上海市金山區(qū)中考數(shù)學(xué)一模試卷

1、2014年上海市金山區(qū)中考數(shù)學(xué)一模試卷一、選擇題：（本大題共6題，每題4分，滿分24分）1兩個相似三角形的面積比為1：4，那么這兩個三角形的周長比為（）a1：2b1：4c1：8d1：16顯示解析2如果向量a與單位向量e方向相反，且長度為12，那么向量a用單位向量e表示為（）aa12eba2eca12eda2e顯示解析3將拋物線y=x2向右平移1個單位，所得新拋物線的函數(shù)解析式是（）ay=（x+1）2by=（x-1）2cy=x2+1dy=x2-1顯示解析4在rtabc中，a=90，如果把這個直角三角形的各邊長都擴(kuò)大2倍，那么所得到的直角三角形中，b的正切值（）a擴(kuò)大2倍b縮小2倍c擴(kuò)大4倍d大小

2、不變顯示解析5已知在rtabc中，c=90，a=，bc=m，那么ab的長為（）amsinbmcoscmsindmcos顯示解析6在平面直角坐標(biāo)系中，拋物線y=-（x-2）2+1的頂點(diǎn)是點(diǎn)p，對稱軸與x軸相交于點(diǎn)q，以點(diǎn)p為圓心，pq長為半徑畫p，那么下列判斷正確的是（）ax軸與p相離bx軸與p相切cy軸與p相切dy軸與p相交顯示解析二、填空題：（本大題共12題，每題4分，滿分48分）7如果2x=3y，那么2x+y2xy=顯示解析8已知在abc中，點(diǎn)d、e分別在邊ab、ac上，debc，adab=35，那么aece的值等于顯示解析9計算：2(a+2b)3b=顯示解析10拋物線y=x2+2x的對稱

3、軸是顯示解析11二次函數(shù)y=2x2+t的圖象向下平移2個單位后經(jīng)過點(diǎn)（1，3），那么t=顯示解析12已知在abc中，c=90，ab=12，點(diǎn)g為abc的重心，那么cg=顯示解析13已知在rtabc中，c=90，bc=3ac，那么a=度顯示解析14已知在rtabc中，c=90，cotb=13，bc=3，那么ac=顯示解析15已知內(nèi)切兩圓的圓心距為6，其中一個圓的半徑為4，那么另一個圓的半徑為顯示解析16如果正n邊形的每一個內(nèi)角都等于144，那么n=顯示解析17正六邊形的邊長為a，面積為s，那么s關(guān)于a的函數(shù)關(guān)系式是顯示解析18在rtabc中，c=90，cosb35，把這個直角三角形繞頂點(diǎn)c旋轉(zhuǎn)后

4、得到rtabc，其中點(diǎn)b正好落在ab上，ab與ac相交于點(diǎn)d，那么bdcd=顯示解析三、解答題：（本大題共7題，滿分78分）19計算：2sin260cos245cos30tan30tan60cot45顯示解析20已知一個二次函數(shù)y=x2+bx+c的圖象經(jīng)過點(diǎn)（4，1）和（-1，6）（1）求這個二次函數(shù)的解析式；（2）求這個二次函數(shù)圖象的頂點(diǎn)坐標(biāo)和對稱軸顯示解析21如圖，已知ab是o的弦，點(diǎn)c在線段ab上，oc=ac=4，cb=8求o的半徑顯示解析22如圖1，某超市從底樓到二樓有一自動扶梯，圖2是側(cè)面示意圖已知自動扶梯ab的坡度為1：2.4，ab的長度是13米，mn是二樓樓頂，mnpq，c是mn

5、上處在自動扶梯頂端b點(diǎn)正上方的一點(diǎn)，bcmn，在自動扶梯底端a處測得c點(diǎn)的仰角為42，求二樓的層高bc（精確到0.1米）（參考數(shù)據(jù)：sin420.67，cos420.74，tan420.90）顯示解析23如圖，在abcd中，e是ab的中點(diǎn)，ed和ac相交于點(diǎn)f，過點(diǎn)f作fgab，交ad于點(diǎn)g（1）求證：ab=3fg；（2）若ab：ac=2：3，求證：df2=dgda顯示解析24已知，二次函數(shù)y=ax2+bx的圖象經(jīng)過點(diǎn)a（-5，0）和點(diǎn)b，其中點(diǎn)b在第一象限，且oa=ob，cotbao=2（1）求點(diǎn)b的坐標(biāo)；（2）求二次函數(shù)的解析式；（3）過點(diǎn)b作直線bc平行于x軸，直線bc與二次函數(shù)圖象的另

6、一個交點(diǎn)為c，聯(lián)結(jié)ac，如果點(diǎn)p在x軸上，且abc和pab相似，求點(diǎn)p的坐標(biāo)顯示解析25如圖1，rtabc中，acb=90，ac=4，bc=3，p是斜邊ab上的一個動點(diǎn)（點(diǎn)p與點(diǎn)a、b不重合），以點(diǎn)p為圓心，pa為半徑的p與射線ac的另一個交點(diǎn)為d，射線pd交射線bc于點(diǎn)e（1）如圖2，若點(diǎn)e在線段bc的延長線上，設(shè)ap=x，ce=y，求y關(guān)于x的函數(shù)關(guān)系式，并寫出x的取值范圍；當(dāng)以be為直徑的圓和p外切時，求ap的長；（2）設(shè)線段be的中點(diǎn)為q，射線pq與p相交于點(diǎn)i，若ci=ap，求ap的長qcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92

7、tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3p tgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtg

8、k tgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2 tgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chh

9、i92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawger4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagt

10、gkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3x

11、tkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2 tgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30k

12、a1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawger4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dk

13、aghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50

14、clmtwn60eo8wgqv7xav2tgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawger4i30

15、ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgs

16、hls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2eo8wgqv7xav2ohum32wgeauwydiawger4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkq

17、cwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkk

18、nbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkaggeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagt

19、gkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawger4i30ka1dkaghn3xt

20、kknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn6

21、0eo8wgqv7xav hhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8w

22、gqv7xav2ohum32wgeauwydiawger4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7