单选套题练习一(07~10)全国卷

绝密★启用前试卷类型：A 2007年普通高等学校招生全国统一考试（广东卷）数学（文科）本试卷共4页，21小题，满分150分．考试用时l20分钟．注意事项：1．答卷前，考生务必用黑色字迹的钢笔或签字笔将自己的姓名和考生号、试室号、座位号填写在答题卡上．用2B铅笔将试卷类型（A）填涂在答题卡相应位置上．将条形码横贴在答题卡右上角“条形码粘贴处”．2．选择题每小题选出答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂黑，如需改动，用橡皮擦干净后，再选涂其他答案，答案不能答在试卷上．3．非选择题必须用黑色宁迹钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用铅笔和涂改液．不按以上要求作答的答案无效．4．作答选做题时，请先用2B铅笔填涂选做题的题号（或题组号）对应的信息点，再作答．漏涂、错涂、多涂的，答案无效．5．考生必须保持答题卡的整洁．考试结束后，将试卷和答题卡一并交回．参考公式：锥体的体积公式13V Sh =，其中S 是锥体的底面积，h 是锥体的高．如果事件A 、B 互斥，那么()()()P A B P A P B +=+．用最小二乘法求线性同归方程系数公式1221ˆˆˆ,ni ii nii x y nx ybay bx xnx==-==--∑∑ 一、选择题：本大题共l0小题，每小题5分，满分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．已知集合M ＝{x|10x +>}，N ＝{x|101x>-}，则M ∩N ＝ A ．{x|－1≤x ＜1} B ．{x|x ＞1} C ．{x |－1＜x ＜1} D ．{x |x ≥－1} 2．若复数(1)(2)bi i ++是纯虚数（i 是虚数单位，b 是实数），则b =A ．－2B ．12-C ．12D ．23．若函数3()f x x =（x R ∈），则函数()y f x =-在其定义域上是 A ．单调递减的偶函数 B ．单调递减的奇函数 C ．单凋递增的偶函数 D ．单涮递增的奇函数4．若向量a 、b 满足|a |＝|b |＝1，a 与b 的夹角为60︒，则a a ＋=a bA ．12 B ．32C ．1 D ．25．客车从甲地以60km ／h 的速度匀速行驶1小时到达乙地，在乙地停留了半小时，然后以80km ／h 的速度匀速行驶l 小时到达丙地．下列描述客车从甲地出发，经过乙地，最后到达 丙地所经过的路程s 与时间t 之间关系的图象中，正确的是6．若,,l m n 是互不相同的空间直线，,αβ是不重合的平面，则下列命题中为真命题的是A ．若//,,l n αβαβ⊂⊂，则//l nB ．若,l αβα⊥⊂，则l β⊥C ． 若,l n m n ⊥⊥，则//l mD ．若,//l l αβ⊥，则αβ⊥7．图l 是某县参加2007年高考的 学生身高条形统计图，从左到右 的各条形表示的学生人数依次记 为1A 、2A 、…、m A （如2A 表示身高（单位：cm ）在[150， 155）内的学生人数）．图2是统计图l 中身高在一定范围内学生人 数的一个算法流程图．现要统计 身高在160～180cm （含 160cm ，不含180cm ）的学生人数，那么在流程图中的判断框内应填写的条件是A ．9i <B ．8i <C ．7i <D ．6i <8．在一个袋子中装有分别标注数字1，2，3，4，5的五个小球，这些小球除标注的数字外完全相同．现从中随机取出2个小球，则取出的小球标注的数字之和为3或6的概率是 A ．310 B ．15 C ．110 D ．1129．已知简谐运动()2sin()()32f x x ππϕϕ=+<的图象经过点（0，1），则该简谐运动的最小正周期T 和初相ϕ分别为 A ．6,6T πϕ==B ．6,3T πϕ==C ．6,6T ππϕ==D ．6,3T ππϕ==10．图3是某汽车维修公司的维修点环形分布图公司在年初分配给A 、 B 、C 、D 四个维修点某种配件各50件．在使用前发现需将A 、B 、C 、D 四个维修点的这批配件分别调整为40、45、54、61件，但调整只能在 相邻维修点之间进行．那么要完成上述调整，最少的调动件次（n 件 配件从一个维修点调整到相邻维修点的调动件次为n ）为A ．18B ．17C ．16D ．15二、填空题：本大题共5小题，每小题5分，满分20分．其中14～15题是选做题，考生只能选做一题，两题全答的，只计算前一题得分．11．在平面直角坐标系xoy 中，已知抛物线关于x 轴对称，顶点在原点O ，且过点P （2，4），则该抛物线的方程是 ．12．函数()ln (0)f x x x x =>的单调递增区间是 ．13．已知数列{n a }的前n 项和29n S n n =-，则其通项n a = ；若它的第k 项满足58k a <<，则k = ．14．（坐标系与参数方程选做题）在极坐标系中，直线l 的方程为sin 3ρθ=，则点(2,)6π到直线l 的距离为 ．15．（几何证明选讲选做题）如图4所示，圆O 的直径AB ＝6，C 为圆周 上一点，3BC =过C 作圆的切线l ，过A 作l 的垂线AD ，垂足为D ， 则∠DAC ＝ ．三、解答题：本大题共6小题，满分80分．解答须写出文字说明、证明过程和演算步骤．16．（本小题满分14分）已知ΔABC三个顶点的直角坐标分别为A （3，4）、B （0，0）、C （c ，0）．AB AC=，求c的值；（1）若0（2）若5c=，求sin∠A的值．17．（本小题满分12分）已知某几何体的俯视图是如图5所示的矩形，正视图（或称主视图）是一个底边长为8、高为4的等腰三角形，侧视图（或称左视图）是一个底边长为6、高为4的等腰三角形．（1）求该几何体的体积V；（2）求该几何体的侧面积S．18（本小题满分12分）下表提供了某厂节能降耗技术改造后生产甲产品过程中记录的产量x（吨）与相应的生产能耗y（吨标准煤）的几组对照数据x3456y 2.534 4.5（1）请画出上表数据的散点图；（2）请根据上表提供的数据，用最小二乘法求出y关于x的线性回归方程ˆˆ=+；y bx a（3）已知该厂技改前100吨甲产品的生产能耗为90吨标准煤．试根据（2）求出的线性同归方程，预测生产100吨甲产品的生产能耗比技改前降低多少吨标准煤? （参考数值：3 2.543546 4.566.5⨯+⨯+⨯+⨯=） 19（本小题满分14分）在平面直角坐标系xOy 中，已知圆心在第二象限、半径为2／2的圆C 与直线y x =相切于坐标原点O ．椭圆22219x y a +=与圆C 的一个交点到椭圆两焦点的距离之和为10．（1）求圆C 的方程；（2）试探究圆C 上是否存在异于原点的点Q ，使Q 到椭圆右焦点F 的距离等于线段OF 的长．若存在，请求出点Q 的坐标；若不存在，请说明理由． 20．（本小题满分14分）已知函数2()1f x x x =+-，α、β是方程()0f x =的两个根（αβ>），()f x '是()f x 的导数，设11a =，1()()n n n n f a a a f a +=-'，(1,2,)n =． （1）求α、β的值；（2）已知对任意的正整数n 有n a α>，记ln n n n a b a βα-=-，(1,2,)n =．求数列{n b }的前n 项和n S ．21．（本小题满分l4分）已知a 是实数，函数2()223f x ax x a =+--．如果函数()y f x =在区间[1,1]-上有零点， 求a 的取值范围．2007年普通高等学校全国招生统一考试 （广东卷）数学（文科）参考答案一、选择题二、填空题11．28y x = 12．1,e ⎡⎫+∞⎪⎢⎣⎭13． 2n －10；814．2 15．30三、解答题16．解：（1）()3,4AB =--，()3,4AC c =-- 由0AB AC =⇒()()()()33440c --+--=， 解得253c =．（2）当c ＝5时，2AC =，5cos 5AB AC A AB AC==， 进而sinA ＝552． 17． 解： （1）由题目知道该几何体是一个四棱锥其体积V ＝31SH ＝31⨯8⨯6⨯4＝64．（2）该几何体的四个侧面是两对全等的三角形其斜高分别为15h ==，2h == 故侧面面积S ＝5⨯8＋6⨯42＝40＋242．18．解：（1）如下图（2）y x ini i ∑=1＝3⨯2．5＋4⨯3＋5⨯4＋6⨯4．5＝66．5，x ＝46543+++＝4．5，y ＝2.534 4.54+++＝3．5，222221345686ni ix ==+++=∑，b ＝266.54 4.5 3.50.7864 4.5-⨯⨯=-⨯，a ＝3．5－0．7⨯4．5＝0．35．故线性回归方程为y ＝0．7x ＋0．35．（3）根据回归方程的预测，现在生产100吨产品消耗的标准煤的数量为0．7⨯100＋0．35＝70．35，故耗能减少了90－70．35＝19．65（吨）19． 解：（1）设圆心坐标为（m ，n ）（m <0，n >0），则该圆的方程为()()228x m y n -+-=．已知该圆与直线y ＝x 相切，那么圆心到该直线的距离等于圆的半径，则2n m -＝22．即n m -＝4， ① 又圆与直线切于原点，将点（0，0）代入，得m 2＋n 2＝8． ② 联立方程①和②组成方程组解得⎩⎨⎧=-=22n m ，故圆的方程为()()22228x y ++-=．（2）a ＝5，∴a 2＝25，则椭圆的方程为221259x y +=． 其焦距c ＝925-＝4，右焦点为（4，0），那么OF ＝4．要探求是否存在异于原点的点Q ，使得该点到右焦点F 的距离等于OF 的长度4，我们可以转化为探求以右焦点F 为顶点，半径为4的圆()2248x y -+=与（1）所求的圆的交点数．通过联立两圆的方程解得x ＝54，y ＝512． 即存在异于原点的点Q （54，512），使得该点到右焦点F 的距离等于OF 的长． 20．解：（1）解方程x 2＋x －1＝0得x ＝251±-， 由αβ>，知α=β=． （2）∵()21f x x '=+， ∴1()()n n n n f a a a f a +=-'2121n n a a +=+． ∵n a αβ>>（1,2,3,n =），且11a =， ∴b 1＝1ln -＝． ln n n n a b a βα-=-()()()()22222222121ln ln ln 2ln 2211n n n n n n n n n n n a a a a a b a a a a a βββββββααααααα---+---+-=====--+----+-， 即数列{b n }为首项为b 1，公比为2的等比数列．故数列{b n }前n 项和()()()1212212412n n n n b S +-==-⋅=--． 21．解：当a ＝0时，函数为()23f x x =-，其零点x ＝32不在区间[－1，1]上． 当a ≠0时，函数()f x 在区间[－1，1]分为两种情况：①方程()0f x =在区间[]1,1-上有重根．此时()4830a a ∆=++=，解得a =．当32a -=时，()0f x =的重根[]31,12x -=-． ②函数在区间[─1，1]上只有一个零点，但不是()0f x =的重根． 此时()()110f f -≤，即()()510a a --≤，解得15a ≤≤．③函数在区间[─1，1]上有两个零点，此时()()0,111,2110.a f f ⎧∆>⎪⎪-<-<⎨⎪⎪-≥⎩解得a <或5a ≥． 综上所述，如果函数在区间[─1，1]上有零点，那么实数a的取值范围为[)3,1,2⎛--∞+∞ ⎝⎦．。

2007年普通高等学校招生全国统一考试（海南、宁夏）文科数学本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分．第II 卷第22题为选考题，其他题为必考题．考生作答时，将答案答在答题卡上，在本试卷上答题无效．考试结束后，将本试卷和答题卡一并交回． 注意事项：1．答题前，考生先将自己的姓名、准考证号填写在答题卡上，认真核对条形码上的准考证号、姓名，并将条形码粘贴在指定位置上．2．选择题答案使用2Ｂ铅笔填涂，如需改动，用橡皮擦干净后，再选涂基他答案标号，非选择题答案使用0.5毫米的黑色中性（签字）笔或炭素笔书写，字体工整、笔迹清楚．3．请按照题号在各题的答题区域（黑色线框）内作答，超出答题区域书写的答案无效． 4．保持卡面清洁，不折叠，不破损．5．作选考题时，考生按照题目要求作答，并用2Ｂ铅笔在答题卡上把所选题目对应的标号涂黑． 参考公式：样本数据1x ，2x ， ，n x 的标准差锥体体积公式222121[()()()]m s x x x x x x n=-+-++-13V Sh =其中x 为标本平均数 其中S 为底面面积，h 为高 柱体体积公式 球的表面积、体积公式V Sh =24πS R =，34π3V R =其中S 为底面面积，h 为高其中R 为球的半径第Ⅰ卷一、选择题：本大题共12小题，每小题5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．设集合{}{}|1|22A x x B x x =>-=-<<，，则A B = （ ） Ａ．{}|2x x >-Ｂ．{}1x x >-|Ｃ．{}|21x x -<<-Ｄ．{}|12x x -<<2．已知命题:p x ∀∈R ，sin 1x ≤，则（ ） Ａ．:p x ⌝∃∈R ，sin 1x ≥ Ｂ．:p x ⌝∀∈R ，sin 1x ≥ Ｃ．:p x ⌝∃∈R ，sin 1x >Ｄ．:p x ⌝∀∈R ，sin 1x >3．函数πsin 23y x ⎛⎫=- ⎪⎝⎭在区间ππ2⎡⎤-⎢⎥⎣⎦，的简图是（ ）4．已知平面向量(11)(11)==-，，，a b ，则向量1322-=a b （ ）Ａ．(21)--， Ｂ．(21)-，Ｃ．(10)-，Ｄ．(12)，y x11-2π-3π-O 6ππyx11-2π-3π-O6ππyx11-2π-3π O 6π-πyx π2π-6π-1O 1-3πＡ．Ｂ．Ｃ．Ｄ．开始1k =0S =50?k ≤是2S S k=+1k k =+否输出S结束5．如果执行右面的程序框图，那么输出的S =（ ） Ａ．2450 Ｂ．2500 Ｃ．2550 Ｄ．26526．已知a b c d ，，，成等比数列，且曲线223y x x =-+的顶点是()b c ，，则a d 等于（ ） Ａ．3Ｂ．2Ｃ．1Ｄ．2-7．已知抛物线22(0)y px p =>的焦点为F ，点111222()()P x y P x y ，，，，333()P x y ，在抛物线上，且2132x x x =+，则有（ ） Ａ．123FP FP FP +=Ｂ．222123FP FP FP +=Ｃ．2132FP FP FP =+Ｄ．2213FP FP FP =·8．已知某个几何体的三视图如下，根据图中标出的尺寸（单位：cm ），可得这个几何体的体积是（ ） Ａ．34000cm 3Ｂ．38000cm 3Ｃ．32000cmＤ．34000cm9．若cos 22π2sin 4αα=-⎛⎫- ⎪⎝⎭，则cos sin αα+的值为（ ）Ａ．72-Ｂ．12-Ｃ．12Ｄ．7210．曲线x y e =在点2(2)e ，处的切线与坐标轴所围三角形的面积为（ ）Ａ．294eＢ．22eＣ．2eＤ．22e11．已知三棱锥S A B C -的各顶点都在一个半径为r 的球面上，球心O 在A B 上，SO ⊥底面ABC ，2AC r =，则球的体积与三棱锥体积之比是（ ）Ａ．π Ｂ．2π Ｃ．3π Ｄ．4π12．甲、乙、丙三名射箭运动员在某次测试中各射箭20次，三人的测试成绩如下表123s s s ，，分别表示甲、乙、丙三名运动员这次测试成绩的标准差，则有（ ）甲的成绩 环数 7 8 9 10 频数 5 5 5 5乙的成绩 环数 7 8 9 10 频数 6 4 4 6丙的成绩 环数 7 8 9 10 频数 4 6 6 42020正视图 20侧视图10 1020俯视图Ａ．312s s s >> Ｂ．213s s s >> Ｃ．123s s s >>Ｄ．213s s s >>第Ⅱ卷本卷包括必考题和选考题两部分．第13题～第21题为必考题，每个试题考生都必须做答．第22题为选考题，考生根据要求做答．二、填空题：本大题共4小题，每小题5分．13．已知双曲线的顶点到渐近线的距离为2，焦点到渐近线的距离为6，则该双曲线的离心率为 ．14．设函数()(1)()f x x x a =++为偶函数，则a = ．15．i 是虚数单位，238i 2i 3i 8i ++++= ．（用i a b +的形式表示，a b ∈R ，） 16．已知{}n a 是等差数列，466a a +=，其前5项和510S =，则其公差d = ． 三、解答题：解答应写出文字说明，证明过程或演算步骤．17．（本小题满分12分）如图，测量河对岸的塔高A B 时，可以选与塔底B 在同一水平面内的两个侧点C 与D ．现测得BCD BDC CD s αβ∠=∠==，，，并在点C 测得塔顶A 的仰角为θ，求塔高A B ．18．（本小题满分12分） 如图，A B CD，，，为空间四点．在A B C △中，22AB AC BC ===，．等边三角形AD B 以A B 为轴运动．（Ⅰ）当平面AD B ⊥平面ABC 时，求C D ；（Ⅱ）当A D B △转动时，是否总有AB C D ⊥？证明你的结论．19．（本小题满分12分） 设函数2()ln(23)f x x x =++ （Ⅰ）讨论()f x 的单调性；（Ⅱ）求()f x 在区间3144⎡⎤-⎢⎥⎣⎦，的最大值和最小值．20．（本小题满分12分）设有关于x 的一元二次方程2220x ax b ++=．（Ⅰ）若a 是从0123，，，四个数中任取的一个数，b 是从012，，三个数中任取的一个数，求上述方程有实根的概率．（Ⅱ）若a 是从区间[03]，任取的一个数，b 是从区间[02]，任取的一个数，求上述方程有实根的概率．21．（本小题满分12分）在平面直角坐标系xOy 中，已知圆2212320x y x +-+=的圆心为Q ，过点(02)P ，且斜率为k 的直线与圆Q 相交于不同的两点A B ，． （Ⅰ）求k 的取值范围；（Ⅱ）是否存在常数k ，使得向量OA OB + 与P Q共线？如果存在，求k 值；如果不存在，请说明理由．22．请考生在Ａ、Ｂ两题中选一题作答，如果多做，则按DBACAPOMCB所做的第一题记分．作答时，用2B 铅笔在答题卡上把所选题目对应的标号涂黑． 22．Ａ（本小题满分10分）选修4－1：几何证明选讲如图，已知A P 是O 的切线，P 为切点，A C 是O 的割线，与O 交于B C ，两点，圆心O 在P A C ∠的内部，点M 是B C 的中点．（Ⅰ）证明A P O M ，，，四点共圆； （Ⅱ）求O A M A P M ∠+∠的大小．22．Ｂ（本小题满分10分）选修4－4：坐标系与参数方程1O 和2O 的极坐标方程分别为4cos 4sin ρθρθ==-，．（Ⅰ）把1O 和2O 的极坐标方程化为直角坐标方程； （Ⅱ）求经过1O ，2O 交点的直线的直角坐标方程．2007年普通高等学校招生全国统一考试文科数学试题参考答案一、选择题 1．Ａ 2．Ｃ 3．Ａ 4．Ｄ 5．Ｃ 6．Ｂ7．Ｃ8．Ｂ9．Ｃ10．Ｄ11．Ｄ 12．Ｂ二、填空题 13．3 14．115．44i -16．12三、解答题17．解：在BC D △中，πCBD αβ∠=--． 由正弦定理得sin sin BC C D BD CC BD=∠∠．所以sin sin sin sin()CD BDC s BC CBDβαβ∠==∠+·．在A B C R t △中，tan sin tan sin()s AB BC ACB θβαβ=∠=+·．18．解：（Ⅰ）取A B 的中点E ，连结DE CE ，，因为AD B 是等边三角形，所以D E AB ⊥． 当平面AD B ⊥平面ABC 时，因为平面ADB 平面ABC A B =， 所以D E ⊥平面ABC ， 可知D E C E ⊥ 由已知可得31D E EC ==，，在D E C R t △中，222CD DE EC=+=．（Ⅱ）当AD B △以A B 为轴转动时，总有AB C D ⊥． 证明：（ⅰ）当D 在平面ABC 内时，因为AC BC AD BD ==，，所以C D ，都在线段A B 的垂直平分线上，即AB C D ⊥．（ⅱ）当D 不在平面ABC 内时，由（Ⅰ）知AB D E ⊥．又因A C B C =，所以A B C E ⊥． 又DE CE ，为相交直线，所以AB ⊥平面C D E ，由C D ⊂平面C D E ，得AB C D ⊥． 综上所述，总有AB C D ⊥．19．解：()f x 的定义域为32⎛⎫-+ ⎪⎝⎭，∞．（Ⅰ）224622(21)(1)()2232323x x x x f x x x x x ++++'=+==+++．EDBCA当312x-<<-时，()0f x'>；当112x-<<-时，()0f x'<；当12x>-时，()0f x'>．从而，()f x分别在区间312⎛⎫--⎪⎝⎭，，12⎛⎫-+⎪⎝⎭，∞单调增加，在区间112⎛⎫--⎪⎝⎭，单调减少．（Ⅱ）由（Ⅰ）知()f x在区间3144⎡⎤-⎢⎥⎣⎦，的最小值为11ln224f⎛⎫-=+⎪⎝⎭．又31397131149ln ln ln1ln 442162167226f f⎛⎫⎛⎫⎛⎫--=+--=+=-⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭<．所以()f x在区间3144⎡⎤-⎢⎥⎣⎦，的最大值为117ln4162f⎛⎫=+⎪⎝⎭．20．解：设事件A为“方程2220a ax b++=有实根”．当0a>，0b>时，方程2220x ax b++=有实根的充要条件为a b≥．（Ⅰ）基本事件共12个：(00)(01)(02)(10)(11)(12)(20)(21)(22)(30)(31)(32)，，，，，，，，，，，，，，，，，，，，，，，．其中第一个数表示a的取值，第二个数表示b的取值．事件A中包含9个基本事件，事件A发生的概率为93 ()124P A==．（Ⅱ）试验的全部结束所构成的区域为{}()|0302a b a b，，≤≤≤≤．构成事件A的区域为{}()|0302a b a b a b，，，≤≤≤≤≥．所以所求的概率为2132222323⨯-⨯==⨯．21．解：（Ⅰ）圆的方程可写成22(6)4x y-+=，所以圆心为(60)Q，，过(02)P，且斜率为k的直线方程为2y kx=+．代入圆方程得22(2)12320x kx x++-+=，整理得22(1)4(3)360k x k x++-+=．①直线与圆交于两个不同的点A B，等价于2222[4(3)]436(1)4(86)0k k k k∆=--⨯+=-->，解得34k-<<，即k的取值范围为34⎛⎫-⎪⎝⎭，．（Ⅱ）设1122()()A x yB x y，，，，则1212()OA OB x x y y+=++，，由方程①，1224(3)1kx xk-+=-+②又1212()4y y k x x+=++．③而(02)(60)(62)P Q PQ=-，，，，，．所以OA OB+与P Q共线等价于1212()6()x x y y+=+，将②③代入上式，解得34k=-．由（Ⅰ）知34k⎛⎫∈ ⎪⎝⎭，，故没有符合题意的常数k．22．Ａ（Ⅰ）证明：连结OP OM，．因为A P与O相切于点P，所以O P A P⊥．因为M是O的弦B C的中点，所以O M B C⊥．于是180O PA O M A∠+∠=°．由圆心O在P A C∠的内部，可知四边形APO M的对角互补，所以A P O M，，，四点共圆．APOMCB（Ⅱ）解：由（Ⅰ）得A P O M ，，，四点共圆，所以O A M O P M ∠=∠． 由（Ⅰ）得O P A P ⊥．由圆心O 在P A C ∠的内部，可知90O PM APM ∠+∠=°． 所以90O AM APM ∠+∠=°． 22．Ｂ解：以有点为原点，极轴为x 轴正半轴，建立平面直角坐标系，两坐标系中取相同的长度单位． （Ⅰ）cos x ρθ=，sin y ρθ=，由4cos ρθ=得24cos ρρθ=． 所以224x y x +=．即2240x y x +-=为1O 的直角坐标方程． 同理2240x y y ++=为2O 的直角坐标方程．（Ⅱ）由22224040x y x x y y ⎧+-=⎪⎨++=⎪⎩解得1100x y =⎧⎨=⎩，，2222x y =⎧⎨=-⎩． 即1O ，2O 交于点(00)，和(22)-，．过交点的直线的直角坐标方程为y x =-．。

2007年全国20套高考卷单项选择语法分类汇编注：蓝色部分为答案名词、数词1. My morning ______ includes jogging in the park and reading newspapers over breakfast. [2007 上海卷]A. drillB. actionC. regulationD. routine2. I can’t say which wine is beat—it’s a (n) __________ of personal taste. [2007 山东卷]A．affair B．event C．matter D．variety3. The practice of hanging clothes across the street is a common ______in many parts of the city. [2007 安徽卷]A. lookB. signC. sightD. appearance4. —You are always full of . Can you tell me the secret? [2007 福建卷]—Taking plenty of exercise every day.A.powerB.strengthC.forceD.energy5. Despite such a big difference in towards what one eats, there is no doubt that people in thewestregard the Chinese food as something special. [2007 湖北卷]A.pointB.ideaC.attitudeD.sight6. AIDS control and prevention is a to China as well as the whole world．[2007 上海春]A．surprise B．challenge C．reaction D．threat7. He and his wife are of the same ;they both want their son to go to college. [2007 陕西卷]A.soulB.spiritC.heartD.mind8. One thousand dollars a month is not a fortune but would help cover my living ________.[2007 天津卷]A. billsB. expensesC. pricesD. charges9. Of the seven days in the a week, Saturday is said to be the most popular ____ for a wedding in some countries. [2007 浙江卷]A. wayB. situationC. eventD. choice10. Health problems are closely connected with bad eating habits and a _____ of exercise. [2007 辽宁卷]A. limitB. lackC. needD. demand11. It is reported that the floods have left about _________ people homeless. [2007 浙江卷]A. two thousandB. two-thousandsC. two thousandsD. two thousands of。

2007年全国21套高考试卷单项选择语法分类汇编（一）本文将2007年全国高考试卷（2套）及各省市自主命题试卷（19套，包括上海春季高考卷）中的单项选择题（共280道）按照语法考点分为十六个专题进行汇编，便于师生训练、分析、归纳和总结。

（注：广东卷没有单项选择题；宁夏卷及海南卷的单项选择题与全国卷Ⅰ相同）2007年全国21套高考卷单项选择语法分类汇编一．动词时态和语态1. The flowers were so lovely that they __________ in no time. [2007 全国卷I]A. soldB. had been soldC. were soldD. would sell2. I know a little bit about Italy as my wife and I ________ there several years ago. [2007 全国卷I]A. are goingB. had beenC. wentD. have been3. —Is there anything wrong, Bob? You look sad.—Oh, nothing much. In fact, I ____ of my friends back home. [2007 全国卷II]A. have just thoughtB. was just thinkingC. would just thinkD. will just be thinking4. —Tom, you didn’t come to the party last night?—I ____, but I suddenly remembered I had homework to do. [2007 全国卷II]A. had toB. didn’tC. was going toD. wouldn’t5. —Did you tidy your room? [2007 上海卷]— No, I was going to tidy my room but I ______ visitors.A. hadB. haveC. have hadD. will have6. With the help of high technology, more and more new substances ______ in the past years.[2007 上海卷]A. discoveredB. have discoveredC. had been discoveredD. have been discovered7. They_____ two free tickets to Canada, otherwise they’d never have been able to afford to go. [2007 山东卷]A．had got B．got C．have got D．get8. —Did Peter fix the computer himself?—He ________, because he doesn't know much about computers. [2007 安徽卷]A. has it fixedB. had fixed itC. had it fixedD. fixed it9. They became friends again that day. Until then, they _____ to each other for nearly two years. [2007 安徽卷]A. didn't speakB. hadn't spokenC. haven' t spokenD. haven' t been speaking10. —How can I apply for an online course?—Just fill out this form and we _____ what we can do four you. [2007 北京卷]A. seeB. are seeingC. have seenD. will see11. I got caught in the rain and my suit____.[2007 北京卷]A. has ruinedB. had ruinedC. has been ruinedD. had been ruined12. —It was really very kind of you to give me a lift home.—Oh, don’t mention it. I _____past your house anyway. [2007 北京卷]A. was comingB. will comeC. had comeD. have come13. —I saw Jane and her boyfriend in the park at eight yesterday evening.[2007 福建卷] —Impossible. She TV with me in my home then.A. watchedB. had watchedC. would watchD. was watching14. Danny hard for long to realize his dream and now he is popular. [2007 福建卷]A. worksB. is workingC. has workedD. worked15. As the years passed, many occasions—birthdays, awards, graduations—________ with Dad’s flowers.[2007 湖南卷]A. are markedB. were markedC. have markedD. had marked16. Cathy is taking notes of the grammatical rules in class at Sunshine School, where she _____English for a year. [2007 湖南卷]A. studiesB. studiedC. is studyingD. has been studying17. At the end of the meeting, it was announced that an agreement ______.[2007 江苏卷]A. has been reachedB. had been reachedC. has reachedD. had reached18. —______ you ______ him around the museum yet? [2007 江苏卷]—Yes. We had a great time there.A. Have … shownB. Do … showC. Had … shownD. Did … show19. —Ouch! You hurt me!—I am sorry. But I any harm. I to drive a rat out. [2007 江西卷]A. didn’t mean; triedB.don’t mean; am tryingC. haven’t meant; triedD. didn’t mean; w as trying20. —I have got a headache.—No wonder. You in front of that computer too long. [2007 江西卷]A. workB. are workingC. have been workingD. worked21. I there little more than a week when I set to work with the scientist. [2007 陕西卷]A. would beB. have beenC. had beenD. will be22. The unemployment rate in this district from 6% to 5% in the past two years. [2007 上海春]A．has fallen B．had fallen C．is falling D．was falling23. John had to have his car repaired in a garage because it seriously. [2007 上海春]A．damaged B．was being damaged C．had damaged D．had been damaged24. When you get the paper back, pay special attention to what ________ . [2007 四川卷]A．have marked B. have been marked C．had marked D．had been marked25. —Did you see a man in black pass by just now?—No, sir. I ________ a newspaper. [2007 四川卷]A. readB. was readingC. would readD. am reading26. If Newton lived today, he would be surprise by what ____ in science and technology. [2007 天津卷]A. had discoveredB. had been discoveredC. has discoveredD. has been discovered27. —Jack bought a new mobile phone the other day.[2007 浙江卷]—________? That’s his third one in just one month.A. Had heB. Did heC. Does heD. Has he28. Professor James will give us a lecture on the Western culture, but when and where ____ yet. [2007 浙江卷]A. hasn’t been decidedB. haven’t decidedC. isn’t being decidedD. aren’t decided29. The play had already been on for quite some time when we ____ at the New Theatre. [2007 浙江卷]A. have arrivedB. arrivedC. had arrivedD. arrive30. —Did Alan enjoy seeing his old friends yesterday?—Yes, he did. He ________ his old friends for a long time. [2007 重庆卷]A. didn’t seeB. wouldn’t seeC. hasn’t seenD. hadn’t seen31. Leonardo da Vinci (1452—1519) _______birds kept in cages in order to have the pleasure of setting them free. [2007 重庆卷]A. is said to be buyingB. is said to have boughtC. . had said to buyD. has said to have bought32. —Do you have any idea what Paul does all day?—As I know, he spends at least as much time playing as he _______. [2007 重庆卷]A. writesB. does writingC. is writingD. does write33. —When I called you this morning, nobody answered the phone. Where______. [2007 重庆卷]A. did you goB. have you goneC. were youD. had you been34. —Have you handed in your schoolwork yet?—Yes, I have. I guess it ______ now. [2007 辽宁卷]A. has gradedB. is gradedC. is being gradedD. is grading35. —Has your father returned from Africa yet?—Yes, but he _____ here for only three days before his company sent him to Australia. [2007 辽宁卷]A. wasB. has beenC. will beD. would be【Key】1—10 CCBCA DBCBD 11—20 CADCB DBADC 21—30 CADBB DBABD 31—35 BBCCA2007年全国21套高考卷单项选择语法分类汇编二．非谓语动词1. —It’s a long time since I saw my sister.—_______________ her this weekend? [2007 全国卷I]A. Why not visitB. why not to visitC. Why not visitingD. Whydon’t visit2. —The last one __________________ pays the meal.—Agreed! [2007 全国卷I]A. arrivedB. arrivesC. to arriveD. arriving3. I smell something __________ in the kitchen. Can I call you back in a minute? [2007 全国卷I]A. burningB. burntC. being burntD. to beburnt4. At the beginning of class, the noise of desks ____ could be heard outside the classroom. [2007 全国卷II]A. opened and closedB. to be opened and closedC. being opened and closedD. to open and close5. After a knock at the door, the child heard his mother’s voice ______ him. [2007 上海卷]A. callingB. calledC. being calledD. to call6. There is nothing more I can try ______ you to stay, so I wish you good luck. [2007 上海卷]A. being persuadedB. persuadingC. to be persuadedD. to persuade7. The Town Hall ______ in the 1800’s was the most distinguished building at that time. [2007 上海卷]A. to be completedB. having been completedC. completedD. being completed8. The country has already sent up three unmanned spacecraft, the most recent ________at the end of last March. [2007 山东卷]A．has been launched B．having been launched C．being launched D．to be launched9. Please remain _________ until the plane has come to a complete stop. [2007 山东卷]A．to seal B．to be seated C．seating D．seated 10. John received an invitation to dinner, and with his work ________, he gladly accepted it. [2007 安徽卷]A. finishedB. finishingC. having finishedD. was finished11. —Robert is indeed a wise man.—Oh, yes. How often I have regretted ______ his advice! [2007 安徽卷]A. to takeB. takingC. not to takeD. not taking12. —Excuse me sir, where is Room 301?—Just a minute. I’ll have Bob ____you to your room. [2007 北京卷]A. showB. showsC. to showD. showing13. He is a student at Oxford University, __________ for a degree in computer science. [2007 北京卷]A. studiedB. studyingC. to have studiedD. to be studying14. Jenny hopes that Mr. Smith will suggest a good way to have her written English ina short period. [2007 福建卷]A. improvedB. improvingC. to improveD. improve15. —Come on, please give me some ideas about the project.—Sorry. With so much work my mind, I almost break down. [2007 福建卷]A. filledB. fillingC. to fillD. being filled16. As the light turned green, I stood for a moment, not _________, and asked myself what I wasgoing to do. [2007 湖南卷]A. moved B moving C. to move D. being moved17. “Things _________ never come again!” I couldn’t help talking to myself. [2007 湖南卷]A. lostB. losingC. to loseD. have lost18. —Can I smoke here?—Sorry. We don’t allow ______ here. [2007 江苏卷]A. people smokingB. people smokeC. to smokeD. smoking19. My parents have always made me ______ about myself, even when I was twelve. [2007 江苏卷]A. feeling wellB. feeling goodC. feel wellD. feel good20. He is very popular among his students as he always tries to make them ______ in his lectures.[2007 江苏卷]A. interestedB. interestingC. interestD. to interest21. When asked why he went there, he said he was sent there for a space flight. [2007 江西卷]A. trainingB. being trainedC. to have trainedD. to be trained22. that she didn’t do a good job, I don’t think I am abler than her. [2007 陕西卷]A. To have saidB. Having saidC. To sayD. Saying23. All the staff {n our company are considering to the city centre for the fashion show. [2007 上海春]A．to go B．going C．to have gone D．having gone24. the safety of gas, the government has checked the city’s gas supply system thoroughly. [2007 上海春]A．To ensure B．Ensuring C．Having ensured. D．To have ensured25. She wants her paintings in the gallery, but we don t think they would be very popular. [2007 上海春]A．display B．to display C．displaying D．displayed26. Peter received a letter just now ________ his grandma would come to see him soon. [2007 四川卷]A．said B．says C．saying D．to say27. The flowers his friend gave him will die unless ________ every day. [2007 四川卷]A. wateredB. wateringC. waterD. to water28. The glass doors have taken the place of the wooden ones at the entrance, ________ in thenatural light during the day. [2007 天津卷]A. to letB. lettingC. letD. having let29. The children talked so loudly at dinner table that I had to struggle ______.[2007 浙江卷]A. to be heardB. to have heardC. hearingD. being heard30. ______ by a greater demand of vegetables, farmers have built more green houses. [2007 浙江卷]A. DrivenB. Being drivenC. To driveD. Having driven31. The children went home from the grammar school, their lessons _______ for the day. [2007 重庆卷]A. finishingB. finishedC. had finishedD. were finished32. The crowd cheered wildly at the sight of Liu Xiang, who was reported ______ the worldrecord in the 110-meter hurdle race. [2007 辽宁卷]A. breakingB. having brokenC. to have brokenD. break33. You can't imagine what difficulty we had ______ home in the snowstorm. [2007 辽宁卷]A. walkedB. walkC. to walkD. walking【Key】1—10 ACACA DCBDA 11—20 DABAB BADDA 21—30 DBBAD CABAA 31—33 BCD。