第三周周测答案(20191212185333)
七年级下第三周周测数学试卷(有答案)
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七年级下第三周周测数学试卷(有答案)一、选择题(本大题共10小题,每小题3分,共30分)1.一个三角形的两边长为2和6,第三边为偶数,则这个三角形的周长为()A.10 B.12 C.14 D.162.若一个多边形的内角和与它的外角和相等,则这个多边形是()A.三角形B.四边形C.五边形D.六边形3.一个三角形的三个内角中,锐角的个数最少为()A.0 B.1 C.2 D.34.下面说法错误的是()A.三角形的三条角平分线交于一点B.三角形的三条中线交于一点C.三角形的三条高交于一点D.三角形的三条高所在的直线交于一点5.同一平面内有四条直线a、b、c、d,若a∥b,a⊥c,b⊥d,则c、d的位置关系为()A.互相垂直B.互相平行C.相交D.没有确定关系6.如图,点E在CD延长线上,下列条件中不能判定AB∥CD的是()A.∠1=∠2 B.∠3=∠4 C.∠5=∠B D.∠B+∠BDC=180°7.如图,直线l1∥l2,则下列式子成立的是()A.∠1+∠2+∠3=180°B.∠1﹣∠2+∠3=180°C.∠2+∠3﹣∠1=180°D.∠1+∠2﹣∠3=180°8.如图,两个全等的直角三角形重叠在一起,将其中的一个三角形沿着点B到C的方向平移到△DEF的位置,AB=10,DO=4,平移距离为6,则阴影部分面积为()A.48 B.96 C.84 D.429.如图所示,小华从A点出发,沿直线前进10米后左转24°,再沿直线前进10米,又向左转24°,…,照这样走下去,他第一次回到出发地A点时,一共走的路程是()A.140米B.150米C.160米D.240米10.一个多边形切去一个角后,形成的另一个多边形的内角和为1080°,那么原多边形的边数为()A.7 B.7或8 C.8或9 D.7或8或9二、填空题(本大题共9小题,每空2分,共22分)11.回答下列问题:(1)若一个多边形的内角和与外角和的总和为1800°,则这个多边形是边形.(2)一个多边形的每一个外角都等于72°,这个多边形是边形,它的每个内角是度?12.若n边形内角和为900°,则边数n=.13.一个正多边形的内角和为540°,则这个正多边形的每一个外角等于.14.若多边形的每一个内角均为135°,则这个多边形的边数为.15.如图,是一个不规则的五角星,则∠A+∠B+∠C+∠D+∠E=.(用度数表示)16.如图,AD∥BC,BD平分∠ABC,∠A:∠ABC=2:1,则∠ADB=度.17.在△ABC中,已知∠ABC=50°,∠ACB=60°,BE是AC上的高,CF是AB上的高,H是BE 和CF的交点,则∠BHC=.18.如图,AB∥CD∥EF,且CG∥AF,则图中与∠BAF互补的角共有个.19.如图,在△ABC中,∠A=60°,BD、CD分别平分∠ABC、∠ACB,M、N、Q分别在DB、DC、BC的延长线上,BE、CE分别平分∠MBC、∠BCN,BF、CF分别平分∠EBC、∠ECQ,则∠F=.三、解答题(本大题共六小题,共58分)20.如图,已知DF⊥AB于点F,且∠A=45°,∠D=30°,求∠ACB的度数.21.如图,在△ABC中,∠ABC=56°,∠ACB=44°,AD是BC边上的高,AE是△ABC的角平分线,你能求出∠DAE的度数吗?请试一试!22.如图,D是△ABC的BA边延长线上的一点,AE是∠DAC的平分线,∠B=∠C,试说明:AE∥BC.23.如图,∠ABD和∠BDC的平分线交于点E,BE的延长线交CD于点F,且∠1+∠2=90°.求证:(1)AB∥CD;(2)猜想∠2 与∠3的关系并证明.24.完成下面推理过程:如图,已知∠1=∠2,∠B=∠C,可推得AB∥CD.理由如下:∵∠1=∠2(已知),且∠1=∠CGD(),∴∠2=∠CGD(等量代换).∴CE∥BF().∴∠=∠C().又∵∠B=∠C(已知),∴∠=∠B(等量代换).∴AB∥CD().25.如图①,△ABC的角平分线BD、CE相交于点P.(1)如果∠A=70°,求∠BPC的度数;(2)如图②,过P点作直线MN∥BC,分别交AB和AC于点M和N,试求∠MPB+∠NPC的度数(用含∠A的代数式表示);(3)在(2)的条件下,将直线MN绕点P旋转.(i)当直线MN与AB、AC的交点仍分别在线段AB和AC上时,如图③,试探索∠MPB、∠NPC、∠A三者之间的数量关系,并说明你的理由;(ⅱ)当直线MN与AB的交点仍在线段AB上,而与AC的交点在AC的延长线上时,如图④,试问(i)中∠MPB、∠NPC、∠A三者之间的数量关系是否仍然成立?若成立,请说明你的理由;若不成立,请给出∠MPB、∠NPC、∠A三者之间的数量关系,并说明你的理由.七年级(下)第三周周测数学试卷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)1.一个三角形的两边长为2和6,第三边为偶数,则这个三角形的周长为()A.10 B.12 C.14 D.16【考点】三角形三边关系.【分析】根据在三角形中任意两边之和大于第三边,任意两边之差小于第三边.即可求解.【解答】解:第三边的取值范围是大于4且小于8,又第三边是偶数,故第三边是6.则该三角形的周长是14.故选:C.2.若一个多边形的内角和与它的外角和相等,则这个多边形是()A.三角形B.四边形C.五边形D.六边形【考点】多边形内角与外角.【分析】根据多边形的内角和公式(n﹣2)•180°与多边形的外角和定理列式进行计算即可得解.【解答】解:设多边形的边数为n,根据题意得(n﹣2)•180°=360°,解得n=4.故这个多边形是四边形.故选B.3.一个三角形的三个内角中,锐角的个数最少为()A.0 B.1 C.2 D.3【考点】三角形内角和定理.【分析】依据三角形的内角和是180°,假设在一个三角形中只有1个锐角或一个锐角都没有,则可以得出这个三角形的内角和大于180°,所以假设不成立,据此即可判断.【解答】解:假设在一个三角形中只有1个锐角或一个锐角都没有,则另外的两个角或三个角都大于或等于90°,于是可得这个三角形的内角和大于180°,这样违背了三角形的内角和定理,假设不成立.所以任何一个三角形的三个内角中至少有2个锐角.故选(C).4.下面说法错误的是()A.三角形的三条角平分线交于一点B.三角形的三条中线交于一点C.三角形的三条高交于一点D.三角形的三条高所在的直线交于一点【考点】三角形的角平分线、中线和高.【分析】根据三角形的角的平分线、中线、高线的性质即可确定.【解答】解:A、三角形的三条角平分线交于一点,是三角形的内心,故命题正确;B、三角形的三条中线交于一点,是三角形的重心,故命题正确;三角形的三条高所在的直线交于一点,三条高不一定相交,故C错误,D正确.故选C.5.同一平面内有四条直线a、b、c、d,若a∥b,a⊥c,b⊥d,则c、d的位置关系为()A.互相垂直B.互相平行C.相交D.没有确定关系【考点】平行公理及推论.【分析】作出图形,根据平行公理的推论解答.【解答】解:如图,∵a∥b,a⊥c,∴c⊥b,又∵b⊥d,∴c∥d.故选B.6.如图,点E在CD延长线上,下列条件中不能判定AB∥CD的是()A.∠1=∠2 B.∠3=∠4 C.∠5=∠B D.∠B+∠BDC=180°【考点】平行线的判定.【分析】根据平行线的判定方法直接判定.【解答】解:选项B中,∵∠3=∠4,∴AB∥CD (内错角相等,两直线平行),所以正确;选项C中,∵∠5=∠B,∴AB∥CD (内错角相等,两直线平行),所以正确;选项D中,∵∠B+∠BDC=180°,∴AB∥CD(同旁内角互补,两直线平行),所以正确;而选项A中,∠1与∠2是直线AC、BD被AD所截形成的内错角,因为∠1=∠2,所以应是AC ∥BD,故A错误.故选A.7.如图,直线l1∥l2,则下列式子成立的是()A.∠1+∠2+∠3=180°B.∠1﹣∠2+∠3=180°C.∠2+∠3﹣∠1=180°D.∠1+∠2﹣∠3=180°【考点】平行线的性质.【分析】根据平行线的性质进行判断即可.【解答】解:因为l1∥l2,所以∠1=+∠3,可得:∠1+∠2﹣∠3=180°,故选D8.如图,两个全等的直角三角形重叠在一起,将其中的一个三角形沿着点B到C的方向平移到△DEF的位置,AB=10,DO=4,平移距离为6,则阴影部分面积为()A.48 B.96 C.84 D.42【考点】平移的性质.=S梯形ABEO,【分析】根据平移的性质得出BE=6,DE=AB=10,则OE=6,则阴影部分面积=S四边形ODFC根据梯形的面积公式即可求解.【解答】解:由平移的性质知,BE=6,DE=AB=10,∴OE=DE﹣DO=10﹣4=6,=S梯形ABEO=(AB+OE)•BE=(10+6)×6=48.∴S四边形ODFC故选:A.9.如图所示,小华从A点出发,沿直线前进10米后左转24°,再沿直线前进10米,又向左转24°,…,照这样走下去,他第一次回到出发地A点时,一共走的路程是()A.140米B.150米C.160米D.240米【考点】多边形内角与外角.【分析】多边形的外角和为360°每一个外角都为24°,依此可求边数,再求多边形的周长.【解答】解:∵多边形的外角和为360°,而每一个外角为24°,∴多边形的边数为360°÷24°=15,∴小华一共走了:15×10=150米.10.一个多边形切去一个角后,形成的另一个多边形的内角和为1080°,那么原多边形的边数为()A.7 B.7或8 C.8或9 D.7或8或9【考点】多边形内角与外角.【分析】首先求得内角和为1080°的多边形的边数,即可确定原多边形的边数.【解答】解:设内角和为1080°的多边形的边数是n,则(n﹣2)•180°=1080°,解得:n=8.则原多边形的边数为7或8或9.故选:D.二、填空题(本大题共9小题,每空2分,共22分)11.回答下列问题:(1)若一个多边形的内角和与外角和的总和为1800°,则这个多边形是十边形.(2)一个多边形的每一个外角都等于72°,这个多边形是五边形,它的每个内角是108度?【考点】多边形内角与外角.【分析】(1)根据多边形的外角与内角的关系,可得答案;(2)根据多边形的外角和,可得答案;根据内角与外角的关系,可得答案.【解答】解:(1)∵相邻的内角与外角是邻补角,∴相邻内角与外角的和180°,1800÷180=10,故答案为:十;(2)360°÷72°=5,故答案为:五;内角180°﹣72°=108°,故答案为:108.12.若n边形内角和为900°,则边数n=7.【考点】多边形内角与外角.【分析】由n边形的内角和为:180°(n﹣2),即可得方程180(n﹣2)=900,解此方程即可【解答】解:根据题意得:180(n﹣2)=900,解得:n=7.故答案为:7.13.一个正多边形的内角和为540°,则这个正多边形的每一个外角等于72°.【考点】多边形内角与外角.【分析】首先设此多边形为n边形,根据题意得:180(n﹣2)=540,即可求得n=5,再由多边形的外角和等于360°,即可求得答案.【解答】解:设此多边形为n边形,根据题意得:180(n﹣2)=540,解得:n=5,∴这个正多边形的每一个外角等于:=72°.故答案为:72°.14.若多边形的每一个内角均为135°,则这个多边形的边数为8.【考点】多边形内角与外角.【分析】先求出每一外角的度数是45°,然后用多边形的外角和为360°÷45°进行计算即可得解.【解答】解:∵所有内角都是135°,∴每一个外角的度数是180°﹣135°=45°,∵多边形的外角和为360°,∴360°÷45°=8,即这个多边形是八边形.故答案为:8.15.如图,是一个不规则的五角星,则∠A+∠B+∠C+∠D+∠E=180°.(用度数表示)【考点】三角形内角和定理.【分析】根据三角形外角性质,可得∠1=∠C+∠2,∠2=∠A+∠D,那么有∠1=∠C+∠A+∠D,再根据三角形内角和定理有∠1+∠B+∠E=180°,从而易求∠A+∠B+∠C+∠D+∠E=180°.【解答】解:如右图所示,∵∠1=∠C+∠2,∠2=∠A+∠D,∴∠1=∠C+∠A+∠D,又∵∠1+∠B+∠E=180°,∴∠A+∠B+∠C+∠D+∠E=180°.故答案是:180°.16.如图,AD∥BC,BD平分∠ABC,∠A:∠ABC=2:1,则∠ADB=30度.【考点】平行线的性质;角平分线的定义.【分析】本题主要利用平行线的性质和角平分线的定义进行做题.【解答】解:∵AD∥BC,∴∠A+∠ABC=180°;∵∠A:∠ABC=2:1,∴∠ABC=60°;∵BD平分∠ABC,∴∠DBC=30°,∵AD∥BC,∴∠ADB=30°.17.在△ABC中,已知∠ABC=50°,∠ACB=60°,BE是AC上的高,CF是AB上的高,H是BE 和CF的交点,则∠BHC=110°.【考点】多边形内角与外角;三角形内角和定理.【分析】先利用三角形的内角和等于180°求出∠A的度数,再利用四边形的内角和等于360°求出∠EHF的度数,再根据对顶角相等求解即可.【解答】解:∵∠ABC=50°,∠ACB=60°,∴∠A=180°﹣∠ABC﹣∠ACB=180°﹣50°﹣60°=70°,∵BE是AC上的高,CF是AB上的高,∴∠EHF=360°﹣90°×2﹣70°=110°,∴∠BHC=∠EHF=110°.故答案为:110°.18.如图,AB∥CD∥EF,且CG∥AF,则图中与∠BAF互补的角共有5个.【考点】平行线的性质.【分析】根据平行线的性质及对顶角的定义进行解答即可.【解答】解:∵AB∥CD∥EF,∴∠BAF+∠AHD=180°,∠AHD=∠1,∴∠AHD、∠1与∠BAF互补;∵∠CHF=∠AHD,∴∠AHF与∠BAF互补;∵CG∥AF,∴∠MCG=∠CHF,∠1=∠2,∴∠2、∠MCG与∠BAF互补;∴图中与∠BAF互补的角共有5个.故答案为:5.19.如图,在△ABC中,∠A=60°,BD、CD分别平分∠ABC、∠ACB,M、N、Q分别在DB、DC、BC的延长线上,BE、CE分别平分∠MBC、∠BCN,BF、CF分别平分∠EBC、∠ECQ,则∠F=15°.【考点】三角形内角和定理;三角形的外角性质.【分析】先由BD、CD分别平分∠ABC、∠ACB得到∠DBC=∠ABC,∠DCB=∠ACB,在△ABC中根据三角形内角和定理得∠DBC+∠DCB=(∠ABC+∠ACB)==60°,则根据平角定理得到∠MBC+∠NCB=300°;再由BE、CE分别平分∠MBC、∠BCN得∠5+∠6=∠MBC,∠1=∠NCB,两式相加得到∠5+∠6+∠1=(∠NCB+∠NCB)=150°,在△BCE中,根据三角形内角和定理可计算出∠E=30°;再由BF、CF分别平分∠EBC、∠ECQ得到∠5=∠6,∠2=∠3+∠4,根据三角形外角性质得到∠3+∠4=∠5+∠F,∠2+∠3+∠4=∠5+∠6+∠E,利用等量代换得到∠2=∠5+∠F,2∠2=2∠5+∠E,再进行等量代换可得到∠F=∠E.【解答】解:∵BD、CD分别平分∠ABC、∠ACB,∠A=60°,∴∠DBC=∠ABC,∠DCB=∠ACB,∴∠DBC+∠DCB=(∠ABC+∠ACB)==×=60°,∴∠MBC+∠NCB=360°﹣60°=300°,∵BE、CE分别平分∠MBC、∠BCN,∴∠5+∠6=∠MBC,∠1=∠NCB,∴∠5+∠6+∠1=(∠NCB+∠NCB)=150°,∴∠E=180°﹣(∠5+∠6+∠1)=180°﹣150°=30°,∵BF、CF分别平分∠EBC、∠ECQ,∴∠5=∠6,∠2=∠3+∠4,∵∠3+∠4=∠5+∠F,∠2+∠3+∠4=∠5+∠6+∠E,即∠2=∠5+∠F,2∠2=2∠5+∠E,∴2∠F=∠E,∴∠F=∠E=×30°=15°.故答案为15°.三、解答题(本大题共六小题,共58分)20.如图,已知DF⊥AB于点F,且∠A=45°,∠D=30°,求∠ACB的度数.【考点】三角形内角和定理.【分析】由三角形的内角和定理,可得∠AEF=45°,再由对顶角相等得出∠CED=∠AEF=45°,由外角和定理即可求得∠ACB的度数.【解答】解:∵DF⊥AB于点F,∴∠EFA=90°,∵∠A=45°,∴∠AEF=45°,∴∠ACB=∠CED+∠D=45°+30°=75°.21.如图,在△ABC中,∠ABC=56°,∠ACB=44°,AD是BC边上的高,AE是△ABC的角平分线,你能求出∠DAE的度数吗?请试一试!【考点】解直角三角形.【分析】先求出∠BAC的度数,再求出∠BAD的度数和∠CAE的度数,再求出∠DAE的度数.【解答】解:∵∠BAC=180°﹣56°﹣44°=80°,又∵AE是△ABC的角平分线,∴∠CAE=40°,∵∠ABC=56°,AD是BC边上的高.∴∠BAD=90°﹣56°=34°,∴∠DAE=∠BAE﹣∠BAD=∠CAE﹣∠BAD=40°﹣34°=6°.22.如图,D是△ABC的BA边延长线上的一点,AE是∠DAC的平分线,∠B=∠C,试说明:AE∥BC.【考点】平行线的判定;三角形的外角性质.【分析】由AE是∠DAC的平分线,则可得∠DAE=∠CAE,由三角形外角性质,可得∠DAC=∠B+∠C,再根据∠B=∠C,得出∠DAE=∠B,据此可得AE∥BC.【解答】证明:∵AE是∠DAC的平分线,∴∠DAE=∠EAC,∵∠DAC是△ABC的外角,∴∠DAE=∠B,∴AE∥BC.23.如图,∠ABD和∠BDC的平分线交于点E,BE的延长线交CD于点F,且∠1+∠2=90°.求证:(1)AB∥CD;(2)猜想∠2 与∠3的关系并证明.【考点】平行线的判定;角平分线的定义;余角和补角.【分析】(1)已知BE、DE平分∠ABD、∠BDC,且∠1+∠2=90°,可得∠ABD+∠BDC=180°,根据同旁内角互补,可得两直线平行.(2)已知∠1+∠2=90°,即∠BED=90°,那么∠3+∠FDE=90°,将等角代换,即可得出∠3与∠2的数量关系.【解答】证明:(1)∵BE、DE平分∠ABD、∠BDC,∴∠1=∠ABD,∠2=∠BDC;∵∠1+∠2=90°,∴∠ABD+∠BDC=180°;∴AB∥CD;(同旁内角互补,两直线平行)(2)∠2+∠3=90°.理由:∵DE平分∠BDC,∴∠2=∠FDE;∵∠1+∠2=90°,∴∠BED=∠DEF=90°;∴∠3+∠FDE=90°;∴∠2+∠3=90°.24.完成下面推理过程:如图,已知∠1=∠2,∠B=∠C,可推得AB∥CD.理由如下:∵∠1=∠2(已知),且∠1=∠CGD(对顶角相等),∴∠2=∠CGD(等量代换).∴CE∥BF(同位角相等,两直线平行).∴∠BFD=∠C(两直线平行,同位角相等).又∵∠B=∠C(已知),∴∠BFD=∠B(等量代换).∴AB∥CD(内错角相等,两直线平行).【考点】平行线的判定与性质.【分析】先由对顶的定义得到∠1=∠CGD,则∠2=∠CGD,根据平行线的判定得到CE∥BF,则∠C=∠BFD,易得∠B=∠BFD,然后根据平行线的判定即可得到AB∥CD.【解答】解:答案为:对顶角相等;同位角相等,两直线平行;BFD两直线平行,同位角相等;BFD;内错角相等,两直线平行.25.如图①,△ABC的角平分线BD、CE相交于点P.(1)如果∠A=70°,求∠BPC的度数;(2)如图②,过P点作直线MN∥BC,分别交AB和AC于点M和N,试求∠MPB+∠NPC的度数(用含∠A的代数式表示);(3)在(2)的条件下,将直线MN绕点P旋转.(i)当直线MN与AB、AC的交点仍分别在线段AB和AC上时,如图③,试探索∠MPB、∠NPC、∠A三者之间的数量关系,并说明你的理由;(ⅱ)当直线MN与AB的交点仍在线段AB上,而与AC的交点在AC的延长线上时,如图④,试问(i)中∠MPB、∠NPC、∠A三者之间的数量关系是否仍然成立?若成立,请说明你的理由;若不成立,请给出∠MPB、∠NPC、∠A三者之间的数量关系,并说明你的理由.【考点】三角形内角和定理;平行线的性质;三角形的外角性质.【分析】(1)根据三角形内角和定理得到∠BPC=180°﹣∠PBC﹣∠PCB,再根据角平分线定义得到∠BPC=180°﹣(∠ABC+∠ACB),再利用三角形内角和定理得∠BPC=180°﹣=90°+∠A,然后把∠A的度数代入计算;(2)根据平角定义得∠MPB+∠NPC=180°﹣∠BPC,然后根据(1)的求解;(3)(i)∠与(2)的说理一样;(ⅱ)有结论∠MPB﹣∠NPC=90°﹣∠A.【解答】解:(1)∠BPC=180°﹣∠PBC﹣∠PCB=180°﹣(∠ABC+∠ACB)=180°﹣=90°+∠A=90°+×70°=125°;(2)∵∠BPC=90°+∠A,∴∠MPB+∠NPC=180°﹣∠BPC=180°﹣(90°+∠A)=90°﹣∠A;(3)(i)∠MPB+∠NPC=90°﹣∠A.理由如下:∵∠BPC=90°+∠A,∴∠MPB+∠NPC=180°﹣∠BPC=180°﹣(90°+∠A)=90°﹣∠A;(ⅱ)不成立,有∠MPB﹣∠NPC=90°﹣∠A.理由如下:由图可知∠MPB+∠BPC﹣∠NPC=180°,由(i)知:∠BPC=90°+∠A,∴∠MPB﹣∠NPC=180°﹣∠BPC=180°﹣(90°+∠A)=90°﹣∠A.2017年4月7日。
第三周双休测试
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六年级第三周自测卷一、看拼音写词语。
(8分)zhǎn lǎn suàn bàn fěi cuì sùrán qǐjìnɡbiān pào( ) ( ) ( ) ( ) ( ) línɡqībā suìdūn hîu wàn xiànɡɡēnɡxīn( ) ( ) ( )二、给下列带点的字选择正确的读音。
(6分)小李待人和(hã huá)气,与人相处从不强(qiǎng jiàng)嘴,他做事责任心很强(qiáng jiàng),坚持原则,从不和(huï huò)稀泥,对不同的意见,既不能随声附和(hã hâ),也不强(qiǎng qiáng)词夺理。
三、查字典填空。
(6分)“凹”用数笔画查字法查画。
“归”用部首查字法先查部,再查画。
“归”在字典中的解释有(1)返回;(2)属于;(3)趋向。
“众望所归”、“归国华侨”、“这件事归我办”中“归”的依次解释是、、。
四、用“”标出并改正下列词语中的错别字。
(24分)大雨顷盆()三年五栽()自身自灭()惊滔骇浪()腾云架雾()吉详如意()高歌慢舞()翻天复地()博彩众长()美不盛收()前伏后仰()潇洒青秀()五、缩写下列句子。
(15分)1、同学们渴望进步、爱读好书的热情,又一次深深地印在老作家的心上。
2、鸟的叫声透过树林的沙沙声模模糊糊地传来。
3、五彩缤纷的焰火在夜空中构成了一幅幅美妙的图画。
4、他那微微张开的嘴唇和没精打采的目光,显得又虚弱又疲惫。
5、人民大会堂的旁边停放着许许多多各式各样的小汽车。
六、(一)《北京的春节》(节选)阅读练习(24分)除夕真热闹。
家家赶作年菜,到处是酒肉的香味。
老少男女都穿起新衣,门外贴上了红红的对联,屋里贴好各色的年画。
九上语文周测第三周(解析版)
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九上语文周测(第三周)(对应内容:《醉翁亭记》、语法:复句<一>、《敬业与乐业》、写作:紧扣观点论证)一、积累与应用(44分)1.根据拼音写出汉字,或给加点字注音。
(6分)用心灵贴近自然,是欣赏自然之美的mìjué。
春天,花朵鲜妍明媚,一如笑靥.;夏天,凉风拂.过荷池,心湖也荡起涟漪;秋天,芦苇在风中摇yè,飘散漫天的絮语;冬季,山岭树木银妆素裹,巍峨清秀,险俊俏超逸。
用心灵贴近自然,四季不老,人生不羁。
(1)根据拼音写汉字:mìjué摇yè(2)给加点字注音:笑靥.拂.过(3)找出上面文段中的两个错别字,并订正。
改成改成【参考答案】(1)秘诀曳(2)yèfú(3)妆装俊峻2.默写古诗文。
(10分)(1)知之者不如好之者,。
(《雍也》)(2)用志不分,。
(《庄子·达生》)(3),,欲与天公试比高。
(毛泽东《沁园春·雪》)(4)为什么我的眼里常含泪水,。
(艾青《我爱这土地》)(5)但愿人长久,。
(苏轼《水调歌头》)(6)欧阳修的的《醉翁亭记》中,“,”两句是全文的核心句,也为下文写景抒情定下了感情基调。
(7)岳阳楼上题有“杜少陵五言绝唱,范希文两字关情”,下联中的“范希文两字关情”赞的是范仲淹在《岳阳楼记》中抒写的“,”的远大理想和政治抱负。
【参考答案】(1)好之者不如乐之者(2)乃凝于神(3)山舞银蛇,原驰蜡象(4)因为我对这土地爱得深沉(5)露从今夜白(6)醉翁之意不在酒,在乎山水之间也(7)先天下之忧而忧,后天下之乐而乐3.下列加点词语使用正确..的一项是()(3分)A.老王为人热情,无论遇见谁都要拉着别人嘘寒问暖,强聒不舍....,大家都很喜欢他。
B.学习语文一定要学会在文章中断章取义....,品词析句。
C.环境污染日趋严重,食品安全更令人担忧,这两个问题相得益彰....,令各级政府倍感肩上的担子沉重。
周考3答案
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周考3答案1.答案:D解析:A.棱léng;B.腈jīng;C.呱gū。
2.答案:A解析:B.代-待;C.雀-鹊;D.吓-下。
3.答案:A.解析B项“未雨绸缪”读次音móu ;C项“毗连”不能套读半边,应读pí;D项“奶酪”在方言中读音就是luò,要注意纠错,应读lào。
4.【参考答案】B【试题分析】A项,际度jì,其余读作jí;C项,钦读作qin,其余读作qing;D项,丽读作lì,其余读作nì。
5.【参考答案】B【试题分析】A平添C项远见卓识,D项熏陶6.【解题透析】D[A.着(zhuó)装;B.校(jiào)对;C.鲜(xiǎn)有所闻]2010年高考语文湖北卷文言文阅读·《原弊》解析7.[答案]A [解析]鄙:浅陋。
8.[答案]A [解析]第3、4、6句与题干无关。
9.[答案]C [解析]C项偷换文意,乱加因果。
10.(1)但是如今当官的不是这亲,只是处理公文,办理政务罢了。
(2)耕种的人不再被督责尽力耕种,消费者不再根据收入确定支出。
(3)只知道他们一时不去做盗贼,却不知道他们一生都在骄横懒惰窃取衣食。
【试题分析】(1)为吏、然、簿书听断;(2)督、用者、计其出入;(3)苟知、而、窃食11答案是非颇谬于圣人/论大道则先黄老而后六经/序游侠则退处士而进奸雄/述货殖则崇势利而羞贫贱/此其弊也/予按/此正是迁之微意。
解读:这是一个历史学家(班固)批评另一个历史学家(司马迁)的话。
班固在《汉书·司马迁传》中指出:司马迁的《史记》,在关于古圣贤的是非判断方面中有错误的,比如:论天人大道是先黄老(即老庄学说——看破黄尘注)后六经(即诗、书、礼、易、乐、春秋六部经典,代指孔孟之道——看破黄尘注);叙述游侠则丢掉了真正的处士而让奸雄进入《游侠列传》;在记录物产、农商的《货殖列传》中推崇有势力的而羞辱了贫贱之辈。
九年级语文周测三 现代文答案
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九年级语文周测(三)阅读测试参考答案15.在疲劳前休息如何做到在疲劳前休息呢评分意见:本题共4分。
16.一是清楚、准确地说明了心脏工作量巨大,二是清楚、准确地说明了心脏永不疲劳的原因之一是它休息时间比工作时间长。
评分意见:本题共3分。
“清楚(准确)”占1分,表达效果占2分。
17略(3分)18.C 评分意见:本题共3分。
19.略。
评分意见:本题共4分,能根据文章内容写出合理的提示和建议得3分,语言亲切生动1分14. ②③段介绍桃花文化独特的现象,⑤⑥段解释了桃花文化形成的原因,这种结构安排符合逻辑顺序,且与第①段的总领句相照应。
评分意见:本题共4分,每点1分,意思对即可。
15. C、D、B、A 评分意见:本题共4分。
每空1分。
16. “不能不”:必然,一定会,双重否定,表示肯定。
强调了从《诗经》始,人们铺陈春景就必然写桃花,突出了桃花文化反映了中国文人崇尚美、向往美的自然观。
(人们借桃花表达对自然和永恒生命的向往)评分意见:本题共3分。
解词1分,所“强调”的句义1分,事理1分。
17. 示例1:特邀百对新人参与“情定桃花源”的活动,体现了在恋爱、婚姻等民间喜庆活动里,桃花是“尚红”礼俗的主要角色。
示例2:文人墨客即兴吟诗作画,体现了中国文人借桃花表达对生活的热爱。
示例3:花开时节,无数游客慕名前往体现了早春赏桃花已经成为一种习俗。
评分意见:本题共4分。
每条2分,意思对即可。
18.①处示例:他不喜“大菜”,只好“小菜”,表现了他对家常物什的真喜欢。
④处示例:他既耿介清高,又让平民可亲可感。
(他既有士大夫的雅致,又有平民的情怀。
)评分意见:本题共4分。
每空2分,结合文章内容阐述,意思对即可。
19.A处示例:原句运用倒装(短句)突出强调了汪曾祺对世俗生活本真的热爱,表达了作者对汪曾祺的赞美,改后的句子为陈述句,语气平淡,不能充分表达这种感情。
评分意见:本小题3分。
句式特点1分,突出强调的内容和情感1分,改句的不同1分。
七年级数学下册第三周周测试题
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2019年七年级数学下册第三周周测试题一:选择题 (每小题3分,共30分)选择题答案写在答题卡内1.已知,则.........................(***)A. x=4,y=4B.x=3,y=4C.x=4,y=3D. x=3,y=32.如果( ) ,则( )内应填的代数式是.............(***)A. B. C. D.3.下列计算正确的是............................ ...................( ***)A. B.C. D.4.下列算式能用平方差公式计算的是.................................(***)A.(-a-b)(-a+b)B.C.(3x-y)(-3x+y)D.(2a+b)(2b-a)5.若多项式 +16是完全平方式,则m的值是...................(***)A.8B. 4C. 8 D46.下列运算错误的是..................... ............. ............. (***)A. B.C. D.7. 计算的结果应是................ ..............(** *).8.若多项式(m+ 4)x3+2x2+x-1的次数是2次,则m2-m的值为....... (*** )A.10B.12C.16D.209.计算的结果是..................................(***)A. 2a2+8b2B.4b2C.2a2-8b2D.2a210.在边长为a的正方形中,剪去一个边长为b的小正方形(ab),将余下部分拼成一个梯形,根据两个图形阴影部分面积的关系,可以得到一个关于a、b的恒等式为. ..(***) A. B.C. D.无法确定选择题答题卡题号 1 2 3 4 5 6 7 8 9 10答案二:填空题(每小题3分,共18分)11. 若单项式是同类项,则它们的积是。
2019-2020年高三上学期第三周周测英语试题 含答案
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2019-2020年高三上学期第三周周测英语试题含答案Grammar and VocabularySection ADirection: After reading the passage below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with theproper form of the given word; for the other blanks, use one word that best fits each blank.When I was a Ph.D. student, a respected professor at our school had a heart attack in his office and died among familiar and shocked colleagues in the department. I didn't know it at themy academic career after I faced my own life-changing illness. While I was a postdoc (博士后),and held me in the grip of crushing dizziness. This harsh reality check has made me thinkmy office if facing a deadline. When I returned to work after my illness—despite its severity, I took just 2 months off because of increasing medical bills, and no certainty of ongoing employment—I fell back into the academic achievement trap.(5) a fear of relapse (复发) made me question my actions and, ultimately, thehealth. I didn't want to hurt myself permanently by pursuing career advancement at all costs, but I(difficult) task—overe my prejudices about what a successful career looks like.Now, I am building a nontraditional academic path. I am still a university research fellow, but my research into how mining panies can decrease their environmental impact is funded by industry. For these funders, what matters more than my publication record is my creativity,like a pressure valve has been released in my life, easing the worries and long hours and allowingmost importantly, I was well enough to be there to witness it.Section BDirections: plete the following passage by using the words in the box. Each word can only beused once. Note that there is one word more than you need.Have you ever wondered how freshly baked bread gets its golden brown crust and why it smells so good? Or how green berries turn into beautiful brown coffee beans with a rich (11) aroma?The answers to these questions lie in a series of plex of chemical reactions, known as Maillard reactions, which give many foods their familiar flavors and colors. These (12) properties even guide us in how we choose foods and help create our initial idea of their quality.As the name suggests, Maillard reactions were first described by a French physician and biochemist, Louis-Camille Maillard, in 1912. These reactions (13) hundreds of chemical pounds that give colors and aroma to some of our favorite foods such as roast meat, potato chips, bread and other bakery products, coffee, and chocolate.These reactions (14) most rapidly under conditions of low moisture and at temperatures above about 130℃. Hence, they tend to kick in when we fry, bake, grill or roast.Maillard reactions are also referred to as browning reactions because of the color they give to foods cooked in this way. When meat is grilled or roasted, only the (15) is usually hot enough to cause browning. The interior can keep a pinkish color because the cooking temperature stays below that (16) for Maillard reactions to occur rapidly. Foods cooked by boiling or steaming do not turn brown or acquire the plexity of flavors because the temperature only reaches about 100℃.The (17) products of Maillard reactions are small molecules(分子), which are responsible for the aromas we get from freshly baked bread and coffee. More plex reactions then take place to form larger molecules responsible for the golden to brown colors. This is why the aroma of baking bread is (18) before the crust browns. As for the later Maillard reactions, we only know that some of the molecules they form have unpleasant (19) and may even be poisonous, for example, in meat that is burnt black.In spite of that, the importance of Maillard reactions in the kitchen and beyond is well (20) , more than a century after they were first described and we can take advantage of their benefits while continuing to learn about this fascinating area of chemistry.Reading prehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C, and D. Fill in each blank with the word or phrase that best fits the context.Starting a new job is both exciting and upsetting. You are eager to begin the next chapter of your career and make your mark at a new pany, but there are dozens of 21 . Will you likeyour co-workers and will they like you? Are you prepared for a new set of responsibility? Is your boss actually normal, or will the craziness slowly 22 itself?Set yourself for success with these tips for 23 yours first week on the job.Start RestedAdapting to a new job can be physically and mentally exhausting. You need to adjust to a new mute (上下班路程)or 24 working hours. And, as you strive to make a good impression with management and your peers, you have to “be25 ” from the minute you walk through the door until the moment you leave for the day. So use whatever downtime you have before starting your new job to catch up on sleep and do the activities that leave you feeling 26 . (This may mean skipping a night out with friends in favor of a quiet evening at home.) Do a Little ResearchWhile most panies expect new hires to e with a learning 27 , it doesn’t hurt to do some research-you’ll give yourself a bit of advantage and appear28 . Set a new alert for your pany’s name, and catch up on recent articles that relate to the industry. If the pany’s website includes a staff section, familiarize yourself with the various 29 and get a sense of how the pany is structured.Take NotesGet a fresh notebook and fill it with notes-on everything. Coworkers’ name, organizational facts, the bathroom security code… A new job es with too much information to rely on your 30 alone. And 31 you may be petent at the keyboard, carrying your laptop to every meeting can get 32 , and looking down at a phone or a tablet while someone speaks is rude.Hold Off on RemendationsYou were hired for your experience, skills and knowledge, but be careful about offering suggestions or big ideas too 33 . You run the risks of looking like a know-it-all. Spend your first week or so listening, processing information and 34 yourself with the pany culture. Given adequate time, your ideas will be more 35 and better received.24. A. concerns B. suspicious C. unknown D. crossroads25. A. behave B. transform C. conceal D. reveal26. A. attaching importance to B. making the most ofC. applying yourself toD. keeping pace with27. A. different B. divided C. unpleasant D. fixed28. A. away B. off C. up D. on29. A. challenged B. restored C. relieved D. undisturbed30. A. prospect B. curve C. need D. ability31. A. confirmed B. educated C. prepared D. assured32. A. aspects B. functions C. requirements D. departments(A)The moment I cross the threshold of a bank and attempt to transact business there, I bee an irresponsible idiot.I knew this beforehand, but my salary had been raised to fifty dollars a month and I felt that the bank was the only place for it.So I shambled in and looked timidly round at the clerks. I had an idea that a person about to open an account must needs consult the manager.I went up to a wicket marked 'Accountant'. The Accountant was a tall, cool devil. The very sight of him rattled me. My voice was sepulchral.'Can I see the manager?' I said, and added solemnly, 'alone.' I don't know why I said 'alone.' 'Certainly,' said the accountant, and fetched him.The manager was a grave, calm man. I held my fifty-six dollars clutched in a crumpled ball in my pocket.'Are you the manager?' I said. God knows I didn't doubt it.'Yes,' he said.'Can I see you,' I asked, 'alone?' I didn't want to say 'alone' again, but without it the thing seemed self-evident.The manager looked at me in some alarm. He felt that I had an awful secret to reveal.'e in here,' he said, and led the way to a private room He turned the key in the lock.'We are safe from interruption here,' he said: 'sit down.'We both sat down and looked at each other. I found no voice to speak.'You are one of Pinkerton's men, I presume,' he said.He had gathered from my mysterious manner that I was a detective. I knew what he wasthinking, and it made me worse.'No, not from Pinkerton's,' I said, seeming to imply that I came from a rival agency. 'To tell the truth,' I went on, as if I had been prompted to lie about it, 'I am not a detective at all. I have e to open an account. I intend to keep all my money in this bank.'The manager looked relieved but still serious; he concluded now that I was a son of Baron Rothschild or a young Gould.'A large account, I suppose,' he said.'Fairly large, I whispered. 'I propose to deposit fifty-six dollars now and fifty dollars a month regularly.The manager got up and opened the door. He called to the accountant.'Mr. Montgomery,' he said unkindly loud, 'this gentleman is opening an account. He will deposit fifty-six dollars. Good morning.'I rose.36.Why did the writer decide to deposit his salary in the bank?A. Because he knew no other nearer place to deposit his money.B. Because he knew nothing about how to use a large sum of $50.C. Because opening a bank account is easier than using the money.D. Because he thought the bank was the safest place for his raised money.37.How did the writer feel when approaching the bank staff?A. NervousB. AlertC. DesperateD. Dismayed38.What did the manager think at the writer’s request of seeing his alone?A. He thought the writer was suspicious enough to arouse alarm.B. He thought was sent by a rival to spy on the bank.C. He felt that the writer had something serious and secret to reveal.D. He suspected the writer was lying about his identity and purpose.39.What did the manager do in the end?A. He called in the accountant to take care of the writer.B. He left the writer’s business with one of his clerks.C. He helped Mr. Montgomery open an account unwillingly.D. He asked the writer to leave with his $56.(B)Whether you’re just out of college or have spent he last few years working under the watchful eye of a supervisor, you probably haven’t had the opportunity to make that many independent decisions. At least, not very big ones. You’ve always been forcefully pushed onto the right path, which does not leave you with much evidence of critical decision-making skills, which employers love. It’s safe to say that the majority of people on extue phoneended trips abroad will suffer some sort of personal mishap. For example, your phone has just suffered a major coughing fit, and you don’t have a paper map with you, a couple of hours away from your hotel. Nothing teaches resourcefulness and quick decision-making like such a good crisis, and nothing helps a manager sleep better at night than knowing there is someone on the team they can count on in the event of a full-skill meltdown.Losing one’s wallet may seem like a pretty big deal to most people---you should probably report it lost or stolen to the relevant authorities, cancle your credit cards, ask a stranger for bus fare home, and so on. Now image the same thing happening in the middle of Uzbekistan. Words like “body language” and “effective munication” may be entirely over-used these days, but never underestimate the value of knowing how to convey a message without the luxury of having a fluent native English speaker on the receiving end in a foreign land.Not only does traveling force you to awaken your inner word bank, but it also teaches you about the large number of cultural quirks that can present real obstacles n a world where cross-cultural munication has bee an everyday thing in the workplace. What may be polite in your country, may have the plete opposite effect in another.There skills are invaluable in any field of work, and the sooner you learn them, the more dramatically you will stand out from your peers. In any employer’ eye, you’re a rare find.40. What does the writer think is the best teacher of decision-making for a future job?A.Quitting college for an extended tripB.Working under the supervisor’s watchful eyeC.Tricky situations that may arise in travelingD.Being counted on to tackle a business meltdown41.What poses the greatest challenge in the case of property loss when traveling abroad?A. plicated administrative procedures that goes along with the lossB. approaching locals who know little of what you exoress about your troubleC. finding your body language and effective munication over-usedD. overing cultural obstacles that are rarely found in workplace42.which case illustrates “cultural quirks that present real obstacles” in cross-cultural municationA. Getting lost in a foreign land among a crowd understanding none of your languageB. Bargaining is rarely seen in West but in countries further east, it is an everyday part of lifeC. Giving a thumbs-up signal to a Thai client may be greeted with a thumb-down in businessD. Finding both your large vocabulary and rich body language just don’t help in munication43.What is the best title of the article?A. How to Stand Out as a Global Job CandidateB. Why Employers Love World TravelersC. munication is a Key Decision MakerD. secrets to Impressing your Future BossSection CDirections: Read the following article and choose the most suitable statement from A--F for each blank. There are two extra statements which you do not need.A. At the time we write, the reader exists only in our imaginations, and, thus, writing is above all an act of pretense.B. If you talk to a man in a language he understands, that goes to his head. If you talk in his language, that goes to his heart.C. Speaking and writing involve very different kinds of human relationship, and only the one associated with speech es to us naturally.D. An active posing a manifesto must write as if he is standing in front of a crowd and whipping up their emotion.AB. The spoken word is older than our specie, and the instinct for language allows children to engage in clear conversation years before they enter a schoolhouse.AC. If they need clarification, or cannot believe what has been said, or have something to add, they can break into the conversation or follow up in a turn.Writing is an unnatural act. As Charles Darwin observed, “Men has an instinctive tendency to speak, as we see in the babble of our young children, whereas no child has an instinctive tendencyto bake, brew, or write.”44.________But the written word is a recent invention that has left not trace in our genes and must be laboriously acquired throughout childhood and beyond.Speech and writing differ in how they are acquired or developed or in their mechanics, of course, and that is one reason children must struggle with writing: it takes practice to reproduce the sounds of language with a pencil or a keyboard. But they differ in another way ,which makes the acquisition of writing a lifelong challenge even after the mechanics have been mastered.45.________Spoken conversation is instinctive because social interaction is instinctive; we speak to those with whom we are on speaking terms. When we engage our conversation partners, we have some idea of what they know and what they might be interested in learning, and as we chat with them, we monitor their eyes, their faces, and their posture.46_______.We enjoy none of this give-and-take when we cast our bread upon the waters by sending a written letter out into the world. The recipients are invisible and inscrutable, and we have to get through to them without knowing much about them or seeing their reactions.47________We have to visualize ourselves in some kind of conversation, or letter writing or public speech, or monologue, and put words into the mouth of the little avatar who presents up in this imagined world.III. Translation1.尽管Blake写小说的尝试首告成功,但经济回报确少的可怜。
2018-2019学年九年级(上)第三周周考数学试卷
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2018-2019学年九年级(上)第三周周考数学一、选择题(本大题共10小题,共30.0分)1.x有()A. 5个B. 4个C. 3个D. 2个2.如果a=2,b=9,c=6,d=3,那么()A. a、b、c、d成比例B. a、c、b、d成比例C. a、d、b、c成比例D. a、c、d、b成比例3.已知2是关于x的方程x2-2mx+3m=0的一个根,并且这个方程的两个根恰好是等腰三角形ABC的两条边长,则三角形ABC的周长为()A. 10B. 14C. 10或14D. 8或104.x的取值范围是()A. x>2B. 2<x<3C. x<2或x>3D. 2≤x≤35.若x1,x2是方程x2-2mx+m2-m-1=0的两个根,且x1+x2=1-x1x2,则m的值为()A. -1或2B. 1或-2C. -2D. 16.有一人患了流感,经过两轮传染后共有49人患了流感,设每轮传染中平均一个人传染了x人,则x的值为()A. 5B. 6C. 7D. 87.如图,直角梯形ABCD中,∠BCD=90°,AD∥BC,BC=CD,E为梯形内一点,且∠BEC=90°,将△BEC绕C点旋转90°使BC与DC重合,得到△DCF,连EF交CD 于M.已知BC=5,CF=3,则DM:MC的值为()A. 5:3B. 3:5C. 4:3D. 3:48.如图,△AOB是直角三角形,∠AOB=90°,OB=2OA,点A在反比例函数y若点B在反比例函数y的图象上,则k的值为()A. -4B. 4C. -2D. 29.Rt△ABC中,∠C=90°,AC=BC=6cm,点P从点A出发,沿AB方向以每的速度向终点B运动;同时,动点Q从点B出发沿BC方向以每秒1cm的速度向终点C运动,将△PQC沿BC翻折,点P的对应点为点P′.设点Q运动的时间为t秒,若四边形QPCP′为菱形,则t的值为()2 D. 310.如图,点P ABCD的对角线BD上的动点,过点P分别作PE⊥BC于点E,PF⊥DC于点F,连接AP并延长,交射线BC于点H,交射线DC于点M,连接EF交AH于点G,当点P在BD上运动时(不包括B、D两点),以下结论中:①MF=MC;②AH⊥EF;③AP2=PM•PH;④EF中正确结论是()A. ①③B. ②③C. ②③④D. ②④二、填空题(本大题共6小题,共18.0分)11..12.已知xy>0,则化简二次根式.13.设a,b是方程x2+x-2019=0的两个实数根,则a2+2a+b的值为______;14.在△ABC中,AB=9,AC=6.点M在边AB上,且AM=3,点N在AC边上.当AN=______时,△AMN与原三角形相似.15.如图,AB∥GH∥CD,点H在BC上,AC与BD交于点G,AB=2,CD=3,则GH的长为______.16.如图,若将图①正方形剪成四块,恰能拼成图②的矩形,设a=1,则b=______.三、计算题(本大题共2小题,共19.0分)17.((-218.2x+y-z=6,求3x+2y-z的值.四、解答题(本大题共8小题,共83.0分)19.解方程(3x-4)2=9x-12.20.利用换元法解方程x4-x2-6=0.21.某玩具店购进一种儿童玩具,计划每个售价36元,能盈利80%,在销售中出现了滞销,于是先后两次降价,售价降为25元.(1)求这种玩具的进价;(2)求平均每次降价的百分率(精确到0.1%).22.关于x的方程kx2+(k+2)x有两个不相等的实数根;(1)求k的取值范围;(2)是否存在实数k,使方程的两个实数根的倒数和等于0?若存在,求出k的值;若不存在,请说明理由.23.如图,在△ABC中,AB=AC,点P,D分别是BC,AC边上的点,且∠APD=∠B.(1)求证:△ABP∽△PCD;(2)若AB=10,BC=12,当PD∥AB时,求BP的长.24.如图,在正方形ABCD中,E、F分别是边AD、CD上的点,AE=ED,DF,连接EF并延长交BC的延长线于点G.(1)求证:△ABE∽△DEF;(2)若正方形的边长为4,求BG的长.25.如图,AC是▱ABCD的对角线,在AD边上取一点F,连接BF交AC于点E,并延长BF交CD的延长线于点G.(1)若∠ABF=∠ACF,求证:CE2=EF•EG;(2)若DG=DC,BE=6,求EF的长.26.如图,已知矩形OABC,以点O为坐标原点建立平面直角坐标系,其中A(2,0),C(0,3),点P以每秒1个单位的速度从点C出发在射线CO上运动,连接BP,作BE⊥PB交x轴于点E,连接PE交AB于点F,设运动时间为t秒.(1)当t=2时,求点E的坐标;(2)若AB平分∠EBP时,求t的值;(3)在运动的过程中,是否存在以P、O、E为顶点的三角形与△ABE相似.若存在,请求出点P的坐标;若不存在,请说明理由.2018-2019学年九年级(上)第三周周考数学试卷答案和解析【答案】1. B2. D3. B4. D5. D6. B7. C8. A9. B10. B12. -13. 201814. 2或4.517. 解:原式18. k,则x=2k,y=3k,z=4k,∵2x+y-z=6,∴4k+3k-4k=6,解得:k=2,∴x=4,y=6,z=8,则3x+2y-z=12+12-8=16.19. 解:(3x-4)2=9x-12,(3x-4)2-3(x-4)=0,(3x-4)(3x-4-3)=0,3x-4=0,3x-4-3=0,x1x220. 解:设y=x2,则原方程变为:y2-y-6=0.分解因式,得(y-3)(y+2)=0,解得,y1=-2,y2=3,当y=-2时,x2=-2,x2+2=0=0-4×20,此方程无实数解;当y=3时,x2=3,解得x1x2所以原方程的解为x1,x2.21. 解:(1)36÷(1+80%)=20元.故这种玩具的进价为每个20元;(2)设平均每次降价的百分率为x.36(1-x)2=25,解得,x≈16.7%,或x≈183%(不合题意,舍去)故平均每次降价的百分率16.7%.22. 解:(1)由△=[(k+2)]2-4×k0,∴k>-1又∵k≠0,∴k的取值范围是k>-1,且k≠0;(2)不存在符合条件的实数k理由:设方程kx2+(k+2)x的两根分别为x1、x2,由根与系数关系有:x1+x2x1•x2又,=0,解得k=-2,由(1)知,k=-2时,△<0,原方程无实解,∴不存在符合条件的k的值.23. 解:(1)∵AB=AC∴∠ABC=∠ACB∵∠APC=∠ABC+∠BAP∴∠APD+∠DPC=∠ABC+∠BAP且∠APD=∠B∴∠DPC=∠BAP且∠ABC=∠ACB∴△BAP∽△CPD(2)∵△ABP∽△PCD∵PD∥AB∴BP=24. (1)证明:∵ABCD为正方形,∴AD=AB=DC=BC,∠A=∠D=90°,∵AE=ED,∵DF=DC,∴△ABE∽△DEF;(2)解:∵ABCD为正方形,∴ED∥BG,又∵DF=,正方形的边长为4,∴ED=2,CG=6,∴BG=BC+CG=10.25. 解:(1)∵AB∥CG,∴∠ABF=∠G,又∵∠ABF=∠ACF,∴∠ECF=∠G,又∵∠CEF=∠CEG,∴△ECF∽△EGC,CE2=EF•EG;(2)∵平行四边形ABCD中,AB=CD,又∵DG=DC,∴AB=CD=DG,∴AB:CG=1:2,∵AB∥CG,∴EG=12,BG=18,∵AB∥DG,∴BF=BG=9,∴EF=BF-BE=9-6=3.26. 解:(1)当t=2时,PC=2,∵BC=2,∴PC=BC,∴∠PBC=45°,∴∠BAE=90°,∴∠AEB=45°,∴AB=AE=3,∴点E的坐标是(5,0);(2)当AB平分∠EBP时,∠PBF=45°,则∠CBP=∠CPB=45°,∴t=2;(3)存在,∵∠ABE+∠ABP=90°,∠PBC+∠ABP=90°,∴∠ABE=∠PBC,∵∠BAE=∠BCP=90°,∴△BCP∽△BAE,,∵若△POE∽△EAB,=∴t1=t2(舍去),∴P的坐标为(0当点P在y轴的负半轴上时,若△POE∽△EAB若△POE∽△BAE解得t(舍弃)∴P的坐标为(00,【解析】1. 解:由题意,得x+3>0且4-3x≥0,解得-3<x整数有-2,-1,0,1,故选:B.根据被开方数是非负数,分母不能为零,可得答案.本题考查了二次根式有意义的条件,利用被开方数是非负数,分母不能为零得出不等式是解题关键.2. 解:A,则a、b、c、d成比例错误;B==3,则a、c、b、d成比例错误;C a、d、b、c成比例错误;D a、c、d、b成比例正确.故选:D.四条线段成比例及第一条与第二条的比值等于第三条与第四条的比值,据此代入数值即可判断.本题考查了比例线段的定义,四条线段成比例线段时,要一定注意线段的顺序.3. 【分析】此题主要考查了一元二次方程的解,解一元二次方程-因式分解法,三角形三边关系定理以及等腰三角形的性质,注意求出三角形的三边后,要用三边关系定理检验.先将x=2代入x2-2mx+3m=0,求出m=4,则方程即为x2-8x+12=0,利用因式分解法求出方程的根x1=2,x2=6,分两种情况:①当6是腰时,2是底边;②当6是底边时,2是腰进行讨论.注意两种情况都要用三角形三边关系定理进行检验.【解答】解:∵2是关于x的方程x2-2mx+3m=0的一个根,∴22-4m+3m=0,m=4,∴x2-8x+12=0,解得x1=2,x2=6.①当6是腰时,2是底边,此时周长=6+6+2=14;②当6是底边时,2是腰,2+2<6,不能构成三角形.所以它的周长是14.故选B.4. 解:∵,x-2+3-x,x-2≥0,x≥0,∴2≤x≤3,故选:D.x被消去了,即2-x+x+3或x-2-x+3,从而求解.此题主要考查二次根式的性质和化简,计算时要仔细,是一道好题.5. 【分析】本题考查了根与系数的关系以及根的判别式,根据根与系数的关系以及x1+x2=1-x1x2,找出关于m的一元二次方程是解题的关键.根据根与系数的关系结合x1+x2=1-x1x2,即可得出关于m的一元二次方程,解之即可得出m的值,再根据方程有实数根结合根的判别式,即可得出关于m的一元一次不等式,解之即可得出m的取值范围,从而可确定m的值.【解答】解:∵x1,x2是方程x2-2mx+m2-m-1=0的两个根,∴x1+x2=2m,x1•x2=m2-m-1,∵x1+x2=1-x1x2,∴2m=1-(m2-m-1),即m2+m-2=0,解得:m1=-2,m2=1.∵方程x2-2mx+m2-m-1=0有实数根,∴△=(-2m)2-4(m2-m-1)=4m+4≥0,解得:m≥-1,∴m=1.故选D.6. 解:根据题意得:1+x+x(1+x)=49,解得:x=6或x=-8(舍去),则x的值为6.故选:B.根据题意列出方程,求出方程的解即可得到结果.此题考查了一元二次方程的应用,找出题中的等量关系是解决本题的关键.7. 解:由题意知△BCE绕点C顺时转动了90度,∴△BCE≌△DCF,∠ECF=∠DFC=90°,∴CD=BC=5,DF∥CE,∴∠ECD=∠CDF,∵∠EMC=∠DMF,∴△ECM∽△FDM,∴DM:MC=DF:CE,∵DF,∴DM:MC=DF:CE=4:3.故选:C.由题意可得△BCE≌△DCF,从而得到CD=BC,根据相似三角形的判定方法得到△ECM∽△FDM,则勾股定理可求得DF的长,从而可得到DM:MC的值.本题利用了旋转后的图形与原图形全等,及全等三角形的性质,勾股定理,相似三角形的判定和性质求解.8. 解:过点A,B作AC⊥x轴,BD⊥x轴,分别于C,D.设点A的坐标是(m,n),则AC=n,OC=m,∵∠AOB=90°,∴∠AOC+∠BOD=90°,∵∠DBO+∠BOD=90°,∴∠DBO=∠AOC,∵∠BDO=∠ACO=90°,∴△BDO∽△OCA,∵OB=2OA,∴BD=2m,OD=2n,因为点A在反比例函数y mn=1,∵点B在反比例函数y的图象上,B点的坐标是(-2n,2m),∴k=-2n•2m=-4mn=-4.故选:A.要求函数的解析式只要求出B点的坐标就可以,过点A,B作AC⊥x轴,BD⊥x轴,分别于C,D.根据条件得到△ACO∽△ODB,然后用待定系数法即可.本题考查了反比例函数图象上点的坐标特征,相似三角形的判定和性质,求函数的解析式的问题,一般要转化为求点的坐标的问题,求出图象上点的横纵坐标的积就可以求出反比例函数的解析式.9. 解:连接PP′交BC于O,∵若四边形QPCP′为菱形,∴PP′⊥QC,∴∠POQ=90°,∵∠ACB=90°,∴PO∥AC,∵设点Q t秒,∴AP,QB=t,∴QC=6-t,∴CO∵AC=CB=6,∠ACB=90°,∴AB解得:t=2,故选:B.首先连接PP′交BC于O,根据菱形的性质可得PP′⊥CQ,可证出PO∥AC,根据平行再表示出AP、AB、CO的长,代入比例式可以算出t的值.此题主要考查了菱形的性质,勾股定理,平行线分线段成比例,关键是熟记平行线分线段成比例定理的推论:平行于三角形一边的直线截其他两边(或两边的延长线),所得10. 解:①错误.因为当点P与BD中点重合时,CM=0,显然FM≠CM;②正确.连接PC交EF于O.根据对称性可知∠DAP=∠DCP,∵四边形PECF是矩形,∴OF=OC,∴∠OCF=∠OFC,∴∠OFC=∠DAP,∵∠DAP+∠AMD=90°,∴∠GFM+∠AMD=90°,∴∠FGM=90°,∴AH⊥EF.③正确.∵AD∥BH,∴∠DAP=∠H,∵∠DAP=∠PCM,∴∠PCM=∠H,∵∠CPM=∠HPC,∴△CPM∽△HPC,∴PC2=PM•PH,根据对称性可知:PA=PC,∴PA2=PM•PH.④错误.∵四边形PECF是矩形,∴EF=PC,∴当CP⊥BD时,PC的值最小,此时A、P、C共线,∵AC=2,∴PC的最小值为1,∴EF的最小值为1;故选:B.①错误,②正确.想办法证明∠GFM+∠AMD=90°即可;③正确.只要证明△CPM∽△HPC PC2=PM•PH,根据对称性可知:PA=PC,可得PA2=PM•PH;④错误.利用矩形的性质可知EF=PC,当PC⊥BD时,EF的值最小,最小值为1;本题考查正方形的性质、矩形的判定和性质、相似三角形的判定和性质等知识,解题的关键是灵活运用所学知识解决问题,属于中考选择题中的压轴题.11. 解:∴4(a-b)=3b,∴4a=7b,故答案为:根据两内项之积等于两外项之积列式整理即可得解.本题考查了比例的性质,熟记两内项之积等于两外项之积是解题的关键.12. 解:∵∴y<0,∵xy>0,∴x<0,x故答案为.根据题意可知,y<0,然后对二次根式进行化简,根据xy>0,去绝对值号.本题主要考查二次根式的性质与化简、不等式的性质,关键在于推出x、y的取值范围.13. 解:∵设a,b是方程x2+x-2019=0的两个实数根,∴a+b=-1,a2+a-2019=0,∴a2+a=2019,∴a2+2a+b=(a2+a)+(a+b)=2019+(-1)=2018,故答案为:2018.根据根与系数的关系和一元二次方程的解得出a+b=-1,a2+a-2019=0,变形后代入,即可求出答案.本题考查了根与系数的关系和一元二次方程的解,能求出a+b=-1和a2+a=2019是解此题的关键.14. 解:由题意可知,AB=9,AC=6,AM=3,①若△AMN∽△ABC,=,解得:AN=2;②若△AMN∽△ACB,=,解得:AN=4.5;故AN=2或4.5.故答案为:2或4.5.分别从△AMN∽△ABC或△AMN∽△ACB去分析,根据相似三角形的对应边成比例,即可求得答案.此题考查了相似三角形的性质.此题难度适中,注意掌握分类讨论思想的应用是解此题的关键.15. 解:∵AB∥GH,∵GH∥CD,①+②,得+=,,解得GH根据平行线分线段成比例定理,由AB∥GH GH∥CD两个式子相加,即可求出GH的长.本题考查了平行线分线段成比例定理,熟练运用等式的性质进行计算.本题难度适中.16. 解:依题意得(a+b)2=b(b+a+b),而a=1,∴b2-b-1=0,∴b而b不能为负,∴b故答案为:根据图1可以知道图形是一个正方形,边长为(a+b),图2是一个长方形,长宽分别为(b+a+b)、b,并且它们的面积相等,由此即可列出等式(a+b)2=b(b+a+b),而a=1,代入即可得到关于b的方程,解方程即可求出b.此题主要考查了图形的剪拼,是一个信息题目,首先正确理解题目的意思,然后会根据题目隐含条件找到数量关系,然后利用数量关系列出方程解决问题.17. 先计算二次根式的乘法、去绝对值符合、计算零指数幂,再合并同类二次根式即可得.本题主要考查二次根式的混合运算,解题的关键是熟练掌握二次根式的运算法则、绝对值性质及负整数指数幂.18. k,则x=2k,y=3k,z=4k,代入2x+y-z=6求出k的值,据此可得x,y,z的值,代入计算可得.本题主要考查比例的性质,解答此类题关键是灵活运用设“k”法求解代数式的值.19. 移项后分解移式,即可得出两个一元一次方程,求出方程的解即可.本题考查了解一元二次方程的应用,能把一元二次方程转化成一元一次方程是解此题的关键.20. 先设y=x2,则原方程变形为y2-y-6=0,运用因式分解法解得y1=-2,y2=3,再把y=-2和3分别代入y=x2得到关于x的一元二次方程,然后解两个一元二次方程,最后确定原方程的解.本题考查了换元法解一元二次方程:当所给方程的指数较大,又有倍数关系时,可考虑用换元法降次求解.21. 本题考查理解题意的能力,根据售价和盈利情况求出进价,根据原来的售价和经过两次降价后现在的售价,可求出降价的百分率.(1)根据计划每个售价36元,能盈利80%,可求出进价.(2)设平均每次降价的百分率为x,根据先后两次降价,售价降为25元可列方程求解.22. (1)由于x的方程kx2+(k+2)x有两个不相等的实数根,由此可以得到判别式是正数,这样就可以得到关于k的不等式,解不等式即可求解;(2)不存在符合条件的实数k.设方程kx2+(k+2)x的两根分别为x1、x2,由根与系数关系有:x1+x2x1•x2,然后把前面的等式代入其中即可求k,然后利用(1)即可判定结果此题主要考查了一元二次方程的判别式和根与系数的关系,解题时将根与系数的关系与代数式变形相结合解题是一种经常使用的解题方法.23. (1)由题意可得∠ABC=∠ACB,∠DPC=∠BAP,可证△ABP∽△PCD;(2))由△ABP∽△PCD PD∥AB BP的长.本题考查了相似三角形的判定与性质,等腰三角形的性质,熟练掌握相似三角形的性质是本题的关键.24. (1)由正方形的性质可得AD=AB=DC=BC,∠A=∠D=90°,然后根据对应边成比例且夹角相等可判定△ABE∽△DEF;(2)由ED∥BG DF可得ED=2,CG=6,进而可得答案.此题主要考查了相似三角形的判定和性质,关键是掌握两个三角形相似也有对应角相等,对应边的比相等.25. (1)依据等量代换得到∠ECF=∠G,依据∠CEF=∠CEG,可得△ECF∽△EGC,进而CE2=EF•EG;(2)依据AB=CD=DG,可得AB:CG=1:2,依据AB∥CG,即可得出EG=12,BG=18,再根据AB∥DG,可得BF=9,进而得到EF=BF-BE=9-6=3.本题主要考查了平行四边形的性质、相似三角形的判定与性质,在判定两个三角形相似时,应注意利用图形中已有的公共角、公共边等隐含条件,以充分发挥基本图形的作用,问题(2)的解法不唯一,也可以根据点F是AD的中点,△AEF与△CEB相似,得到EF的长.26. (1)本题需先求出AB=AE,再求出DE=5,即可求出点E的坐标.(2)本题需先求出CP=CB=2,即可求出t的值.(3)本题需先证出△BCP∽△BAE,求出AE,再分两种情形分别求解即可解决问题;本题主要考查了相似三角形的性质与判定,在解题时要根据已知条件再结合图形是解题的关键,这是一道好题.。
人教版八年级下册第三周双休日作业(含答案)
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第三周双休日作 (第一 元含答案)一、基 知 :( 每 一个 得)1.以下 中加点字注音有 的一 是( ) A. ( f ēi ) 风趣( y ōu ) ( ch ì) 杳无音 ( y ǎo ) .. . . .B.禁 ( g ù) ( ji é) 号( chu ò) 广袤无垠( m ào ) . ...C.不 (x ùn )匿名( n ì) 尬( g à)冥思联想( m íng ).. . .D.盼望( q ǐ) 锋利( x ī) 恕(sh ù) 深 痛 (è) . ...2.以下 中没有 字的一 是( )A.磨蹭 乌黑 确如其分B. 昂 广阔正襟危坐C.嬉食粗制 造D.滞留迁移 藏 垢3. 以下加点字 正确的 。
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C.仔 看D.引 教 的事 () C.认识、理解 D.解( ) C.白色 D.( ) C.才能D. 人材()B.大家先不要忙着 我鼓掌,我的 没有 完。
C.我 要保证 次活 利展开,防备十拿九稳。
D.一个民族 回 自己 煌的 史, 把自己 煌的 史 写下去。
5.以下句子中加点 能被括号中 替 且不改 句意的一 是()A. 看上去 个人身上没有任何精神的 西,缺少 人、想象者或 造者的气..(素 )。
B.父 是个十分温厚 的人,我以 能够 去(忠厚) 。
..C. 些字使整个世界在我眼前 得花 簇,美不 收(应接不暇)。
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6.以下 句 法正确的一 是(....)A.牛 在《我的母 》中,把深情的眼光投向母 ,用朴 的文字表达了 母 深切的 念。