f（﹣4）=f（6）＞f（4），故选：B．3. 已知等比数列{a n}前n项和为S n，则下列一定成立的是（）A．若a3＞0，则a2013＜0 B．若a4＞0，则a2014＜0C．若a3＞0，则S2013＞0 D．若a4＞0，则S2014＞0参考答案：考点：等比数列的性质．专题：等差数列与等比数列．分析：对于选项A，B，D可通过q=﹣1的等比数列排除，对于选项C，可分公比q＞0，q＜0来证明即可得答案．解答：解：对于选项A，可列举公比q=﹣1的等比数列1，﹣1，1，﹣1，…，显然满足a3＞0，但a2013=1＞0，故错误；对于选项B，可列举公比q=﹣1的等比数列﹣1，1，﹣1，1…，显然满足a4＞0，但a2014=0，故错误；对于选项D，可列举公比q=﹣1的等比数列﹣1，1，﹣1，1…，显然满足a2＞0，但S2014=0，故错误；对于选项C，因为a3=a1?q2＞0，所以 a1＞0．当公比q＞0时，任意a n＞0，故有S2013＞0；当公比q＜0时，q2013＜0，故1﹣q＞0，1﹣q2013＞0，仍然有S2013 =＞0，故C正确，故选C．点评：本题主要考查等比数列的定义和性质，通过给变量取特殊值，举反例来说明某个命题不正确，是一种简单有效的方法，属于中档题．4. .如图是某几何体的三视图，则过该几何体顶点的所有截面中，最大截面的面积是（）A. 2B.C.D. 1参考答案：A【分析】首先确定几何体的空间结构特征，然后结合面积公式求解面积的最大值即可.【详解】由三视图可知其对应的几何体是一个半圆锥，且圆锥的底面半径为，高，故俯视图是一个腰长为2，顶角为的等腰三角形，易知过该几何体顶点的所有截面均为等腰三角形，且腰长为2，顶角的范围为，设顶角为，则截面的面积：，当时，面积取得最大值.故选：A.【点睛】本题主要考查三视图还原几何体的方法，三角形面积公式及其应用等知识，意在考查学生的转化能力和计算求解能力.5. 已知i为虚数单位，复数z满足(1+i)=i，则z=（）A．1+i B．1﹣i C．D．参考答案：D【考点】复数代数形式的乘除运算．【分析】把已知等式变形，利用复数代数形式的乘除运算化简求得，再由共轭复数的概念得答案．【解答】解：由，得，∴z=．故选：D．6. 椭圆的左右焦点分别是，焦距为，若直线与椭圆交于点，满足，则椭圆的离心率是（）A．B．C．D．参考答案：B略7. 函数的定义域为（）A． B． C． D．参考答案：C8. 已知，其中是虚数单位，则( )A. B. C.2D.1参考答案：B9. 如图，平面内的两个单位向量，它们的夹角是60°，与、向量的夹角都为，且||=，若，则值为（）A．2 B．4 C．D．参考答案：B10. 右图中的小网格由等大的小正方形拼成，则向量A． B． C． D．参考答案：D略二、填空题:本大题共7小题,每小题4分,共28分11. 一个酒杯的轴截面是开口向上的抛物线的一段弧，它的口宽是的4 ，杯深20，在杯内放一玻璃球，当玻璃球的半径r最大取＿＿＿＿时，才能使玻璃球触及杯底．参考答案：1由题可知抛物线的方程为，设小球的截面圆心为,抛物线上点，点到圆心距离平方为在时取到最小值，则小球触及杯底,所以,得,即,故当玻璃球的半径最大取时，才能使玻璃球触及杯底.12. 已知函数是上的奇函数,且的图象关于直线对称,当时,，则参考答案：-113.定义平面点集R 2 ={x,y)|x∈R,y∈R丨，对于集合，若对，使得{P∈R2|丨PP0|<r}，则称集合从为“开集”.给出下列命题：①集合{x,y)| (x—1)2 + (y—3)2<1}是开集；②集合{x,y)|x≥0， y>0}是开集；③开集在全集R2上的补集仍然是开集；④两个开集的并集是开集.其中你认为正确的所有命题的序号是______.参考答案：略14. 设曲线在点（1，1）处的切线与x轴的交点的横坐标为，则的值为．参考答案：15. 已知点,自点Ｍ向圆引切线，则切线方程是___________．参考答案：和解：当斜率存在时，可以求得方程为；当斜率不存在时，可以求得方程为． 故可填：和.16. （3分）设矩阵A=，B=，若BA=，则x= ．参考答案：2考点：矩阵与向量乘法的意义．专题： 计算题；矩阵和变换． 分析： 由题意，根据矩阵运算求解．解答：∵A=，B=，BA=，∴4×2﹣2x=4； 解得，x=2； 故答案为：2．点评： 本题考查了矩阵的运算，属于基础题． 17. 已知定义在R 上的函数f(x)满足：①函数y ＝f(x －1)的图像关于点(1,0)对称；②对?x∈R，f(－x)＝f(＋x)成立；③当x∈(－，－]时，f(x)＝log 2(－3x ＋1)．则f(2014)＝________.参考答案：-2三、 解答题：本大题共5小题，共72分。
2019-2020学年苏州市景范中学校高三英语第一次联考试卷及答案解析
2019-2020学年苏州市景范中学校高三英语第一次联考试卷及答案解析第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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AIt's just before l pm and hungry guests are starting to emerge out onto the wooden floor at the back of the Victoria Falls Safari Lodge in Zimbabwe. A few have already settled in for lunch, drinking beer and enjoying their sandwiches and salads in the sunshine. It's a normal setting until you look up. Overhead, the sky is filled with several hundred vultures (秃鹭).They too have arrived for their midday snack. Every day the team at this hotel places last night's leftover meat out for the vultures to eat. They call it the "Vulture Restaurant" and it's a vital part of protecting these birds, who have become some of the most endangered species in Africa.In Zimbabwe, where illegal hunting of elephants and rhinos is a major issue, poisoning poses a significant threat to the birds. "In recent years hunters have realized they can use poison to kill animals. It's effective because it's silent and therefore doesn't attract much attention.when the vultures eat the bodies of the dead animals they die too," says Roger Parry, Wildlife Manager at the Victoria Falls Wildlife Trust.The Vulture Restaurant initiative is part feeding programme, part education programme. By attracting the birds to the Vulture Restaurant every day the team can ensure they're regularly getting a safe meal, and while the birds are there they can educate tourists from all over the world about these creatures.“Lunch” is served by Moses Garira. He has the unenviable task of wandering out into the middle of the clearing with a box full of meat, dropping the contents onto the ground and running for his life as the vultures fly downward suddenly for their food. No one, surely, would volunteer for this role, but Garira rather enjoys it. Back in the safety of the viewing seats, he tells the onlookers about the importance of vultures. "They're hugely important in terms of their role of cleaning up the bodies of dead animals," says Garira. "Notably, they're safely able to digest bacteria like anthrax. Without vultures, there'd be a lot more disease in the world."1. What's the biggest threat vultures facing in Zimbabwe?A. Overhunting.B. Unsafe food.C. Loss of habitat.D. A bird disease.2. What would others think of Garira's job?A. Scary.B. Relaxing.C. Well-paid.D. Time-consuming3. What do Garira's words mean?A. Birds are human's best friends.B. People know little about vultures.C. Vultures are environmentally favorable.D. Vultures are in urgentneed of protection.BChancellor of the Exchequer George Osborne said yesterday he would use the autumn spending review to increase Britain’s￡12bn-a-year aid budget towards humanitarian(人道主义的) causes in the wake of the European refugee(难民) crisis.Britainpromised to spend 0.7 percent of state general product on aid, meaning the budget could rise sharply by the end of the decade as the economy grows.Mr Osborne also said more of the aid budget could be given to help local government with housing costs for incomers, without breaking international guidelines.“We will use the foreign aid budget to help with the costs of these refugees. People ask about the pressure on public services; we’ll have extra money to help with that.”The government was unable to give a figure for how much aid money could be handed to local authorities: it would depend on how many refugees are accepted.David Cameron, Prime Minister, will set out his position on aid for refugees today. It is reported thatBritainwill accept at least 10,000 extra people from camps on theSyriaborder. He will use a statement in the House of Commons to flesh out plans — announced inMadridon Friday — to take more people.A report inThe Sunday Timesthat the UK would take 15,000 Syrians, not far from the 18,000 figure demanded by the EU, was described by “Downing Street” as a “guess”.TheUKwill offer to resettle Syrians directly from refugee camps inJordan,LebanonandTurkey— but not those who have already reached the EU.4. What is the main idea of the passage?A. Britain tried to help refugees.B. People doubtBritain’s kindness.C. Britain tried to explain its behavior.D. Refugees like to live inBritain.5. What can we infer from the first two paragraphs?A. Britain’s economy grows rapidly.B. Britain will use little of its money to help refugees.C. Most countries are not willing to help refugees.D.Britainwill use more money to help refugees.6. Which of the following statements is TRUE?A. Britain will use foreign money to help refugees.B. Britain helps refugees following international guidelines.C. Britain will use foreign money to develop themselves.D. People ask to use public service money to help refugees.7. What can we know from the passage?A. Britain can hold 10,000 refugees at most.B. The number of refugees to be received is uncertain.C. House of Commons declare a general plan.D.Britaincan hold 15,000 refugees at most.CHave you ever imagined that your simple T-shirt could cool you down by up to5℃on these hot summer days? Thanks to a recent discovery, the possibility is getting closer. While there are many alternatives that manage to keep the body warm, this amazing invention aims to offer real relief for those who are eager to feel comfortable and fresh in the outdoors on extremely hot days.Its inventors, engineers Ma Yaoguang of Zhejiang University and Tao Guangming of Huazhong University of Science and Technology in China, look a completely innovative approach. They designed a special textile dial can absorb body heat and re-emit its energy into space as mid-infrared radiation (MIR). This textile cools both the objects and their surroundings through a technique that is known as radiative cooling, Science reveals. This means that even when it looks like you are wearing a regular shirt, you are actually wearing a device that works like amirror.Research conducted at Stanford University in 2017 had already managed to cool the wearer by 3℃, but this previous trial was limited. So researchers still need to test the new approach to determine how effectively the new fabric cools while the wearers are standing or walking, and not directly facing the sky, like in their trials. They also need to examine and measure how well it works when T-shirts are not in close contact with the skin.Inventors Yaoguang and Guangming are now looking out for textile manufacturers and clothing brands that are interested in using their fabric. They estimate that the new material will increase clothing manufacturing costs by just 10 percent. “We can make it with mass production which means everybody can get a T-shirt and the cost is basically the same as theirs,” old Yaoguang said.So if you are an athlete or simply someone that has to deal with the extremely high temperatures, be patient because your days of feeling hot and bothered may be corning to an end!8. What is the purpose of the new invention?A. To warm up people's body.B. To cool people off in hot weather.C. To detect the wearers' temperature.D. To protect clothes from becoming wet.9. How does the special product work?A. By turning sunlight into energy.B. By sending out absorbed heat.C. By keeping heat out completely.D. By using light color1 s to reflect sunlight.10. What is the main idea of paragraph 3?A. The invention needs further testing.B. The previous studies lack evidence.C. The new fabric has a good cooling effect.D. The new fabric applies to various situations.11. The invention of the T-shirt may hean example of ________.A. barking up the wrong treeB. robbing Peter to pay PaulC. killing two birds with one stoneD. pulling the cart before the horseDIn the northern part ofAustin there once lived an honest family by the name of Smothers. The family had John Smothers, his wife and their five-year-old daughter.One night after supper the little girl was ill with a serious stomachache, and John Smothers hurried downtown to get some medicine. He never came back. The mother was very sad over her husband's disappearance, and it was nearly three months before she married again, and moved to San Antonio. The little girl recovered and in time grew up to womanhood. After a few years had rolled around, the little girl also married intime, and she also had a little girl of five years. She still lived in the same house where theydweltwhen her father had left and never returned.By an unbelievable coincidence her little girl was taken with the same stomachache on the same night of the disappearance of John Smothers, who would now have been her grandfather if he had been alive. “I will go downtown and get some medicine for her,” said John Smith(for it was he whom she had married). “No, no, dear John,” cried his wife. “You, too, might disappear forever, and then forget to come back.” So John Smith did not go, and together they sat by the bedside of little Pansy. After a little while Pansy seemed to grow worse, and John Smith again wanted to go for medicine, but his wife would not let him.Just then, the door suddenly opened and an old man with long white hair entered the room. “Hello, here is grandpa,” said Pansy. She had recognized him before any of the others. The old man drew a bottle of medicine from his pocket and gave Pansy a spoonful. She got well immediately. “I was a little late,” said John Smothers, “as I waited for a street car.”12. What happened after John Smothers disappeared?A. His daughter took some medicine.B. His wife left for San Antonio.C. Pansy immediately had a stomachache.D. John Smith went for medicine.13. What does the underlined word “dwelt” in paragraph 2 probably mean?A. Lived.B. Left.C. Returned.D. Married.14. What is the relationship between John Smothersand Pansy?A. Husband and wife.B. Father and daughter.C. Grandfather and granddaughter.D. Father and son.15. How could Pansy's mother feel when she saw John Smothers?A. Worried.B. Sad.C. Uninterested.D. Surprised.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2019-2020学年江苏省苏州市姑苏区景范中学九年级(上)月考数学试卷(9月份)
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苏科版七年级上册数学苏州市景范中学-第一学期
苏州市景范中学2010-2011学年第一学期初一年级数学学科期中考试试卷一．选择题：(每题2分，共20分)1．下列各数中，负数是 ( ) A ．－(－3) B ．3- C ．(－3)2 D ． (－3) 32.地球的表面积约是780 000 000km 2，用科学记数法表示为 ( )A . 78×107km 2B . 7.8×107km 2C . 7.8×108km 2D . 0.78×109km 2 3. 下列代数式： (1)mn 32-，(2)m ，(3)21，(4)a 2，(5)12+m ，(6) 3222++x x(7)22yx +，单项式有 ( ) A . 3个 B . 4个 C . 5个 D . 6个4. 已知①x =1，②x -2=12，③ x 2+x +1=0,④xy =0，⑤2x +y =0 ，其中是一元一次方程的有( )考场号_____________座位号_____________班级_____________姓名_____________成绩_____________------------------------------------------------------装-----------订-----------线-------------------------------------------------------------A . 1个B . 2个C . 3个D . 4个5．有理数a 、b 在数轴上的位置如图示，则 ( )A ．a +b <0B ．a +b >0C ．a －b =0D ．a －b >06．下列各组是同类项的一组是A . –2a 3b 与21ba 3 B . 3x 2y 与－4x 2yz C . a 3与b 3 D . xy 2与x 21-2y 7.出租车收费标准为：起步价6元（不超过3千米收费6元）。
2019-2020学年江苏省苏州市姑苏区景范中学九年级(上)月考数学试卷(9月份)(PDF版含解析)
2019-2020学年江苏省苏州市姑苏区景范中学九年级（上）月考数学试卷（9月份）一、选择题（本大题共10小题，每小题3分，共30分）1．（2011•顺城区二模）如果α∠是等边三角形的一个内角，那么cos α的值等于()A ．12B ．22C ．32D ．12．（3分）如图，在ABC ∆中，90C ∠=︒，5AB =，3BC =，则sin A 的值是()A ．34B ．43C ．35D ．453．（3分）（2019秋•姑苏区校级月考）下列函数中，是二次函数的有()（1）2231y x x =++；（2）2156y x =+；（3）22(3)y x x =--；（4）212y x x =+-；A ．1个B ．2个C ．3个D ．4个4．（3分）（2019秋•姑苏区校级月考）抛物线231()352y x =-+-的顶点坐标是()A ．1(2，3)-B ．1(2-，3)-C ．1(2，3)D ．1(2-，3)5．（3分）（2017秋•资中县期末）对于二次函数2(1)2y x =-++的图象与性质，下列说法正确的是()A ．对称轴是直线1x =，最小值是2B ．对称轴是直线1x =，最大值是2C ．对称轴是直线1x =-，最小值是2D ．对称轴是直线1x =-，最大值是26．（3分）（2007•潍坊）如图，梯形ABCD 中，//AD BC ，45B ∠=︒，120D ∠=︒，8AB cm =，则DC 的长为()A ．863cm B ．463cm C ．46cm D ．8cm7．（3分）（2010•苏州）如图，在菱形ABCD 中，DE AB ⊥，3cos 5A =，2BE =，则tan DBE ∠的值()A ．12B ．2C ．52D ．558．（3分）（2019秋•姑苏区校级月考）已知二次函数243y x x =-+，当0x >时，函数值y 的取值范围是()A ．3y >B ．3y <C ．1y -D ．13y - 9．（3分）（2007•泸州）已知函数2y ax ax =+与函数(0)ay a x=<，则它们在同一坐标系中的大致图象是()A ．B ．C ．D ．10．（3分）（2019秋•姑苏区校级月考）如图，已知点E 是矩形ABCD 的对角线AC 上一动点，正方形EGH 的顶点G 都在边AD 上，若4AB =，5BC =，则tan AFE ∠的值()A ．等于94B ．等于45C ．等于49D ．随点E 位置的变化而变化二、填空题（本大题共8小题，每小题2分，共16分）11．（2分）（2019秋•姑苏区校级月考）若tan 10α-=，则α∠=．12．（2分）（2018秋•唐山期中）如图，在84⨯的矩形网格中，每格小正方形的边长都是1，若ABC ∆的三个顶点在图中相应的格点上，则tan ACB ∠的值为．13．（2分）（2019秋•姑苏区校级月考）在ABC ∆中，若2|sin |tan )02A B -+-=，则C ∠的度数是．14．（2分）（2004•河北）若将二次函数223y x x =-+配方为2()y x h k =-+的形式，则y =．15．（2分）（2019秋•姑苏区校级月考）若1(4,)A y -，2(1,)B y -，3(2,)C y 为二次函数2(2)3y x =-++的图象上的三点，则1y ，2y ，3y 小关系是．16．（2分）（2016•贵州一模）如果把抛物线221y x =-向左平移1个单位，同时向上平移4个单位，那么得到的新的抛物线是．17．（2分）（2016•菏泽）如图，在正方形ABCD 外作等腰直角CDE ∆，DE CE =，连接BE ，则tan EBC ∠=．18．（2分）（2019秋•姑苏区校级月考）如图，已知抛物线2y x px q =-++的对称轴为直线3x =-，过其顶点M 的条直线y kx b =+与该抛物线的另一个交点为(1,1)N -．若要在y 轴上找一点P ，使得PM PN +最小，则点P 的坐标为．三、解答题：19．（10分）（2019秋•姑苏区校级月考）计算：（1）2sin 303cos 604tan 45︒+︒-︒；（2）201sin 452016)6tan 302︒-+-+︒．20．（6分）（2013秋•锡山区校级期中）如图，在Rt ABC ∆中，90C ∠=︒，10AB =，1tan 2A ∠=，求BC 的长和sinB ∠的值．21．（6分）（2018•上海）如图，已知ABC ∆中，5AB BC ==，3tan 4ABC ∠=．（1）求边AC 的长；（2）设边BC 的垂直平分线与边AB 的交点为D ，求ADDB的值．22．（6分）如图，已知二次函数2()y a x h =-+(0,0)O ，(2,0)A ．（1）写出该函数图象的对称轴；（2）若将线段OA 绕点O 逆时针旋转60︒到OA '，试判断点A '是否为该函数图象的顶点？23．（6分）（2018•合肥模拟）某片绿地的形状如图所示，其中60⊥，⊥，AD CD∠=︒，AB BCA≈=，求AD、BC的长．（精确到1m，3 1.732)CD mAB m200=，10024．（9分）（2015•巴中模拟）二次函数的图象经过点(0,3)C-．A-，(2,3)B-，(1,0)（1）求此二次函数的关系式；（2）求此二次函数图象的顶点坐标；（3）填空：把二次函数的图象沿坐标轴方向最少平移个单位，使得该图象的顶点在原点．25．（9分）（2019•高台县二模）如图，某人在山坡坡脚A处测得电视塔尖点C的仰角为60︒，沿山坡向上走到P处再测得点C的仰角为45︒，已知100OA=米，山坡坡度（竖直高度与水平宽度的比）1:2i=，且O、A、B在同一条直线上．求电视塔OC的高度以及此人所在位置点P的铅直高度．（测倾器高度忽略不计，结果保留根号形式）26．（10分）（2011•连云港）如图，抛物线212y x x a =-+与x 轴交于点A ，B ，与y 轴交于点C ，其顶点在直线2y x =-上．（1）求a 的值；（2）求A ，B 的坐标；（3）以AC ，CB 为一组邻边作ACBD ，则点D 关于x 轴的对称点D '是否在该抛物线上？请说明理由．27．（10分）（2013•龙湖区模拟）为缓解“停车难”的问题，某单位拟建筑地下停车库，建筑设计师提供了该地下停车库的设计示意图，按规定，地下停车库坡道口上方要张贴限高标志，以便告知停车人车辆能否安全驶入，为标明限高，请你根据该图计算CE ．（精确到0.1)m （下列数据提供参考：sin 200.3420︒=，cos 200.9397︒=，tan 200.3640)︒=28．（12分）（2011•西城区二模）如图1，在Rt ABC ∆中，90C ∠=︒，9AC cm =，12BC cm =．在Rt DEF ∆中，90DFE ∠=︒，6EF cm =，8DF cm =．E ，F 两点在BC 边上，DE ，DF 两边分别与AB 边交于G ，H 两点．现固定ABC ∆不动，DEF ∆从点F 与点B 重合的位置出发，沿BC 以1/cm s 的速度向点C 运动，点P 从点F 出发，在折线FD DE -上以2/cm s 的速度向点E 运动．DEF ∆与点P 同时出发，当点E 到达点C 时，DEF ∆和点P 同时停止运动．设运动的时间是t （单位：)s ，0t >．（1）当2t =时，PH =cm ，DG =cm ；（2）t 为多少秒时PDE ∆为等腰三角形？请说明理由；（3）t 为多少秒时点P 与点G 重合？写出计算过程；（4）求tan PBF ∠的值（可用含t 的代数式表示）．2019-2020学年江苏省苏州市姑苏区景范中学九年级（上）月考数学试卷（9月份）参考答案与试题解析一、选择题（本大题共10小题，每小题3分，共30分）1．（2011•顺城区二模）如果α∠是等边三角形的一个内角，那么cos α的值等于()A ．12B ．22C ．32D ．1【解答】解：α∠ 是等边三角形的一个内角，60α∴∠=︒．1cos cos 602α∴=︒=．故选：A ．2．（3分）如图，在ABC ∆中，90C ∠=︒，5AB =，3BC =，则sin A 的值是()A ．34B ．43C ．35D ．45【解答】解：3sin 5BC A AB ==．故选：C ．3．（3分）（2019秋•姑苏区校级月考）下列函数中，是二次函数的有()（1）2231y x x =++；（2）2156y x =+；（3）22(3)y x x =--；（4）212y x x =+；A ．1个B ．2个C ．3个D ．4个【解答】解：（1）2231y x x=++，右边有分式，不是二次函数；（2）2156y x =+是二次函数；（3）22(3)69y x x x =--=-+，不是二次函数；（4）212y x x =+是二次函数．故是二次函数的有2个．故选：B ．4．（3分）（2019秋•姑苏区校级月考）抛物线231()352y x =-+-的顶点坐标是()A ．1(2，3)-B ．1(2-，3)-C ．1(2，3)D ．1(2-，3)【解答】解：由抛物线231()352y x =-+-可知顶点为1(2-，3)-．故选：B ．5．（3分）（2017秋•资中县期末）对于二次函数2(1)2y x =-++的图象与性质，下列说法正确的是()A ．对称轴是直线1x =，最小值是2B ．对称轴是直线1x =，最大值是2C ．对称轴是直线1x =-，最小值是2D ．对称轴是直线1x =-，最大值是2【解答】解：2(1)2y x =-++ ，∴抛物线开口向下，对称轴为1x =-，∴当1x =-时，y 有最大值2，故选：D ．6．（3分）（2007•潍坊）如图，梯形ABCD 中，//AD BC ，45B ∠=︒，120D ∠=︒，8AB cm =，则DC 的长为()A ．863B ．463C ．6cmD ．8cm【解答】解：如图，过A 作AE BC ⊥于点E ，过D 作DF BC ⊥于点F ，则四边形AEFD 为矩形．由题意知AEB ∆为等腰直角三角形，sin 4542DF AE AB ∴==︒=．120D ∠=︒ ，60C ∴∠=︒，86()sin 6032DF DF CD cm ∴===︒．故选：A ．7．（3分）（2010•苏州）如图，在菱形ABCD 中，DE AB ⊥，3cos 5A =，2BE =，则tan DBE ∠的值()A ．12B ．2C 5D 5【解答】解：设菱形ABCD 边长为t ．2BE = ，2AE t ∴=-．3cos 5A = ，∴35AE AD =．∴235t t -=．5t ∴=．523AE ∴=-=．2222534DE AD AE ∴--=．4tan 22DE DBE BE ∴∠===．故选：B ．8．（3分）（2019秋•姑苏区校级月考）已知二次函数243y x x =-+，当0x >时，函数值y 的取值范围是()A ．3y >B ．3y <C ．1y -D ．13y -【解答】解：如图，当0x =时，3y =，2243(2)1y x x x =-+=-- ，∴当2x >时，y 随x 的增大而减小，且y 有最小值1-，∴当0x >时，y 的取值范围是1y - ．故选：C ．9．（3分）（2007•泸州）已知函数2y ax ax =+与函数(0)ay a x=<，则它们在同一坐标系中的大致图象是()A ．B ．C ．D ．【解答】解：当0a <时，二次函数2y ax ax =+的图象开口向下，对称轴12x =-；函数ay x=的图象在二、四象限，符合题意的是图象B ．故选B ．10．（3分）（2019秋•姑苏区校级月考）如图，已知点E 是矩形ABCD 的对角线AC 上一动点，正方形EGH 的顶点G 都在边AD 上，若4AB =，5BC =，则tan AFE ∠的值()A ．等于94B ．等于45C ．等于49D ．随点E 位置的变化而变化【解答】解：//EH CD ，AEH ACD ∴∆∆∽．∴45HE AH =．设4EH x =，则5AH x =，4HG GF x ∴==．44tan tan 459x AFE FAG x x ∴∠=∠==+．故选：C ．二、填空题（本大题共8小题，每小题2分，共16分）11．（2分）（2019秋•姑苏区校级月考）若tan 10α-=，则α∠=45︒．【解答】解：tan 10α-= ，tan 1α∴=，45α∴∠=︒，故答案为：45︒．12．（2分）（2018秋•唐山期中）如图，在84⨯的矩形网格中，每格小正方形的边长都是1，若ABC ∆的三个顶点在图中相应的格点上，则tan ACB ∠的值为13．【解答】解：由图形知：21tan 63ACB ∠==，故答案为：13．13．（2分）（2019秋•姑苏区校级月考）在ABC ∆中，若2|sin tan )0A B +-=，则C ∠的度数是75︒．【解答】解： 22|sin |tan )02A B -+=，sin 02A ∴-=tan 0B -=，则sin 2A =，tan B =，45A ∴∠=︒，60B ∠=︒，18075C A B ∴∠=︒-∠-∠=︒，故答案为：75︒．14．（2分）（2004•河北）若将二次函数223y x x =-+配方为2()y x h k =-+的形式，则y =2(1)2x -+．【解答】解：22223(21)2(1)2y x x x x x =-+=-++=-+故本题答案为：2(1)2y x =-+．15．（2分）（2019秋•姑苏区校级月考）若1(4,)A y -，2(1,)B y -，3(2,)C y 为二次函数2(2)3y x =-++的图象上的三点，则1y ，2y ，3y 小关系是213y y y >>．【解答】解：2(2)3y x =-++的开口向下，对称轴为直线2x =-，1(4,)A y -、2(1,)B y -、3(2,)C y 三点到对称轴的距离分别为2，1，4，213y y y ∴>>，故答案为213y y y >>．16．（2分）（2016•贵州一模）如果把抛物线221y x =-向左平移1个单位，同时向上平移4个单位，那么得到的新的抛物线是22(1)3y x =++．【解答】解：原抛物线的顶点为(0,1)-，向左平移1个单位，同时向上平移4个单位，那么新抛物线的顶点为(1,3)-；可设新抛物线的解析式为22()y x h k =-+，代入得：22(1)3y x =++．17．（2分）（2016•菏泽）如图，在正方形ABCD 外作等腰直角CDE ∆，DE CE =，连接BE ，则tan EBC ∠=13．【解答】解：作EF BC ⊥于F ，如图，设DE CE a ==，CDE ∆为等腰直角三角形，CD ∴==，45DCE ∠=︒， 四边形ABCD为正方形，CB CD ∴==，90BCD ∠=︒，45ECF ∴∠=︒，CEF ∴∆为等腰直角三角形，22CF EF ∴===，在Rt BEF ∆中，12tan 3EFEBF BF∠==，即1tan 3EBC ∠=．故答案为13．18．（2分）（2019秋•姑苏区校级月考）如图，已知抛物线2y x px q =-++的对称轴为直线3x =-，过其顶点M 的条直线y kx b =+与该抛物线的另一个交点为(1,1)N -．若要在y 轴上找一点P ，使得PM PN +最小，则点P 的坐标为(0,2)．【解答】解：如图，作N 点关于y 轴的对称点N '，连接MN '交y 轴于P 点，将N 点坐标代入抛物线，并联立对称轴，得3211pp q ⎧-=-⎪-⎨⎪--+=⎩，解得64p q =-⎧⎨=-⎩，2264(3)5y x x x =---=-++，(3,5)M -．N 点关于y 轴的对称点(1,1)N '，设MN '的解析式为y kx b =+，将M 、N '代入函数解析式，得135k b k b +=⎧⎨-+=⎩，解得12k b =-⎧⎨=⎩，MN '的解析式为2y x =-+，当0x =时，2y =，即(0,2)P ，故选：A ．三、解答题：19．（10分）（2019秋•姑苏区校级月考）计算：（1）2sin 303cos 604tan 45︒+︒-︒；（2）201sin 4527(32016)6tan 302︒-+-+︒．【解答】解：（1）2sin 303cos 604tan 45︒+︒-︒11234122=⨯+⨯-⨯3142=+-32=-；（2）201sin 452016)6tan 302︒-+-+︒2162=-+⨯1122=-+1=-．20．（6分）（2013秋•锡山区校级期中）如图，在Rt ABC ∆中，90C ∠=︒，10AB =，1tan 2A ∠=，求BC 的长和sinB ∠的值．【解答】解：1tan 2BC A AC ∠== ，2AC BC ∴=，在Rt ABC ∆中，222AC BC AB +=，即222(2)10BC BC +=，解得BC =，2AC BC ∴==sin 105AC B AB ∠===．21．（6分）（2018•上海）如图，已知ABC ∆中，5AB BC ==，3tan 4ABC ∠=．（1）求边AC 的长；（2）设边BC 的垂直平分线与边AB 的交点为D ，求ADDB的值．【解答】解：（1）作A 作AE BC ⊥，在Rt ABE ∆中，3tan 4AE ABC BE ∠==，5AB =，3AE ∴=，4BE =，541CE BC BE ∴=-=-=，在Rt AEC ∆中，根据勾股定理得：223110AC =+；（2）DF 垂直平分BC ，BD CD ∴=，52BF CF ==，3tan 4DF DBF BF ∠== ，158DF ∴=，在Rt BFD ∆中，根据勾股定理得：2251525()()288BD =+=，2515588AD ∴=-=，则35AD BD =．22．（6分）（2014•泉州）如图，已知二次函数2()3y a x h =-+的图象经过原点(0,0)O ，(2,0)A ．（1）写出该函数图象的对称轴；（2）若将线段OA 绕点O 逆时针旋转60︒到OA '，试判断点A '是否为该函数图象的顶点？【解答】解：（1） 二次函数2()3y a x h =-+(0,0)O ，(2,0)A ．解得：1h =，3a =，∴抛物线的对称轴为直线1x =；（2）点A '是该函数图象的顶点．理由如下：如图，作A B x '⊥轴于点B ，线段OA 绕点O 逆时针旋转60︒到OA '，2OA OA ∴'==，60A OA ∠'=︒，在Rt △A OB '中，30OA B ∠'=︒，112OB OA ∴='=，33A B OB ∴'==，A ∴'点的坐标为3)，∴点A '为抛物线23(1)3y x =--+23．（6分）（2018•合肥模拟）某片绿地的形状如图所示，其中60A ∠=︒，AB BC ⊥，AD CD ⊥，200AB m =，100CD m =，求AD 、BC 的长．（精确到1m 3 1.732)≈【解答】解：如图，延长AD ，交BC 的延长线于点E ，在Rt ABE ∆中，由200AB m =，60A ∠=︒得tan 2003BE AB A m == 400cos60ABAE m==︒在Rt CDE ∆中，由100CD m =，9030CED A ∠=︒-∠=︒，得2200CE CD m ==，1003tan CDDE mCED==∠4001003227AD AE DE m m ∴=-=-≈2003200146BC BE CE m=-=-≈答：AD 的长约为227m ，BC 的长约为146m ．24．（9分）（2015•巴中模拟）二次函数的图象经过点(0,3)A -，(2,3)B -，(1,0)C -．（1）求此二次函数的关系式；（2）求此二次函数图象的顶点坐标；（3）填空：把二次函数的图象沿坐标轴方向最少平移5个单位，使得该图象的顶点在原点．【解答】解：（1）设23y ax bx =+-，把点(2,3)-，(1,0)-代入得423330a b a b +-=-⎧⎨--=⎩，解方程组得12a b =⎧⎨=-⎩，则223y x x =--；（也可设2(1))y a x k =-+（2）2223(1)4y x x x =--=--，故函数的顶点坐标为(1,4)-；（3）|10||40|5-+--=．故答案为：5．25．（9分）（2019•高台县二模）如图，某人在山坡坡脚A 处测得电视塔尖点C 的仰角为60︒，沿山坡向上走到P 处再测得点C 的仰角为45︒，已知100OA =米，山坡坡度（竖直高度与水平宽度的比）1:2i =，且O 、A 、B 在同一条直线上．求电视塔OC 的高度以及此人所在位置点P 的铅直高度．（测倾器高度忽略不计，结果保留根号形式）【解答】解：作PE OB ⊥于点E ，PF CO ⊥于点F ，在Rt AOC ∆中，100AO =，60CAO ∠=︒，tan 60CO AO ∴=︒= （米)．设PE x =米，1tan 2PE PAB AE ∠== ，2AE x ∴=．在Rt PCF ∆中，45CPF ∠=︒，CF x =-，1002PF OA AE x =+=+，PF CF = ，1002x x ∴+=-，解得1)3x -=（米)．答：电视塔OC 高为米，点P 的铅直高度为1)3-（米)．26．（10分）（2011•连云港）如图，抛物线212y x x a =-+与x 轴交于点A ，B ，与y 轴交于点C ，其顶点在直线2y x =-上．（1）求a 的值；（2）求A ，B 的坐标；（3）以AC ，CB 为一组邻边作ACBD ，则点D 关于x 轴的对称点D '是否在该抛物线上？请说明理由．【解答】解：（1） 抛物线212y x x a =-+其顶点在直线2y x =-上．∴抛物线212y x x a =-+，21(2)2x x a =-+，211(1)22x a =--+，∴顶点坐标为：1(1,)2a -+，2y x ∴=-，1212a -+=-⨯，32a ∴=-；（2）二次函数解析式为：21322y x x =--， 抛物线21322y x x =--与x 轴交于点A ，B ，213022x x ∴=--，整理得：2230x x --=，解得：1x =-或3，(1,0)A -，(3,0)B ；（3）作出平行四边形ACBD ，作DE AB ⊥，在AOC ∆和BDE ∆中DEB AOC DBE CAO BD AC ∠=∠⎧⎪∠=∠⎨⎪=⎩()AOC BED AAS ∴∆≅∆，1AO = ，1BE ∴=，二次函数解析式为：21322y x x =--，∴图象与y 轴交点坐标为：3(0,)2-，32CO ∴=，32DE ∴=，D 点的坐标为：3(2,)2，∴点D 关于x 轴的对称点D '坐标为：3(2,2-，代入解析式21322y x x =--， 左边32=-，右边13342222=⨯--=-，D ∴'点在函数图象上．27．（10分）（2013•龙湖区模拟）为缓解“停车难”的问题，某单位拟建筑地下停车库，建筑设计师提供了该地下停车库的设计示意图，按规定，地下停车库坡道口上方要张贴限高标志，以便告知停车人车辆能否安全驶入，为标明限高，请你根据该图计算CE ．（精确到0.1)m （下列数据提供参考：sin 200.3420︒=，cos 200.9397︒=，tan 200.3640)︒=【解答】解：20BAD ∠=︒ ，9AB =，tan 2090.3640 3.276()BD AB m ∴=︒=⨯= ，0.5BC = ，3.2760.5 2.776()CD BD BC m ∴=-=-=，在Rt CDE ∆中，20DCE A ∠=∠=︒，cos cos 20 2.7760.9397 2.6()CE CD CDE CD m ∴=∠=︒=⨯≈ ．答：CE 的长约为2.6m ．28．（12分）（2011•西城区二模）如图1，在Rt ABC ∆中，90C ∠=︒，9AC cm =，12BC cm =．在Rt DEF ∆中，90DFE ∠=︒，6EF cm =，8DF cm =．E ，F 两点在BC 边上，DE ，DF 两边分别与AB 边交于G ，H 两点．现固定ABC ∆不动，DEF ∆从点F 与点B 重合的位置出发，沿BC 以1/cm s 的速度向点C 运动，点P 从点F 出发，在折线FD DE -上以2/cm s 的速度向点E 运动．DEF ∆与点P 同时出发，当点E 到达点C 时，DEF ∆和点P 同时停止运动．设运动的时间是t （单位：)s ，0t >．（1）当2t =时，PH =52cm ，DG =cm ；（2）t 为多少秒时PDE ∆为等腰三角形？请说明理由；（3）t 为多少秒时点P 与点G 重合？写出计算过程；（4）求tan PBF ∠的值（可用含t 的代数式表示）．【解答】解：（1）当2t =，得到2BF =，4PF =，根据::BF BC HF AC =，即可求出HF ，从而得到PH ；8BE =，利用Rt BEG Rt BAC ∆∆∽，可求出EG ，得到DG 由题意即：52PH =，265DG =；（2）只有点P 在DF 边上运动时，PDE ∆才能成为等腰三角形，且PD PE =．（如图1)BF t = ，2PF t =，8DF =，82PD DF PF t ∴=-=-．在Rt PEF ∆中，22222436PE PF EF t PD =+=+=．即22436(82)t t +=-．解得78t =．t ∴为78时PDE ∆为等腰三角形；（3）设当DEF ∆和点P 运动的时间是t 时，点P 与点G 重合，此时点P 一定在DE 边上，DP DG =．由已知可得93tan 124AC B BC ===，63tan 84D ==，B D ∴∠=∠，又90D DEB ∠+∠=︒ ，90B DEB ∴∠+∠=︒，90DGH BFH ∴∠=∠=︒．3tan 4FH BF B t ∴== ，384DH DF FH t =-=-，34332cos (8)4555DG DH D t t ==-=-+ ，2DP DF t += ，28DP t ∴=-．由DP DG =得，3322855t t -=-+，解得7213t =，724613<< ，则此时点P 在DE 边上．t ∴的值为7213时，点P 与点G 重合．（4）当04t < 时，点P 在DF 边上运动（如图1)，tan 2PF PBF BF ∠==．当46t < 时，点P 在DE 边上运动（如图2)，作PS BC ⊥于S ，则tan PS PBF BS ∠=；可得10(28)182PEDE DPt t =-=--=-．此时4872cos cos (182)555PS PE EPS PE D t t =∠==-=-+ ，3654sin sin (182)555ES PE EPS PE D t t =∠==-=-+ ，65411246()5555BS BF EF ES t t t ∴=+-=+--+=-，728tan 1124PS t PBF BS t -∴∠==-，综上所述，2(04)tan 728(46)1124t PBF t t t <⎧⎪∠=-⎨<⎪-⎩ ．（以上时间单位均为s ，线段长度单位均为)cm。
2020年苏州市景范中学校高三英语上学期期中试题及答案解析
2020年苏州市景范中学校高三英语上学期期中试题及答案解析第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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ARed Tourism Sites inShanghaiThis year marks the 100th anniversary of the founding of the Communist Party of China (CPC). Many Chinese people are planning to visit red tourism attractions in the coming summer vacation. The following are some red tourism sites inShanghai.Former Site of the Editorial Department ofNew YouthRevolutionary magazineNew Youth,which created the New Culture Movement and spread the influence of the May Fourth Movement, was established by Chen Duxiu inShanghaiin 1915. The editorial office moved toBeijingin 1917 when Chen Duxiu was head of liberal arts atPekingUniversitybut moved back toShanghaithree years later.Address: No. 2,100 Nanchang Road, Huangpu districtFormer Residence of Chen WangdaoThis three-story building was the home of famous scholar and educator Chen Wangdao. In 1920, Chen completed the first Chinese translation ofThe Communist Manifesto(共产党宣言). He also served as President of Fudan University from 1952 to 1977.Address:51 Guofu Road, Yangpu districtHuangpu Wharf (码头)HuangpuWharfin Yangpu district was the place for about 650 Chinese students who headed toFrancefrom March 1919 to December 1920 to further their studies. They included Zhou Enlai, later the first premier of thePeopledRepublicofChina, and Deng Xiaoping, later the leader of the PRC.Address:32 Qinhuangdao Road, Yangpu districtThe Memorial of the Site of the First National Congress of the Communist Party ofChinaThe two-story building was completed in 1920 as the residence of CPC founding member Li Hanjun. On July 23, 1921, thirteen members held their first national congress of the Communist Party of China here, marking the birth of the Party.Address:76 Xingye Road, Huangpu district1. When did the editorial office ofNew Youthreturn toShanghai?A. In 1915.B. In 1919.C. In 1920D. In 1921.2. What do we know about Chen Wangdao according to the text?A. He established theNew Youthmagazine.B. He first translatedThe Communist Manifestointo Chinese.C. He went toFrancefor further study.D. He held the first national congress of the CPC.3. Which site was the birthplace of the Communist Party of China?A. Former Site of the Editorial Department, of New Youth.B. Former Residence of Chen Wangdao.C.HuangpuWharf.D. The Memorial of the Site of the First National Congress of the CPC.B“One person’s trash is another person’s treasure.” That’s a common expression, but the next time you throw something away, think about a twist on the old saying. What if your trash could become your own treasure? Many creative, thrifty, and environmentally minded people have come up with a way to makethathappen. It’s called upcycling. Our world would be a better place if everyone would begin upcycling.Upcycling is the practice of taking an unwanted item and turning it into something useful. For example, how about that pair of jeans with a hole in one knee? It could become a new pillow for your bedroom.Upcycling is not the same as recycling. Upcycling is actually much better for the environment. Recycling takes an item made of glass, paper, metal, or plastic, breaks it down to its base material, and then uses that material to make another product. This requires a great deal of energy. On the other hand, when you choose to upcycle, the only energy you use is your own. And upcycling not only reduces the amount of trash that goes into our landfills, but it also protects natural resources, such as oil and gas. Recycling is good for the environment, but upcycling is even better.Upcycling also makes a family’s budget stretch further. Of course, the idea of reusing items to save money is not new. During the Great Depression in the 1930s, many families lived on a tight budget. People had to use whatthey already had in order to meet their needs.As responsible citizens, we should all be concerned with protecting our environment and budgeting our resources. Upcycling is a fun and creative way to help. The next time you go to toss something into the trash can, stop and think about what it could become. Chances are, there’s a brand-new item in your hand just waiting to be upcycled.4. Why does the author mention an old saying in the first paragraph?A. To arise reader’s awareness of upcycling.B. To stress the importance of upcycling.C. To lead in the topic of upcycling.D. To show the idea of upcycling.5. Which one below belongs to upcycling?A. An old ladder is transformed into a bookshelf.B. Old tin cans are transported to landfill.C. A broken wooden door is chopped up.D. Old cloth is made into a paper bed.6. What is the difference between recycling and upcycling?A. Upcycling is much more creative.B. Recycling is much easier to achieve.C. Recycling is much more cost-saving.D. Upcycling is much more energy-efficient.7. What can be inferred from the text?A. Upcycling is popular at present.B. Upcycling is replacing recycling.C. Upcycling is worth recommending.D. Upcycling is a tradition in daily life.CA team of engineers atHarvardUniversity in trying to create the first robotic fly. Designed to do what a fly does naturally, the tiny is the size of a fat housefly. Its mini wings allow it to stay in the air and perform controlled flight tasks."The added difficulty with a project like this is that actually none of its components is off the shelf and so wehave to develop them all on our own’ said Robert Wood, a Harvard engineering professor.They engineered a series of systems to start and drive the robotic fly. “The seemingly simple system which just moves the wings hasa number of interdependencies (相互依赖）on the individual components, each of which individually has to perform well, but then has to be matched well to everything it d connected to,” said Wood.While this first robotic flyer is linked to a small, off-board power source, the goal is eventually to equip it with a built-in power source, so that it might someday perform data-gathering work at rescue sites，in farmers’ fields or on the battlefield. "Basically it should be able to take off, land and fly around，” he said.Wood says the design offers a new way to study flight mechanics and control at insect-scale. Yet, the power, sensing and computation technologies on board could have much broader applications.“You can start thinking about using them to answer open scientific questions, you know, to study biology in ways that would be difficult with the animal，but using these robots instead” he said. "So there are a lot of technologies and open interesting scientific questions that are really what drives us on a day-to-day basis.”8. What is the typical characteristic of the robotic fly?A. It's automatic.B.It's very small.C. It's controllable.D. It's quite powerful.9. We can infer from the passage that the robotic flyer can____ .A. act as a spy planeB. help do farm workC.fly at a very high speedD. answer many scientific questions10. What is Wood's idea about the robotic fly according to the last paragraph?A. It is highly questionable.B. It has wide practical applications.C. It gives scientists interest in flying machines.D. It points to a new direction in studying biology.11. What can be the best title for the passage?A. Harvand's Study in the Field of Insects.B. A Breakthrough in Engineering ScienceC. An Interesting Invention一Robotic FlyD. Robotic Fly一a Copy of Real Life InsectDOne day when I was 5, my mother criticized me for not finishing my rice and I got angry. I wanted to playoutside and not to be made to finish eating my old rice. In my angry motion to open the screen door (纱门) with my foot, I kicked back about a 12-inch part of the lower left hand corner of the new screen door. But I had no regret, for I was happy to be playing in the backyard with my toys.Today, I know if my child had done what I did, I would have criticized my child, and told him about how expensive this new screen door was, and I would have delivered a spanking (打屁股) for it. But my parents never said a word. They left the corner of the screen door pushed out, creating an opening, a crack in the defense against unwanted insects.For years, every time I saw that corner of the screen, it would remind me of my mistake from time to time. For years, I knew that everyone in my family would see that hole and remember who did it. For years, every time I saw a fly buzzing in the kitchen, I would wonder if it came in through the hole that I had created with my angry foot. I would wonder if my family members were thinking the same thing, silently blaming me every time a flying insectentered our home, making life more terrible for us all. My parents taught me a valuable lesson, one that a spanking or stern (严厉的) words perhaps could not deliver. Their silent punishment for what I had done delivered a hundred stern messages to me. Aboveall, it has helped me become a more patient person and not burst out so easily.12. When the author damaged the door, his parents _______.A. scolded him for what he had doneB. left the door unrepairedC. told him how expensive it wasD. gave him a spanking13. How did the author feel every time he saw the damaged door?A. He felt ashamed of his uncontrolled anger at that time.B. He found that his family members no longer liked him.C. He found it destroyed the happy atmosphere at his home.D. He felt he had to work hard to make up for (弥补) the damage.14. The experience may cause the author _______.A. to hide his anger away from othersB. not to go against his parents’ willC. to have a better control of himselfD. not to make mistakes in the future15. What of the following is the main idea of this passage?A. Adults should ignore their children’s bad behavior.B. Parents shouldn’t educate their children.C. What is the best way to become a more patient person?D. Silent punishment may have a better effect on educating people.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
江苏省苏州市景范中学2018-2019学年初一上期中考试数学试题及答案
江苏省苏州市景范中学2018-2019学年初一上期中考试数学试题及答案一、选择题（30分）请将正确选项填写在表格内 二、填空题（20分）11、 ． 12、 ． 13、 ． 14、 ．15、系数是_______； 次三项式． 16、 ． 17、 ． 18、 ．（结果保留π） 19、 . 20、 .三、解答题（50分） 21、计算：（16分）（1（2）（3（422、化简或求值：（14分） （1）．（2） 3(22)(23)1m n m n -+----．考场号______________ 座位号____________ 班级__________ 姓名____________ 成绩____________ ————————————————————————装订线————————————————————————————（3）（4）23、解方程：（8分）⑴x x -=+2)2(3 ；24、（6分）（1） 1＋3＋5＋7＋9＋…＋27＋29＝ . （2） 13＋15＋17＋…＋197＋199＝______________．（3） 0到200之间，所有能被3整除的奇数的和为_____________．25、（6分）（1）有 个是3个面涂有颜色的，有 个是2个面涂有颜色的，还有 个是各个面都没有涂色的。
（2）有 个是各个面都没有涂色的。
（3）n= ．参考答案一、选择题（每题3分，共30分）二、填空题（每题2分，共20分）三、11、 -5或3 12、 0 13、 0 14、20122- 15 、23-, 二 16、 4 17、 13 18、2a π 19、 2 20、 -1 解答题（共50分）21、计算：（每题4分，共16分）（1）原式= 1255--+- （2分） = 1- （2分） （2）原式=812(1)-+-⨯- （2分）72=-+ （1分）5=- （1分）（3）原式441819916=⨯⨯⨯ （2分）1= （2分）（4）原式711126()369126=--+⨯（1分）26(28336)=--+ （2分）22、25=（1分）化简或求值（14分）（1）原式2()(2)2(1)a b a c b ac =-+--+-- 41a =-+ （3分） （2）原式366231m n m n =-+++-（3）14x =-,2y = （2分） 化简结果22y xy + （1分） 带入求值结果为3 （1分） （4）①361569A B ab a +=--（2分）②1560ab a -= （1分） 156ab a = 25b =（1分） 23、解方程：（每题4分，共8分） （1）362x x +=- （1分） 44x =- （1分） 1x =- （2分）（2）182(21)183(1)x x x +-=--（2分） 2523x = （1分）2325x =-（1分）24、（每空2分）（1） 225 （2） 2018 （3） （共6分，前4空每空1分，最后一空2分） （1） 8 12 1 （2） 8 （3） 7。
2019-2020学年苏州市景范中学校高三英语上学期期末试卷及答案解析
2019-2020学年苏州市景范中学校高三英语上学期期末试卷及答案解析第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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AThank you. It’s my great honor to be given this award.You cannot imagine that I have always been a late starter. Years ago, when I was 16, I took an important exam — GCE(General Certificate of Education), which turned out to be a failure. My dad was reading my report card and saw that my position in class was 29th, but the number in class was 29. It meant that I had achieved the distinction of being bottom of my class.I wasn’t lazy, and I was really trying. You can picture how I felt. Dad put his hand on my shoulder and said, “You can only do the best you can, but whatever you decide to do, make sure you love it.” He was a really sweet guy and a great man. I knew his attempt to hide his disappointment with some of his encouraging words. I was depressed for a week, but his advice was a wake-up call.Fortunately I love working with my hands, and I was good at two things: woodwork and art, and I really loved to draw and paint. I was quite talented. Dad strongly encouraged me to go to art school, which in those days wasn’t the obvious place that a father would suggest.So I got into Hartlepool College of Art. The college was a revelation (出乎意料), the passionate teachers there, who were extremely interested in the students, not just tolerating them but actually engaging with them. It was a world apart from my schooling until then. It’s extraordinary what an enthusiastic teacher can do, drawing the student out, lighting independence, and encouraging a design of your own future, rather than waiting for something to happen. I’m honored to have become one of these passionate teachers years later.My teachers inspired me, and thanks to my dad, here I am tonight. I think I should mention all the talents I have worked with over time, and to my kids and my wife Giannina, thank you.Thank you for this great award. I shall find a very special place for it.1. How did the author feel after taking GCE?A. Happy.B. Upset.C. Tired.D. Relieved.2. What didHartlepoolCollege of Art impress the author most?A. The teachers were strict with students.B. The students set good examples for each other.C. The teachers inspired students’ passion for learning.D. The students got prepared for their lessons independently.3. The author gave this speech to ________.A. share his career choiceB. explain his teaching methodsC. describe his life experienceD. show his appreciationBThe relationship between humans and the Amazon Rainforest has not always been a harmonious one. However, recent research suggests that the native peoples ofthe Putumayo region helped to protect the rainforest, leaving it unchanged for 5,000 years. Perhaps humans’ coexisting with nature is possible after all.The study, published in PNAS, looked at soil samples in the Putumayo region of the Amazon in Peru to find how humans influenced the land. The researchers found that the trees still growing in the region today have been growing there for the last 5,000 years — evidence that the area has not been home to cities and farmland in that time. Traces of charcoal(木炭) found in the, soil, however, indicate that people did live there; they just did so in a way that had minimum influence on their environment.To come to these conclusions the team dug a 0.6-0.9 meter deep column into the ground, taking samples of soilfrom different heights along the column. Back in the lab, samples were carbon- dated to determine their age and then sorted under a microscope to look for microscopic mineral particles, known as phytoliths (植硅体). Phytoliths are essential evidence of plants— they remained in the soil thousands of years after the plant died. So researchers can use them to tell which plants have grown in an area in the past.Over 5,000 years’ worth of samples, no species loss was detected. These findings suggest that contrary to common belief, the Amazon is not untouched by humans, but rather has been protected by them for thousands of years. The management of the rainforest by native peoples appears to have been vital in preserving its biodiversity and will continue to be important in the fight to prevent it from acollapse.As Nigel Pitman, a co-author on the paper, said: “Since this particular forest is still being protected by native peoples, I hope this study reminds us all how important it is to support their work.”4. How did native peoples deal with the rainforest in the region of Putumayo?A. They always destroyed the rainforest.B. They had a side effect on the rainforest.C. They never lived in the area of the forest.D. They had been in harmony with the forest.5. What did the researchers try to find in the Amazon forest in Peru?A. The diversity of the plants in the rainforest.B. The evidence of human influence on the forest.C. The nutrition of the soil samples in the rainforest.D. The survival age of growing trees in the rainforest.6. What does the underlined word “collapse” mean in Paragraph 4?A. Sudden decrease.B. Bad management.C. Poor preservation.D. Over development.7. What can be inferred from Nigel Pitman's words?A. Native peoples should protectthe rainforest.B. We should help protect the Amazon Rainforest.C. More science research should be done on rainforest.D We should make good use of the Amazon Rainforest.CI’ve long believedthat positive living isn’t about being optimistic every minute of every day. That kind of permanently happy state can’t be the goal, because it’s impossible to achieve.It turns out that psychological research finds true happiness comes from authentic positivity, and authentic positivity comes from emotional flexibility.Being flexible emotionally means being open to the full range of emotional experiences, including the challenging ones like anger, disappointment and sadness. Emotional flexibility means being able to shift behaviors and mindsets to meet different situational needs, and adapting when circumstances change.However, emotionally flexible people are not chameleons (变色龙) whose outlook changes based on which way the wind is blowing. Instead, emotional flexibility is a skill that helps people judge the complexities of daily life, and stick to their deeply held values.I’ve learned a new word that I’d like to share with you: Eudaimonia (幸福感). Eudaimonia is the opposite of hedonism (享乐主义), the idea that happiness comes from the constant pursuit of pleasure and avoidance of pain. Eudaimonia, by contrast, encourages us to pursue meaning and authenticity, growth and honest joy. Both arephilosophical approaches to happiness, and recent psychological thought is leaning toward eudaimonia as a more sustainable, satisfying model.Eudaimonia was first mentioned by Aristotle, who got the term from the Greek word “daimon,” which means “true nature.” Tome, walking a positive path means accepting that we each have positive true nature and permanent goodness. What we learn from the concept of eudaimonia is that we are best equipped to realize this nature when we are emotionally honest and flexible.8. What is the author’s belief?A. People should live alone.B. People can’t always be happy.C. People can’t always achieve their goals.D. People should pursue true achievements.9. What do enmotionally flexible people commit themselves to?A. Their strongly believed values.B. Their different needs.C. Permanent happiness.D. The pursuit of hedonism.10. How can people gain eudaimonia according to the author?A. By being honest to others.B. By changing true nature.C. By keeping realstically optimistic.D. By pursuing pleasure constantly.11. Which of the following is a suitable title for the text?A. What is the meaning of eudaimonia?B. What should we do to keep positive?C. How can we keep happy forever?D. Why can’t people be happy all the time?DOwning a dog is associated with a significantly lower risk of heart disease and death, according to a comprehensive new study published by a team of Swedish researchers on Friday in the journal Scientific Reports.The scientists followed 3.4 million people over the course of 12 years and found that adults who lived alone and owned a dog were 33 percent less likely to die during the study than adults who lived alone without dogs. In addition, the single adults with dogs were 36 percent less likely to die from heart disease.“Dog ownership was especiallyprominentas a protective factor in persons living alone, which is a group reported previously to be at higher risk of heart disease and death than those living in a multi-person household,”Mwenya Mubanga, a Ph.D. student at Uppsala University in Uppsala, Sweden, and the lead junior author of the study, said in a statement announcing its findings. The link between dog ownership and lower mortality(死亡率)was less pronounced in adults who lived either with family members or partners, but still present, according to the study. “Perhaps a dog may stand in as an important family member in the single households,” Mubanga added. “Another interesting findingwas that owners of dogs which were intended originally for hunting were most protected.”The study, which is the largest to date on the health relations of owning a dog, suggested that some of the reasons dog owners may have a lower risk of mortality and heart disease were because dog owners walk more. “These kind of epidemiological (流行病学的)studies look for associations in large populations but do not provide answers on whether and how dogs could protect their owners from heart disease,” Tove Fall, a senior author of the study and a professor at Uppsala University, said in a statement“We know that dog owners in general have a higher level of physical activity, which could be one explanation to the observed results,” Fall added. “Other explanations include an increased well-being and social contacts or effects of the dog on the bacterial microbiome(微生物菌群) in the owner.” Fall added that because all participants of dog owners in Sweden or other “European populations with similar culture regarding dog ownership.”12. Why did the researchers do the study related to 3.4 million people’s health and the dogs?A. To help Europeans,B. To find their association.C. To protect unhealthy adults.D. To reduce risk of heart disease.13. What does the underlined word “prominent” probably mean in Para.3?A. Universal.B. Confusing.C. Appealing.D. Important14. What’s the main idea of the text?A. Adults living with dogs are less likely to die.B. Swedish people are very fond of animal pets.C. Keeping a dog is a popular and healthy hobby.D. Owning dogs reduces the risk of heart disease.15. What’s the writer’s attitude towards owning a dog?A. Positive.B. Negative.C. Objective.D. Contradictory.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2019-2020学年苏州市景范中学校高三英语上学期期末试题及参考答案
2019-2020学年苏州市景范中学校高三英语上学期期末试题及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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ABest Places to Visit in JulyNorway's FjordsMost travelers prefer to visit Norway's famous fjords (峡湾) in July because Norway has about 23 hours of daylight, giving travelers lots of time to take in the spectacular views of blue water, glaciers and mountains. July is also whenNorway's weather is at its warmest, about18℃, so travelers might include a light sweater in their luggage.Bastille Day inParisJuly 14 is a national day celebrating independence to the French. July 14, 1789, is the day the French stormed the Bastille, aParisprison, and officially began the French Revolution, overthrowing a royal government that often threw people in prison there for no reason at all. While the day is marked all overFrance, the biggest celebration takes place inParis.Masai Mara National ReserveThe thrill of seeing millions of animals wander the plains inKenyais not easily forgotten. One of the most popular months to visit the Masai Mara is in July when the famous wildlife migration reaches the Masai Mara and zebras are at their highest number. The best times to view the animals inKenya's most popular game park are dawn and dusk.Running of the Bulls inPamplonaTravelers who pride themselves on being fast runners may want to head toPamplonain July for the San Femin Festival. A key part of this annual festival is the running of the bulls. Six bulls are released onto a narrow street fora half-mile run, with hundreds of runners seeing if they can run faster than the animals.1. What can visitors do inNorway's in July?A. Enjoy the impressive scenery.B. Swim and fish in the fjords.C. See daylight around the clock.D. Buy heavy sweaters to keep warm.2. Which of the following is of historical significance?A. San Fermin Festival.B. Bastille Day.C. Masai Mara National Reserve.D.Norway's Fjords.3. Where will visitors interested in wild animals go?A. Norway.B. Paris.C. Masai Mara.D.Pamplona.BA new study suggests drinking coffee as soon as someone wakes up from a poor night’s sleep greatly affects metabolism(新陈代谢) and blood sugar control.In the study, published in theBritish Journal of Nutrition, UK researchers let 29 healthy men and women take part in three different overnight experiments. In the first two scenes, participants were given a sugary drink uponwaking—first from a normal night’s sleep, and then again after a poor night’s sleep during which they were woken up for five minutes every hour. In the third, their sleep was similarly disrupted, but they were given a strong black coffee 30 minutes before consuming the sugary drink.Blood samples from participants were taken following the sugary drink, which mirrored the calories of a typical breakfast, in each experiment. Results showed that one night of disrupted sleep did not worsen the participants’ blood sugar responses at breakfast when compared to a normal night of sleep. However, strong black coffee consumed before breakfast increased the blood sugar response by around 50 percent.By drinking such kind of drink after breakfast, UK researchers found that our bodies’ ability to break down our food healthily is completely improved. Examining the effects of broken sleep and morning coffee across a range of different metabolic markers, scientists at the University of Bath found that, while one night of poor sleep had a limited effect on metabolism, drinking coffee before breakfast could have a negative effect on blood sugar control.“We know that nearly half of us will wake in the morning and, before doing anything else, drink coffee—the more tired we feel, the stronger the coffee is. This simple study is important and has far-reaching health influences, and it indeed moves some coffee drinkers’ heartstrings. As up to now we have had limited knowledge about what this is doing to our bodies, in particular for our metabolic and blood sugar control, so we have a long way to go.” said Professor James Betts, co-director of the Centre for Nutrition, Exercise and Metabolism at the University of Bath.4. How did UK researchers get the result of the experiment?A. By making comparisons.B. By consulting journals.C. By questionnaire.D. By assumption.5. What can we learn from the experiment?A. One night of poor sleep surely affects blood sugar.B. Drinking coffee after breakfast does harm to health.C. Having strong drinks has a good effect on metabolism.D. Drinking coffee at different time has different effects on health.6. What does James Betts think of the study?A. It makes no sense.B. It remains to be continued.C. It is limited and blind.D. It is particular and explicit.7. What can be the best title for the text?A. How Much Coffee to Drink MattersB. Does Coffee Really Wake Up an Appetite?C. How Does Drinking Coffee Affect One’s Sleep?D. Drinking Coffee before Breakfast Harms MetabolismCTwenty years ago, I became involved in pet therapy(疗法) work with our Angel. As she matured and went through professional training, we realized that she would be good at this new job.Angel is ten now and works every week. She visits two hospitals providing day care for the elderly, and our library’s PAWS forReadingprogram. At the library, six to ten dogs lie on the floor, and the kids pick a book to read to a dog. After they finish, they get a card with the dog’s picture and history. Angel also helps out at a special-needs camp. She is so popular that everywhere we go people recognize her, especially the kids she has worked with.We have seen some very special things through our pet therapy work. I brought Angel to our local hospital to visit a woman who was completely unable to move the right side of her body from a stroke(中风). One day, my husband, Jack, got Angel up into a chair next to the woman’s bed, asking her if she wanted to give Angel a treat. She nodded. Angel gently took the treat. Then the woman raised her right hand and started petting Angel. Her friend couldn’t believe her eyes.After that, every time we saw the woman, she lifted her left hand. We’d tell her she had to use her right hand, and she would. Next, you’ll fall in love with this woman’s story of rearing her own Angel later in her family and why she calls it the best decision she ever made.8. Who is Angel?A. A pet trainer.B. A hospitalC. A therapy dog.D. The author’s kid.9. What does Angel usually do?A. Save seriously ill people.B. Pay visits to kids in hospital.C. Protect the elderly in their homes.D. Help children at a special camp.10. Why was the woman’s friend astonished?A The woman moved her right hand.B. The woman treated Angel.C. Angel helped the woman recover.D. Angel got along with the woman.11. What does the underlined word “rearing” in the last paragraph mean?A. Accompanying.B. Raising.C. Assisting.D. Training.DSurfing the Internet for fun will make you a better employee, according to an Australian study.The University of Melbourne study shows that people who use the Internet for their own reasons at work are about 9 percent more productive than those who do not. Study author Brent Coker said, “Surfing the Internet at times helps increase an employee's attention.”“People need to relax for a bit to get back their attention,” Coker said on the university's website. “Having a short break, such as a quick surfing of the Internet, helps the mind to rest itself, leading to a higher total Internet attention for a day's work, and as a result, increases productivity (生产效率),” he said.According to the study of 300 workers, 70 percent of people who use the Internet at work surf the Internet for their own reasons during office hours. Among the most popular surfing activities are searching for information about products, reading online news, playing online games and watching videos. “Firms spend a lot of money on software toblocktheir employees from watching videos, using social networking sites or shopping online,” said Coker. “That's not always a good idea.”However, Coker said the study looked at people who surfed the Internet in moderation (适度), or were on the Internet for less than 20 percent of their total time in the office. “Those who spend too much time surfing theInternet will have a lower productivity than those without.” he said.12. What does the University of Melbourne study mainlyshow?A. People who surf the Internet are good employees.B. Not everyone surfs the Internet for fun during office hours.C. The Internet is becoming more and more important in people's life.D. Surfing the Internet for fun at times during office hours increases productivity.13. Which of the following is NOT mentioned in the passage as one of the most popular surfing activities?A. Watching videos.B. Reading online news.C. Reading online novels.D. Playing online games.14. The underlined word “block” in Paragraph 4 means “________”.A. stopB. organizeC. protectD. separate15. What can we infer from the last paragraph?A. Those who never surf the Internet have the lowest productivity.B. Spending too much time surfing the Internet reduces productivity.C. Most people don't surf the Internet in moderation during office hours.D. People should spend as little time as possible surfing the Internet.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2019-2020学年苏州市景范中学校高三英语上学期期末考试试题及答案
2019-2020学年苏州市景范中学校高三英语上学期期末考试试题及答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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ASevenhugs HugOneDo you want to improve the quality of your sleep? Sevenhugs has created HugOne that tracks different sleep patterns to help families consistently rest better. There are dozens of devices and tools devoted to monitoring the sleep. But, HugOne is the world’s first family smart home sleep system, which integrates a calculation rule for sleep patterns of children and adults.HugOne is a well-designed product, full of a sense of science and technology. It connects to a number of smaller sensors called “minihugs”, which are placed on the edge of each bed. They monitor the sleep patterns and other data coming from the person sleeping in that bed. The data arethen sent to an app on the smartphone.● The benefits of HugOne include:* Having a smart alarm clock on the app as HugOne learns your sleep cycle and automatically sets and sounds to when the best moment in your sleep cycle is identified.* Monitoring temperature and humidity in your bedroom as well as indoor air quality for the main living space.* Linking with smart lamps and thermostats, allowing users to fall asleep with sunset light and preferred nighttime temperatures, and wake up to sunrise light and preferred daytime temperatures.* Ensuring safety from electronic transmissions when you sleep-when the minihug senses a presence in bed, it shuts off its electronic transmissions and starts recording sleep data and sending them to the app.● The following are selected from customers’ comments:I prefer HugOne, since it’s convenient to use. I simply place the minihug in the corner of my bed under the sheet and it goes to work monitoring my sleep cycle. It’s really good.—Robert Compton● HugOne available for purchase includes:I think HugOne is a humanized product. It’s shareable, and I’ve connected eight minihugs to the HugOne base in my house. All my family members think highly of it.—Chris Hanawalt HugOne will provide maximum protection for your sleep. If you want to get more detailed information, please call the sellers at 1-800-576-1899 or .Style: Sleep Tracking System＋2 Sleep SensorsColour: Blue＋Rose1. How does HugOne effectively work?A. It controls sleep patterns automatically.B. It creates smart systems for a better sleep.C. It collects sleep data through the minihugs.D. It makes a calculation of the data sensors need.2. According to the passage, HugOne can ______.A. adjust temperature, humidity and air quality in bedroomsB. update the sleep cycles by aid of an alarm clock on the appC. record sleep data when there are electronic transmissions in bedD. help users fall asleep and wake up naturally with preferred temperatures3. The passage is made more believable by ______.A. providing statisticsB. drawing a comparisonC. giving a demonstrationD. using recommendationsBThe early life of the green sea turtle (海龟) is full of danger. Only one in 1,000 baby sea turtles survive to adulthood (成年). From its home in the sand, it breaks its egg with an egg tooth. Its mother is not there to help it. Instead, it is greeted by crabs, coyotes,and dogs waiting to eat it for dinner. To survive, the baby turtle must hide in the sand until night. Then, it moves slowly to the sea.The small turtle must swim hard to reach the ocean waters. In the sea, it tries hard to find food. It must also keep itself from being food for fish.As dangerous as the sea turtle’s life is in the natural world, its most dangerous enemies are humans. The rubbish left by humans in the ocean causes problems for the small green sea turtle. A little turtle might eat a piece ofplastic (塑料) in the sea. It might also eat oil on the ocean’s surface. Young turtles also get caught in fishing nets. There are laws against hunting sea turtles. Still, many are hunted, both for their meat and for their shells (壳). All of these dangers must be prevented.Sea turtles that do survive to grow into adulthood go through many changes. For example, adult green sea turtles weigh about 500 pounds. They stop eating jellyfish and other meat and eat only plants. And they may plan a trip to go back home again. A mother sea turtle goes back to the beach where she was born. This is the only place where she will lay eggs. Even if it has been forty years since she was a baby, she always knows her way back home.4. Why do baby turtles move to the sea at night?A. They dislike sunshine.B. They prefer lower temperatures.C. They can find food easily then.D. They need to avoid enemies.5. What does the author think of the young turtles in Paragraph 3?A. Pitiful.B. Careless.C. Interesting.D. Courageous.6. What can we learn about sea turtles?A. They mainly feed on fish and meat.B. They always produce eggs at their birthplaces.C. They can live for around forty years.D. They visit their beach homes several times a year.7. What is the text mainly about?A. The homes of green sea turtles.B. How sea turtles find their food.C. The dangers faced by sea turtles.D. How young turtles become adults.CBritish anthropologists (人类学家) Russell Hill and Robert Barton of the University of Durham, after studying the results of one-on-one boxing, tae kwon do, Greco-Roman wrestling and freestyle wrestling matches at the Olympic Games, conclude that when two competitors are equally matched in fitness and skill, the athlete wearing red is more likely to win.Hill and Barton report that when one competitor is much better than the other, colour has no effect on the result. However, when there is only a small difference between them, the effect of colour is enoughtipthe balance.The anthropologists say that the number of times red wins is not simply by chance, but that these results are statistically significant.Joanna Setchell, a primate (灵长目动物) researcher at the University of Cambridge, has found similar results in nature. She studies the large African monkeys known as mandrills. Mandrills have bright red noses that stand out against their white faces. Setchell’s work shows that the powerful males — the ones who are more successful with females — have a brighter red nose than other males.As well as the studies on primates by Setchell, another study shows the effect of red among birds. In an experiment, scientists put red plastic rings on the legs of male zebra finches and this increased the birds’ success with female zebra finches, Zebra finches already have bright red beaks (鸟喙), so this study suggests that, as with Olympic athletes, an extra flash of red is significant. In fact, researchers from theUniversityofGlasgowsay that the birds’ brightly coloured beaks are an indicator of health. Jonathan Blount, a biologist, andhis colleagues think they have found proof that bright red or orange beaks attract females because they mean that the males are healthier. Nothing in nature is simple, however, because in species such as the blue footed booby, a completely different colour seems to give the male birds the same advantage with females.Meanwhile, what about those athletes who win in their events while wearing red? Do their clothes give them an unintentional advantage? Robert Barton accepts that “that is the implication” of their findings. Is it time for sports authorities to consider new regulations on sports clothing?8. According to their research. Hill and Barton conclude that ________.A. the colour of clothing has an effect on most sport eventsB. red should be the choice of colour for clothing in sportsC. red plays a role when competitors are equally capableD. athletes perform better when surrounded by bright red9. The underlined word “tip” in Paragraph 2 is closest in meaning to ________.A. achieveB. advanceC. keepD. change10. The example of the blue footed booby proves that ________.A. male birds use different body parts to draw attentionB. red is not the only colour to attract female birdsC. blue gives female birds the same advantageD. blue can indicate how healthy a bird is11. What can be inferred from the passage?A. The colour red gives male animals the most advantage.B. Male zebra finches prefer to have red plastic rings on their legs.C. Rules on sports clothing are going to be changed.D. Athletes wearing red may have an advantage over their opponents.DKenyan mother Beth Mwende heard her sleeping child cry out, but did not worry after the three-year-old quickly quietened down. The next morning, however, she found her daughter, Mercy, nearly unconscious with two bite marks in the neck. “I didn’t know that it was a snake,” Mwende said.Although snakebites are common in her hometown, antivenom medication is difficult to get. Mwende lives about 160 kilometers east of Nairobi, Kenya’s capital. So she took her daughter to a traditional healer. He placed stones over the bites. Mercy died within hours. She was one of about 700 Kenyans killed by snakebites each year, notes a report in the scientific publicationToxicon.The Kenya Snakebite Research and Intervention Center (KSRIC) is working to change that. The KSRIC hopes to have East Africa’s first antivenom medication on the market within five years. It estimates the cost will be about 30 percent of an imported product, which often sells for about US $ 30.More than 70, 000 people are bitten in East Africa each year. Climate change and deforestation are worsening the problem as snakes get pushed out of natural surroundings into populated areas.Nearly 100 snakes live at the research center in a forest near Nairobi. Researchers take venom from snakes and study it before injecting small amounts into other animals, such as sheep. The animals then create antibodies that can be made into antivenom.“Up to now, no one has made any kind of antivenom in Kenya,’’ said Geoffrey Maranga Kepha, a senior snake handler.Two effective antivenoms are available in Kenya, from India and Mexico, the center says.The center is teaching communities that using antivenom immediately after receiving a snakebite can save lives, said head researcher George Adinoh.“After seeing how people died in Kenya from snakebites I decided to devote my life to coming up with a rescue measure that will help or prevent people from dying from snakebites,” snake handler Kepha added.12. How does the author introduce the topic of the text?A. By telling a story.B. By listing figures.C. By referririg to documents.D. By making a comparison.13. Why did Mwende take her daughter to a traditional healer?A. She couldn’t afford any modern treatment.B. She lived where antivenom medication is not available.C. The traditional way is very effective to treat snakebites.D. She believed a traditional healer could cure her daughter.14. What is causing more snakebites to happen in East Africa?A. Lack of antivenom medication.B. Environmental damage and climate change.C. People’s low awareness of the danger of snakes.D. People’s pursuit of traditional cures for snakebites.15. What do we know about antivenom in Kenya from the text?A. Itis taken from antibodies of sheep.B. There is only one effective antivenom available.C. KSRIC is trying to develop a local antivenom now.D. People refuse to use antivenom after being bitten by snakes.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2020届苏州市景范中学校高三英语上学期期末试卷及参考答案
2020届苏州市景范中学校高三英语上学期期末试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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AOvernight French ToastWhat You’ll Need•16-ounce loaf of French bread•5 eggs•1 1 /2 cups milk•1/2 cup half-and-half•1/3 cup maple syrup（枫糖浆）•1/2 teaspoon salt•foil（锡箔纸）•2 tablespoons melted butter（for topping）•2 tablespoons maple syrup（for topping）What to Do•With an adult’s help, cut the bread into 1-inch slices.•Place the eggs, milk, half-and-half, maple syrup, and salt into a large bowl. Stir（揽拌）the mixture until blended（混合均匀）.•Place the sliced bread into a baking dish. Pour the mixtureover the bread and press the slices into it. Cover the dish with foil and refrigerate overnight.•Remove the dish from the refrigerator at least one hour before baking. Ask an adult for help to preheat the oven to 375°F. Bake the French toast for 35 minutes or until golden brown.•For the topping, combine the melted butter and 2 tablespoons of maple syrup. Pour it over the French toast before serving.1.How much salt will you need to make a French toast?A.1/3 cup.B.1/2 teaspoon.C.2 tablespoons.D.16 ounces.2.How will you use foil?A.Place the sliced breadB.Cover the dish.C.Remove the dish.D.Eat the French toast.3.Who is the passage written for?A.Teachers.B.Parents.C.Cooks.D.Kids.BIn recent years, with the development of technology, it is common to see robots into our homes in the form of toys and vacuums (吸尘器) without question. Children’s toys that rely on robotics for both entertainment and education are becoming more popular and more easily accessible. Robot vacuums, too, are so popular that the Roomba has even earned itself a name in popular television.A selection of other household wares can be purchased and owned for a reasonable cost, but they all look and perform like vacuums. Our domestic helpers are currently designed to vacuuming, mopping, sweeping and mowing.Of course the best known of these is the Roomba, but there is actually some competition amongst the autonomous vacuum manufacturers. Roomba, made by iRobot, now comes in several designs and has been through many versions of improvements. The basic model is just about $400, but there’s a more attractive version, complete with a wireless command center to control the robot from anywhere in the home. Samsung also has a vacuum, called the Smart Tango, which makes increased improvements on the Roomba by including brushes for cleaning corners. It’s possible that some of the less well-known vacuums might be even more exciting, like the Neato Robotics XV that takes on a square shape to better clean corners. Incremental (增值的) improvements are what drive the home robot industry.Now that domestic robots are becoming more popular, the near future should be exciting. If we are going to welcome robots into our lives and our homes, we should expect them to work for it, and work hard. It’s the dawn of the robot revolution, whether we like it or not, and it would be great to see that technology put to use in more innovative(创新的) ways.4. What does Roomba in the passage mean?A. A man’s name who has bought a domestic robot.B. A name of a big company who makes robots.C. A type of vacuum whose name is Roomba.D. A place where people can buy proper robots.5. The Smart Tango is different from other types in that ________.A. it has a wireless command centerB. it has brushes for cleaning cornersC. it is more famous and excitingD. it is driven without electricity6. What can we infer according to the last paragraph?A. Domestic robots will free us from housework.B. Domestic robots will become cheaper and cheaper.C. Domestic robots have brought environmental revolution.D. Domestic robots takes the lead in science and technology.7. What does the author intend to tell in the passage?A. Domestic robots are closely related to our daily life.B. It is interesting to see domestic robots at home.C. Domestic robots are too expensive for most people.D. It is convenient to buy a domestic robot.CThe American poet Louise Gluck, author of 12 collections of poetry, has been awarded the 2020 Nobel Prize in Literature. Born inNew Yorkin 1943, Gluck published her first volume of poetry, “Firstborn”, in 1968, quickly gaining her reputation as a poet. In the decades since, she has become one of the country's most celebrated literary figures. Her work uses the power of myth to deal with some of our darkest human concerns. Her straightforward language always gets at the heart of deep-seated anxieties: loneliness, rejection, death ...Stephanie Burt,an English professor atHarvardUniversity, said, “She's someone who's been able to make emotion states vivid on the page... Few poets have tried as hard as she has not to repeat herself. And her strongest books are really different from one another”. “She offers poetry lovers a lot of inspiration, but she's also on a lot of bookshelves," said Chiasson, a poet, who added she is a generous reader of her fellow writers’work.At Yale, where Gluck is a professor of English, she served for years as judge of the Yale Series of Younger Poets Prize and worked closely with poets she chose for the prize and those she did not, helping them shape their work. “In that very practical way she's had an enormous influence on a great many figures,” said Langdon Hammer, a professor of English at Yale. “She's someone who has been a 'guiding spirit’ for generations of students, writers, and readers.”Gluck described teaching and writing as symbiotic. “I teach not out of selflessness or generosity: I do it because it feeds me,” she said. “It feeds them, too, so it's a happy relationship. I'm sure not all my students feel that way, but some do. I never feel that it takes me from my work: I think it gives me my work.”8. Which of the following topics might Gluck tend to explore in her work?A. Victory.B. Divorce.C. Romance.D. Achievement.9. What quality does Gluck have according to the passage?A. Humorous and intelligent.B. Ambitious and helpful.C. Considerate and optimistic.D. Inspiring and creative.10. What does teaching mean to Gluck?A. A source of wealth.B. A barrier to writing.C. A fountain of creation.D. A stepping stone to fame.11. What is the best title for the text?A. A Guiding SpiritB. A Successful PioneerC. An Adventurous CreatorD. A Hardworking WriterDYellowstoneNational ParkbecameAmerica's first national park in 1872. The National Park Service was formed 44 years later in 1916.Yellowstone, which is mostly in the state of Wyoming, is considered an example of the success of the National Park System.Humans have been present in Yellowstone for more than 11,000 years.Yellowstone contains beautiful mountains, deep canyons(峡谷), lakes and rivers.The nameYellowstonecomes from the river running through the area. At first known as Rock Yellow River, it became known as theYellowstoneRiver.Yellowstoneis host to many different species of plants. However, the park is most distinctive because of what lies underneath it. It sits on top of an ancient super volcano, known as The Yellowstone Caldera. The caldera is 48 by 72 kilometers. And it remains an active volcano.It is believed that the last time the volcano erupted was one half million years ago. The area has had three major eruptions in the last three million years.Experts say it may erupt again in another 1,000 to 10,000 years. But each year, there are thousands of earthquakes atYellowstone. Most are too small to be felt by people visiting the park.Yellowstoneis filled with the beauty of many hot water springs. hot water and gasses are trapped under the earth. they rush to the surface in the form of hot water and steam.Old Faithful is The most famous one .Iterupts about every hour or hour and a half. The eruption can last from one and a half minutes up to 5 minutes. The amount of hot water it expels（排出）in that time can be as much as 31,000 liters or more.In addition to its beauty and wonder, Yellowstone is an animal sanctuary（保护区）. It is home to the largest group of wild animals in theUnited States. As you travel through the park, you can sometimes see them in theirnatural habitat and hear their calls .12. What wasYellowstonenamed after?A. RockYellow RiverB. The amazing mountains.C. The stones with yellow color1D. The first discovery inwyoming.13. What makesYellowstonequite unique?A. The scenery is beautiful.B. There are a lot of explorers.C. It’s home to many plants.D. Its location is very special.14. What does the underlined word“It”in Paragraph 5 refer to?A. The earth.B. Yellowstone.C.Old Faithful.D. TheYellowstoneCaldera.15. What can we infer from the text?A. The Yellowstone Caldera has been dead for years.B. Yellowstone is a shelter for the protected wildlife.C. Big earthquakes happen frequently atYellowstone.D.YellowstoneNational Parkhas attracted visitors for centuries.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2020年苏州市景范中学校高三英语上学期期末试卷及参考答案
2020年苏州市景范中学校高三英语上学期期末试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30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ACovid-19 has brought a great deal of trouble for all of us since March 2020. During this time, mobile phones have been the solution for the boredom and restlessness caused from staying indoors. The most downloaded apps on play store 2020 are;TikTokTikTok was the most downloaded app. With over 111.9 million downloads, TikTok has seen a huge growth in 2020, twice more than what it got in 2019. 20% of its total downloads were fromIndiaand around 9. 3% of the total downloads were in theUS.ZoomZoom was the second most installed app in the overall downloads category. With nearly 94. 6 million installs, Zoom is the most used app for online meetings and virtual classrooms. 17% of its downloads were in theUSandIndia. Offices and educational institutes were shut down and to continue working and studying from home, people relied heavily on Zoom for video conferencing and calling.WhatsAppWhatsApp ranked third in overall downloads with more than 100 million downloads. It is one of the most popular and widely used chat applications; WhatsApp also supports communication between international phone networks.FacebookIt ranked fourth in the overall downloaded list. Facebook is the world’s most popular social networking application. Facebook builds technologies that give people the power to connect with friends and family, find communities and grow businesses.1. What do we know about TikTok?A. It is an India-based app.B. It has most users inAmerica.C. It is used for growing business.D. It has doubled its download than in 2019.2. Which app is the best to turn to for online education?A. TikTok.B. Zoom.C. WhatsApp.D. Facebook.3. What function does Facebook probably serve?A. Communication.B. Training.C. Teaching.D. PaymentBImagine that youare a superhero. Your superpowers are activated by a special suit. The suit communicates with your brain. It allows you to do amazing things with only a thought. By concentrating on strength, for example, you can kick a soccer ball across a field. By focusing on swift actions, you can jump to the top of a tree.Such a connection between mind and machine may sound like a fantasy. To scientists, though, it is a very real goal. They are creating machines that let disabled monkeys walk. These machines may soon help disabled humans do the same. Unlike other bionic devices, these robotic “super suits” do not communicate with muscles and nerves. Instead, they have a direct line to the brain.In 2005, doctors drilled a hole in the skull of Hutchinson, who had lost her right arm in an accident. Then they inserted a sensor onto her motor cortex (大脑皮层运动区). Wires connected the sensor to a receiver on her head. After she recovered, researchers pluggedHutchinson’s receiver into a cable that relayed signals from her brain to computers. Then they connected a robotic arm to the computers. The computerscould interpretHutchinson’s brain signals to move the arm.Soon,Hutchinson, the computer, and the robotic arm became a team.Hutchinsonwas even able to lift her hand and drink from a cup. “She smiled when she put down that drink—that’s everything.” says Donoghue, a brain scientist.Today other scientists are building on that success. One of those scientists is Dr. Miguel Nicolelis, who designed a whole-body bionic equipment. In 2014, a disabled former athlete kicked the first ball of the World Cup Games wearing one of Miguel’s full-body exoskeletons.The exoskeleton was connected to brain signal sensors in the man’s cap. By thinking about kicking, he sent signals to a computer on his back. The computer then translated the signal into an exoskeleton-aided kick. Such designs may become common as scientists keep merging mind and machine.4.Which can best describe the tone of paragraph 1?A. Narrative and serious.B. Persuasive and critical.C. Informative and objective.D. Descriptive and imaginative.5. What is paragraph 3 mainly about?A. Reason of the experiment.B. Results of the experiment.C. Process of the experiment.D. Significance of the experiment.6. Why is Dr. Miguel’s exoskeleton special?A. It can be used on animals.B. It can move the whole body.C. It was supported by computers.D. It was connected directly to the brain.7. What can be inferred from the last paragraph?A. Robotic suits may be widely used to help disabled people.B. Exoskeleton is more common thanHutchinson’s bionic arm.C.Scientific experiments are commonly carried out in football fields.D. Disabled athletes can now play football again with the help of computer.CEach year, the women of Olney and Liberal compete in an unusual footrace. Dressed in aprons (围裙) and headscarves, they wait at both towns’starting lines. Each woman holds a frying pan with one pancake inside. At the signal, the women flip (轻抛) pancakes and they’re off!This “pancake racing” tradition is said to have started on Shrove Tuesday, 1445, in Olney. Shrove Tuesday is the day beforethe Christian season of Lent (大斋戒) begins. During Lent, many people decide to give up sugary or fatty foods.Legend says that in 1445, an Olney woman was making pancakes to use up some of her sugar and cooking fats before Lent. She lost track of time and suddenly heard the church bells ring, signaling the beginning of the Shrove Tuesday service. Realizing that she was going to be late for church, she raced out the door still wearing her apron and headscarf and holding her frying pan with a pancake in it. In the following years, the woman’s neighbors imitated her dash to church, and pancake racing was born.The rules are simple. Racers must wear the traditional headscarf and apron. They must flip their pancakes twice - once before starting and once after crossing the finish line. After the race, there are Shrove Tuesday church services. Then Liberal and Olney connect through a video call to compare race times and declare a winner.In both towns, the races have grown into larger festivals. Olney’s festival is an all-day event starting with a big pancake breakfast. Liberal’s festival lasts four days and includes a parade, a talent show, and contests that feature eating and flipping pancakes. Although the women’s race is still the main event, both towns now hold additional races for boys and girls of all ages.8. How did pancake racing start?A. A woman in Olney created it.B. Women made pancakes before Lent.C. A woman dashed to church with a pancake.D. People followed the suit of an interesting incident.9. What should racers obey during the race?A. They can wear fashionable headscarves and aprons.B. They must flip their pancakes once in the race.C. They must flip their pancakes at the beginning of the race.D. They can flip their pancakes in the middle of the race.10. What can we learn about the race from the last paragraph?A. People can show their talent in Olney festival.B. People can enjoy a one-day holiday in Liberal.C. The race is not only intended for women now.D. People can have a big pancake breakfast in both towns.11. What is the text mainly about?A. The origin of pancake racing.B. The history of pancake racing.C. The development of pancake racing.D. The introduction to pancake racing.DSonja Redding and her family were on their way home to Omaha, Nebraska, after a weeklong visit to Washington, D. C. with her two sons, one of whom, 5-year-old Xayvior, has autism(自闭症).Although all of the other flights had gone fine, Xayvior became angry during one of the flights, and Redding couldn’t calm him.“It felt like everyone on the plane was looking at us and got angry with my son, ” she wrote in a Facebookpost after she got home. “I don’t know what to do when others just don’t understand that he is not just a kid with no discipline(自制力)，but a child with special needs who doesn’t know how to control himself.”The day was saved by Delta flight attendant(空乘人员)Amanda Amburgy. She tried to help Xayvior watch a movie, but when that failed, she offered to take him on a tour of the airplane.That worked, and soon the child was not only calm, but having a good time.“When they came back, Xayvior was much calmer and happier,” wrote Redding in the post，which now has 2,700 likes and over 500 shares. “I want to thank this Delta attendant. She didn’t judge, and she just showed love. We need more people like this in the world. ”It wasn’t long before Amburgy was told about the post.“ We’re there to help, and that’s what we want to do,” she said in an interview. “So, we always want to make anything easier for the family as well as other passengers.”She also shared what she felt when she read Redding’s story. “When I read it, it touched my heart. It’s something I would do for anyone on the plane, because that’s what I’m here for. It really made a difference in her life.”12. How did Redding feel on the plane?A. Tired.B. Uncomfortable.C. Very angry.D. Deeply afraid.13. What did Amburgy do to help the family?A. She asked the family to stay beside her.B. She asked the other passengers for help.C. She tried her best to calm the boy.D. She helped look after the other boy.14. Why did Redding post the story?A. To show her thanks.B. To help kids with autism.C. To get in touch with Amburgy.D. To share her travel experience.15. Which of the following words can best describe Amburgy?A. Proud.B. Honest.C. Hard-working.D. Warm-hearted.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
江苏省将苏州市景范中学2020学年九年级化学第一学期期中考试试卷 沪教版
苏州市景范中学2020学年第一学期初三年级化学学科期中考试试卷可能用到的相对原子质量：H-1 C-12 N-14 O-16 Mg-24第Ⅰ卷（选择题，共60分）一、单项选择题(包括30题，每题2分，共60分。
每题只有一个选项符合题意。
) 题 号 1 2 3 4 5 6 7 8 9 10 答 案 题 号 11 12 13 14 15 16 17 18 19 20 答 案 题 号 21 22 23 24 25 26 27 28 29 30 答 案1、苏州是座拥有300多个翠玉珍珠般湖泊的江南水乡城市，以下措施有利于水资源保护的是 A ．扩容水上森林恢复湿地生态 B ．为发展经济大规模围网养殖 C ．工业废水生活污水直接排放 D ．为增加可耕地面积围湖造田2、乙醇汽油(汽油中加入一定比例的乙醇)的使用可以缓解石油危机。
从甜菜或甘蔗中提取的蔗糖可以通过发酵产生乙醇。
下列过程中没有发生化学变化的是A.甜菜的生长B.汽油中加入乙醇C.乙醇的燃烧D.蔗糖的发酵 3、人体中化学元素含量的多少直接影响健康，缺乏铁元素易导致A ．甲状腺肿大B ．侏儒症C ．贫血D ．佝偻病 4、下列仪器不能．．加热的是 A ．烧杯 B ．试管 C ．蒸发皿D ．量筒5、下列各组物质都由分子构成，且前者属于单质、后者属于混合物的是 A. 氮气 高锰酸钾 B. 氯化钠 医用酒精 C. 氢气 过氧化氢溶液 D. 金刚石 空气6、下列物质中均含有氯元素，它们按下列顺序排列： ①KCl ②Cl 2 ③HClO ④X ⑤NaClO 4 根据这种规律，X 不可能是A. AgClB. KClO 3C. HClO 2D. Cl 2O 57、若用右图装置来制取气体，应满足下列条件中的①反应物是固体②反应需要加热③制得的气体不易溶于水④制得的气体密度比空气大 A ．①② B ．②④C ．①②③D ．①②③④考场号______________ 座位号____________ 班级__________ 姓名____________ 成绩____________ ————————————————————————装订线————————————————————————————8、下列有关媒体的报道与化学知识不相违背的A.某洗发水不含任何化学物质B.科研人员发明了一种特殊催化剂，可以使水变为汽油C.有关部门利用明矾对饮用水进行消毒杀菌，从而解决了灾民饮水难的问题D.科研机构发明了一种用植物秸秆生产乙醇的新工艺9、下列关于物质的名称、化学式、颜色都正确的一组是A. 氧化镁 MgO2白色B. 氧化铜 CuO 黑色C. 碱式碳酸铜 Cu(OH)2CO3绿色D. 高锰酸钾 KMnO2紫红色10、下列区分两种不同物质的方法不合理的是A．用燃着的木条区分空气与二氧化碳B．用肥皂水区分硬水与软水C．用水区分四氧化三铁粉末与MnO2粉末D．用酚酞试液区分稀氨水与蒸馏水11、下列说法能体现物质物理性质的是A．镁粉用作照明弹 B．发烧病人用酒精擦身体降温C．氢气用作清洁燃料 D．二氧化碳用作碳酸饮料12、下列实验操作不当的是A.将烧碱（一种有腐蚀性的固体）放在已知质量的烧杯里用托盘天平称量B.将试管夹从试管底部往上套，夹在试管的中上部C.振荡试管时.用手紧握试管，拇指堵住试管口，上下晃动D.滴加液体时，滴瓶滴管的尖端不能触及已加过其它试剂的试管内壁13、下列关于燃烧现象的描述，正确的是A.硫在空气中燃烧发出蓝紫色火焰B.红磷在空气中燃烧产生大量白雾C.镁条在空气中燃烧发出耀眼的白光D.铁丝在空气中剧烈燃烧，火星四射14、下列关于氧气的说法正确的是A.氧气能支持燃烧，可作燃料B.带火星的木条一定能在含有氧气的集气瓶中复燃C.水中的生物能依靠微溶于水中的氧气而生存D.氧气能跟所有物质发生氧化反应15、右图是某兴趣小组设计的一套实验装置，装置足以维持实验过程中小白鼠的生命活动。
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苏州市景范中学2018-2019学年第一学期
初三年级数
一、选择题(每题3分，共24分)
1．下列方程中一定是一元二次方程的是( )
A ．x ＋y ＝8
B ．2x 2
＋22x
－2＝0
C ．(x －2)(3x ＋1)＝0
D ．x ＋3＝－6x 2．若⊙O 的半径为4cm ，点A 到圆心O 的距离为3cm ，那
么点A 与⊙O 的位置关系是( ) A ．点A 在圆内 B ．点A 在圆上 C ．点A 在圆外 D ．不能确定
3．用配方法解方程2420x x -+=，下列配方正确的是( )
A ．2(2)2x -=
B ．2(2)2x +=
C ．2
(2)2x -=- D ．2(2)6x -= 4．二次函数2y x =的图像经过怎样的平移可得到函数
2(2)1y x =+-的图像，下列平移正确的是( )
A ．先向左平移2个单位长度，再向上平移1个单位长度
B ．先向左平移2个单位长度，再向下平移1个单位长度
C ．先向右平移2个单位长度，再向上平移1个单位长度
D ．先向右平移2个单位长度，再向下平移1个单位长度
5．若AB 、CD 是同圆的两段弧，且AB ＝2CD ，则下列各式成立的是( )
A ．A
B ＝2CD B ．AB ＜2CD
C ．AB ＞2C
D D ．AB 、2CD 大小不能确定
6．已知二次函数2(0)y ax bx c a =++≠的图象如图
所示，则下列结论：①0abc >；②方程
20ax bx c ++=的两根之和大于0；
③2a ＋b ＜0；④b 2
－4ac ＞0；⑤0a b c -+<，其中正确的个数( ) A ．5个 B ．4个 C ．3个 D ．2个
7．若关于x 的方程2(1)40x m x m ++++=两实数根的平方和是2，则m 的值是( )
A ．4
B ．3
C ．－3
D ．3或－3 8．下列四个说法中，正确的是( )
A ．一元二次方程22
452
x x ++=
有实数根； B ．一元二次方程23452
x x ++=有实数根；
C ．一元二次方程25453
x x ++=有实数根；
D ．一元二次方程x 2
＋4x ＋5＝a(a ≥1)有实数根． 二、填空题(每空3分，共30分)
9．解方程x 2
－4＝0，x ＝_______． 10．如图，弦AB 把⊙O 分成1︰2的两部分，则圆心角∠AOB 的大小为_______．
11．关于x 的一元二次方程2210mx x -+=有两个实数根，则m 的取值范围是_______．
12．如图，是二次函数y ＝ax 2
＋bx ＋c 图象的一部分，其
对称轴为直线x ＝1，若其与x 轴一交点为A(3，0)，
则由图象可知，不等式ax 2
＋bx ＋c ＞0的解集是____________.
13．已知二次函数y ＝x 2
－6x ＋n 的最小值为1，那么n 的值是_______．
14．已知抛物线2
=++(a＜0)过A(2-，0)、O(0，0)、
y ax bx c
B(3-，
y)、C(3，2y)四点，则1y与2y的大小关系是
1
__________．
15．如图有一块长30米，宽20米的矩形田地，现要修两条等宽的道路，•使剩下的耕地面积为504平方米，则两条道路在矩形的长和宽上截得的线段宽x为_____米．
16．如图CD为⊙O的直径，∠A＝23°，AE交⊙O于点B、E，且AB＝OC，∠EOD的度数为_________．
17．如图是一条水平铺设的直径为2米的通水管道横截面，其水面宽为 1.6米，则这条管道中此时最深为__________米．
18．⊙O的半径OA＝2，弦AB、AC分别为一元二次方程x2－(22＋23)x＋46＝0的两个根，则∠BAC的度数为_________．
三、解答题(本题共11题,共76分)
19．(5分)解方程(x﹣1)(x＋2)＝2(x＋2)
20．(5分)解方程组11
28
x y xy +=⎧⎨=⎩
21．(5
分)解方程：222(1)1
60x x x x
+++
-=
22．(6分)如图，AB 、CD 是⊙O 的弦，∠A ＝
∠C ．求证：AB ＝CD ．
23．(6分)某省为解决农村饮用水问题，省财政部门共投
资20亿元对各市的农村饮用水的“改水工程”予以一定比例的补助．2008年，A 市在省财政补助的基础上再投入600万元用于“改水工程”,计划以后每年以相同的增长率投资，2019年该市计划投资“改水工程”1176万元．
(1)求A 市投资“改水工程”的年平均增长率． (2)从2008年到2019年，A 市三年共投资“改水工程”多少万元
?
24．(6分)如图在同一直角坐标系中，
抛物线与两坐标轴分别交A(－1，0)、B(3，0)和C(0，－3)，一次函数的图象与抛物线交于B 、C 两点．
(1)抛物线解析式是_____________________；
(2)抛物线的顶点坐标是_____________；对称轴是
________________；
(3)当自变量x 满足______________时，两函数的函数值
都随x 增大而增大；
(4)当自变量x 满足______________时，一次函数值大于
二次函数值.
(5)此抛物线关于x 轴对称的新抛物线解析式是
___________.
25．(6分)已知关于x 的方程014)3(222=--+--k k x k x ．
(1)若这个方程有一个根为1，求k 的值；
(2)若以方程014)3(222=--+--k k x k x 的两个根为横坐标、
纵坐标的点恰在反比例函数x
m y =的图象上，求满足
条件的m 的最小值．
26．(8分)某水产品养殖企业为
指导该企业某种水产品的养殖和销售，对历年市场行情和水产品养殖情况进行了调查．调查发现这种水产品每千克售价y 1(元)与销
售月份x(月)满足关系式13368
y x =-+，而其每千克成本
y 2(元)与销售月份x(月)满足的函数关系如图所示． (1)试确定b 、c 的值．
(2)求出这种水产品每千克的利润y(元)与销售月份
x(月)之间的函数关系式．
(3)“五一”之前，几月份出售这种水产品每千克的利
润最大?最大利润是多少?
27．(8分)已知抛物线2234
y x kx k =+-(k 为常数，且k ＞0)．
(1)证明：此抛物线与x 轴共有两个交点．
(2)设抛物线与x 轴交于M 、N 两点，若这两点到原点的
距离分别为OM 、ON ，且1123
ON
OM
-=，求k 的值．
28．(10分)如图，已知⊙O 的半径为1，PQ 是⊙O 的直径，
n 个相同的正三角形沿PQ 排成一列，
所有正三角形都
关于PQ 对称，其中第一个111C B A △的顶点1A 与点P 重合，第二个222C B A △的顶点2A 是11C B 与PQ 的交点，…，最后一个n n n C B A △的顶点n B 、n C 在圆上．
(1)如图1，当1=n 时，求正三角形的边长1a ； (2)如图2，当2=n 时，求正三角形的边长2a ；
(3)如题图，求正三角形的边长n a (用含n 的代数式表示)． 29．(11分)如图，已知抛物线C 1：()522-+=x a y 的顶点为P ，
与x 轴相交于A 、B 两点(点A 在点B 的左边)，点B 的横坐标是1．
(1)求P 点坐标及a 的值；
(2)如图(1)，抛物线C 2与抛物线C 1关于x 轴对称，将
抛物线C 2向右平移，平移后的抛物线记为C 3，C 3的顶点为M ，当点P 、M 关于点B 成中心对称时，求C 3的解析式；
(3)如图(2)，点Q 是x 轴正半轴上一点，将抛物线C 1
绕点Q 旋转180°后得到抛物线C 4．抛物线C 4的顶点为N ，与x 轴相交于E 、F 两点(点E 在点F 的左边)，当以点P 、N 、F 为顶点的三角形是直角三角形时，求点Q 的坐标．
苏州市景范中学2018-2019学年第一学期
初三年级数
一、选择题 1 2 3 4 5 6 7 8
C A A B B B C D
二、填空 9．2,－2 10.120° 11.1m ≤且m ≠0 12．x ＞3或x ＜－1 13．10 14．12y y > 15．2 16．69° 17．0.4 18．15°或75° 19．－2或3
20．74x y =⎧⎨
=⎩或4
7
x y =⎧⎨=⎩ 21．13
-或2
22．连结BO,OD 利用等腰三角形性质证圆心角相等．
23．(1)40%
(2)2616
24．(1)y ＝x 2
－2x －3
(2)(1,－4) (3)x ＞1 (4)0＜x ＜3
(5)y ＝－x 2
＋2x ＋3 25．(1)33k =±
(2)－5
26．(1)b ＝158
-,c ＝29.5
(2)213138
2
2
y x x =-++
(3)x ＝4,y ＝10.5 27．(1)略
(2)2 28．(1)31=a
(2)13
382=a (3)1
3342
+=
n n a n
29．p(－2,－5),a ＝59
(2)25(4)59
y x =--+
(3)192(,0),(,0)3
3
Q。