2011《走向高考》英语全程总复习一轮课时训练+阶段性测试大全 (65)

阶段性测试题九(立体几何、空间向量(理))本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。

满分150分。

考试时间120分钟。

第Ⅰ卷(选择题 共60分)一、选择题(本大题共12个小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项是符号题目要求的。

)1．已知一个几何体是上下两部分构成的组合体，其三视图如图所示，若图中圆的半径为1，等腰三角形的腰长为5，则该几何体的体积是 ( )A.4π3 B ．2π C.8π3 D.10π3 [答案] A[解析] 这个几何体是一个底面半径为1，高为2的圆锥和一个半径为1的半球组成的组合体，故其体积为13π×12×2＋12×43π×13＝4π3.2．在棱长为a 的正方体ABCD —A 1B 1C 1D 1中，平面A 1BD 截该正方体的内切球所得截面的面积为 ( )A.πa 23B.πa 29C.πa 22D.πa 26 [答案] D[解析] 如图，S △A 1BD ＝32a 2，S △OBD ＝14S BDD 1B 1＝24a 2，设球心O 到平面A 1BD 的距离为d ，则VO —A 1BD ＝VA 1—OBD ，即13S △A 1BD ·d ＝13S △OBD ·22a ，解得d ＝36a . ∴截面圆的半径r ＝⎝⎛⎭⎫a 22－⎝⎛⎭⎫36a 2＝16a . ∴S 截＝πr 2＝π6a 2.3．圆台上、下底面面积分别是π、4π，侧面积是6π，这个圆台的体积是 ( ) A.233π B ．23πC.736πD.733π [答案] D[解析] 上底半径r ＝1，下底半径R ＝2，S 侧＝6π， 设母线长为l ，则π(1＋2)·l ＝6π，∴l ＝2. ∴高h ＝l 2－(R －r )2＝ 3.∴V ＝13π·3(12＋1×2＋22)＝73π3.4．已知直线m 、n 和平面α，那么m ∥n 的一个必要而不充分条件是 ( ) A ．m ∥α，n ∥α B ．m ⊥α，n ⊥α C ．n ⊂α且m ∥α D ．m 、n 与α成等角 [答案] D[解析] 由题意知：m ∥n 能推出四个选项的某个结论，而这个结论作为条件又不能推出m ∥n .在选项D 中，因为m ∥n ，则有m 、n 与α成等角；而m 、n 与α成等角，可以是不同方向上成等角，故不能推出m ∥n .5．如图所示，b 、c 在平面α内，a ∩c ＝B ，b ∩c ＝A ，且a ⊥b ，a ⊥c ，b ⊥c ，若C ∈a ，D ∈b ，E 在线段AB 上(C ，D ，E 均异于A ，B )则△CDE 是 ( )A ．锐角三角形B ．直角三角形C ．钝角三角形D ．等腰三角形 [答案] C[解析] 由条件知，∠DAE 、∠CBE 、∠CBD 均为直角，∴DE 2＋CE 2－CD 2＝(DA 2＋AE 2)＋(CB 2＋BE 2)－(CB 2＋BD 2)＝DA 2＋AE 2＋BE 2－DA 2－AB 2＝AE 2＋BE 2－AB 2<0，∴∠CED 为钝角．6．若A 、B 、C 、D 是空间不共面的四点，且满足AB →·AC →＝0，AC →·AD →＝0，AB →·AD →＝0，则△BCD 是 ( )A ．钝角三角形B ．锐角三角形C ．直角三角形D ．不确定 [答案] B[解析] ∵BC →·BD →＝(AC →－AB →)·(AD →－AB →)＝AC →·AD →－AB →·AD →－AC →·AB →＋AB 2→＝|AB →|2>0，同理CB →·CD →>0，DB →·DC →>0，故△BCD 为锐角三角形．因此选B.7．在四面体O －ABC 中，点M 在OA 上，且OM ＝2MA ，N 为BC 的中点，若OG →＝13OA→＋x 4OB →＋x 4OC →，则使G 与M 、N 共线的x 的值为 ( ) A ．1 B ．2 C.23 D.43[答案] A[解析] 若G 、M 、N 共线，则存在实数λ使MG →＝λMN →， 即OG →－OM →＝λ(ON →－OM →)， ∴OG →＝(1－λ)OM →＋λON →＝(1－λ)·23OA →＋λ·12(OB →＋OC →)＝2(1－λ)3OA →＋λ2OB →＋λ2OC →，∴⎩⎨⎧2(1－λ)3＝13x 4＝λ2，∴x ＝1.8．(08·辽宁)在正方体ABCD －A 1B 1C 1D 1中，E 、F 分别为棱AA 1、CC 1的中点，则在空间中与三条直线A 1D 1、EF 、CD 都相交的直线 ( )A ．不存在B ．有且只有两条C ．有且只有三条D ．有无数条 [答案] D[解析] 显然在正方体中，A 1E ∥CF ， ∴A 1C 与EF 必相交，∴A 1C 是与A 1D 1、EF 、BC 都相交的一条直线．在A 1D 1上任取一点P ，CD 与DP 确定一个平面与正方体相交得▱PQCD ，Q 在B 1C 1上，EF 与此平面交点为R ，连结PR 与CD 必相交，设交点为H ，则直线PRH ，即与A 1D 1、EF 、CD 都相交的直线，由作法知，这样的直线有无数多条．[点评] 一般地，异面问题讨论时，总有设法化异为共，如果讨论多条异面直线问题，总是通过平行直线或相交直线或一线一点(点在另一异面直线上)定面，再加讨论．9．如图，正方形ABCD 与矩形ACEF 所在平面互相垂直，AB ＝2，AF ＝1.M 在EF 上．且AM ∥平面BDE .则M 点的坐标为 ()A ．(1,1,1) B.⎝⎛⎭⎫23，23，1 C.⎝⎛⎭⎫22，22，1 D.⎝⎛⎭⎫24，24，1[答案] C[解析] ∵M 在EF 上，设ME ＝x ，∴M ⎝⎛⎭⎫22x ，22x ，1，∵A (2，2，0)，D (2，0,0)，E (0,0,1)，B (0，2，0) ∴ED →＝(2，0，－1)，EB →＝(0，2，－1)，AM →＝⎝⎛⎭⎫22x －2，22x －2，1设平面BDE 的法向量n ＝(a ，b ，c )由⎩⎪⎨⎪⎧n ·ED →＝0n ·EB →＝0得，a ＝b ＝22c .故可取一个法向量n ＝(1,1，2) ∵n ·AM →＝0，∴x ＝1，∴M ⎝⎛⎭⎫22，22，1，故选C.10．如图所示，在三棱柱ABC －A 1B 1C 1中，AA 1⊥底面ABC ，AB ＝BC ＝AA 1，∠ABC ＝90°，点E 、F 分别是棱AB 、BB 1的中点，则直线EF 和BC 1所成的角是 ( )A ．45°B ．60°C ．90°D ．120° [答案] B[解析] 设B 1C 交BC 1于点G ，取AC 的中点H ，则GH ∥AB 1∥EF .设AB ＝BC ＝AA 1＝a ，在三角形GHC 中，易知GH ＝HC ＝GC ＝22a ，又GB ＝HG ＝22a ，故两直线所成的角即为∠HGB ＝60°.11．设x 、y 、z 是空间不同的直线或平面，对下列四种情况：①x 、y 、z 均为直线；②x 、y 是直线，z 是平面；③z 是直线，x 、y 是平面；④x 、y 、z 均为平面．其中使“x ⊥z 且y ⊥z ⇒x ∥y ”为真命题的是 ( ) A ．③④ B ．①③ C ．②③ D ．①② [答案] C[解析] 由于垂直于同一个平面的两条直线平行，故②可以使“x ⊥z 且y ⊥z ⇒x ∥y ”为真命题；又由于垂直于同一直线的两个平面平行，故③可以使“x ⊥z 且y ⊥z ⇒x ∥y ”为真命题；在如图所示正方体中，取x 为直线A 1B 1，y 为直线BC ，z 为直线BB 1，显然命题不真；又取x 、y 分别为平面ABB 1A 1和BCC 1B 1，z 为平面ABCD ，命题也不真，故选C.12．如图所示，在四边形ABCD 中，AD ∥BC ，AD ＝AB ，∠BCD ＝45°，∠BAD ＝90°，将△ABD 沿BD 折起，使平面ABD ⊥平面BCD ，构成三棱锥A －BCD ，则在三棱锥A －BCD 中，下列命题正确的是 ( )A ．平面ABD ⊥平面ABCB ．平面ADC ⊥平面BDC C ．平面ABC ⊥平面BDCD ．平面ADC ⊥平面ABC [答案] D[解析] 在平面图形中CD ⊥BD ，折起后仍然有CD ⊥BD ，由于平面ABD ⊥平面BCD ，故CD ⊥平面ABD ，CD ⊥AB .又AB ⊥AD ，故AB ⊥平面ABC .所以平面ADC ⊥平面ABC .第Ⅱ卷(非选择题 共90分)二、填空题(本大题共4个小题，每小题4分，共16分，把正确答案填在题中横线上) 13．正三棱锥P —ABC 的高为2，侧棱与底面ABC 成45°角，则点A 到侧面PBC 的距离为________．[答案] 655[解析] 设P 在底面射影为O ，AO 交BC 于D ， 由题意：∠P AO ＝45°，∴AO ＝PO ＝2， ∴AD ＝3，OD ＝1，∴PD ＝5，作AM ⊥PD 于M ，则AM ⊥平面PBC ，由PD ·AM ＝AD ·PO 得，AM ＝655.14．如图，ABCD －A 1B 1C 1D 1为正方体，下面结论中正确的是________．(把你认为正确的结论都填上)①BD ∥平面CB 1D 1； ②AC 1⊥平面CB 1D 1；③AC 1与底面ABCD 所成角的正切值是2； ④二面角C —B 1D 1－C 1的正切值是2， ⑤过点A 1与异面直线AD 与CB 1成70°角的直线有2条． [答案] ①②④[解析] ①∵BD ∥B 1D 1，B 1D 1⊂平面CB 1D 1， ∴BD ∥平面CB 1D 1.②连结A 1C 1交B 1D 1于O ，∵AA 1⊥平面A 1B 1C 1D 1，∴AA 1⊥B 1D 1.又∵A 1C 1⊥B 1D 1，∴B 1D 1⊥平面AA 1C 1.∴B 1D 1⊥AC 1. 同理B 1C ⊥AC 1.∴AC 1⊥平面CB 1D 1.③∠C 1AC 为AC 1与平面ABCD 所成的角，tan ∠C 1AC ＝CC 1AC ＝CC 12CC 1＝22.④∠C 1OC 为二面角C —B 1D 1—C 1的平面角，tan ∠C 1OC ＝CC 1C 1O ＝CC 122CC 1＝ 2.⑤异面直线AD 与CB 1所成的角为45°，则满足题意的直线有4条．15．如图所示是正方体的平面展开图，在这个正方体中：①BM 与ED 平行；②CN 与BE 是异面直线；③CN 与BM 成60°角；④DM 与BN 垂直．以上四个说法中，正确说法的序号依次是________．[答案] ③④[解析] 如图所示，显然BM 与ED 不平行；∵BC 綊AD 綊EN ，∴四边形BCNE 是平行四边形，∴BE ∥CN ，故②错；△BME 为正三角形，∴∠EBM ＝60°.，∵CN ∥BE ，∴∠EBM 为BM 与CN 所成的角，故③正确；∵BC ⊥平面CDNM ，∴BC ⊥DM ， 又DM ⊥CN ，CN ∩BC ＝C ，∴DM ⊥平面BCN ，∴DM ⊥BN ，故④正确． 16．(08·全国Ⅰ)已知菱形ABCD 中，AB ＝2，∠A ＝120°，沿对角线BD 将△ABD 折起，使二面角A －BD －C 为120°，则点A 到△BCD 所在平面的距离等于________．[答案] 32[解析] 设AC 与BD 相交于点O ，折起后如图．易知OA ＝OC ＝1，OB ＝32，设OA →＝a ，OB →＝b ，OC →＝c ，则|a |＝1，|b |＝32，|c |＝1，a ·c ＝－12，a ·b ＝0，b ·c ＝0.设平面BCD 的法向量为n ＝x a ＋y b ＋z c ， ∵n ·b ＝x a ·b ＋y b 2＋z b ·c ＝34y ＝0，∴y ＝0.n ·c ＝x a ·c ＋y b ·c ＋y c 2＝－12x ＋z ＝0，∴x ＝2z .取z ＝1，则x ＝2，∴n ＝2a ＋c ，∵AC →·n ＝(c －a )(2a ＋c )＝a ·c －2a 2＋c 2＝－32，|n |＝4a 2＋c 2＋4a ·c ＝3，∴点A 到平面BCD 的距离d ＝|AC →·n ||n |＝32.三、解答题(本大题共6个小题，共74分，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)底面是正三角形，侧棱垂直于底面的棱柱为正三棱柱．如图所示，在正三棱柱ABC －A 1B 1C 1中，AB ＝3，AA 1＝4，M 为AA 1中点，P 是BC 上一点，且由P 沿棱柱侧面经过棱CC 1到M 的最短距离为29，设这条最短路线与CC 1的交点为N ，求：(1)棱柱的侧面展开图的对角线长； (2)PC 与NC 的长； (3)棱柱的表面积．[解析] (1)正三棱柱ABC －A 1B 1C 1侧面展开图是一个长为9，宽为4的矩形，其对角线长为92＋42＝97.(2)如图是侧面展开图的一部分．MP 1就是由点P 沿棱柱侧面经过棱CC 1到点M 的最短路线．设PC ＝x ，即P 1C ＝x ，在Rt △MAP 1中，AM 2＋AP 21＝MP 21，∴(3＋x )2＋22＝29， ∴x ＝2，∴PC ＝P 1C ＝2. ∵NC MA ＝P 1C P 1A ＝25，∴NC ＝45. (3)棱柱的表面积：S ＝S 侧＋2S 底＝9×4＋2×12×32×32＝36＋932.18．(本小题满分12分)已知某几何体的三视图如下图所示，其中俯视图为正三角形，设D 为AA 1的中点．(1)作出该几何体的直观图并求其体积． (2)求证：平面BB 1C 1C ⊥平面BDC 1.(3)BC 边上是否存在点P ，使AP ∥平面BDC 1？若不存在，说明理由；若存在，证明你的结论．[解析] 由题意可知该几何体为直三棱柱，且它的直观图如图所示．由图知底面正三角形边长为2，棱柱高为3，∴S △ABC ＝3，∴V ＝3 3.(2)证明：连结B 1C 交BC 1于E 点，则E 为B 1C 、BC 1的中点，连结DE . ∵AD ＝A 1D ，AB ＝A 1C 1，∠BAD ＝∠DA 1C 1＝90°， ∴△ABD ≌△A 1C 1D .∴BD ＝C 1D .∴DE ⊥BC 1. 同理，DE ⊥B 1C ，又∵B 1C ∩BC 1＝E .∴DE ⊥平面BB 1C 1C .又∵DE ⊂平面BDC 1，∴平面BB 1C 1C ⊥平面BDC 1.(3)解：取BC 的中点P ，连结AP ，则AP ∥平面BDC 1， 证明：连结PE ，则PE ∥AD ，且PE ＝AD ， ∴四边形APED 为平行四边形．∴AP ∥DE .又DE ⊂平面BDC 1，AP ⊄平面BDC 1， ∴AP ∥平面BDC 1.19．(本小题满分12分)已知四棱锥P －ABCD 的直观图与三视图如图所示，点E 为棱AD 的中点，在棱PC 上是否存在一点F ，使得EF ⊥平面PBC ？若存在，求出线段EF 的长度；若不存在，说明理由．[解析] 在棱PC 上存在点F ，使得EF ⊥平面PBC . 由三视图知，此四棱锥的底面是边长为2的正方形，侧棱P A ⊥底面ABCD ，P A ＝2，∴AB 、AP 、AD 两两互相垂直，以AB 、AD 、AP 分别为x 轴、y 轴、z 轴建立空间直角坐标系，则B (2,0,0)、C (2,2,0)、D (0,2,0)，E (0,1,0)，P (0,0,2)，设F (x ，y ，z )是PC 上的点，则PF →＝λPC →(0≤λ≤1)， PF →＝(x ，y ，z －2)，PC →＝(2,2，－2)，则⎩⎪⎨⎪⎧x ＝2λy ＝2λz －2＝－2λ，∴⎩⎪⎨⎪⎧x ＝2λy ＝2λy ＝2－2λ，∴F (2λ，2λ，2－2λ)，∴EF →＝(2λ，2λ－1,2－2λ)，若EF ⊥平面PBC ，则⎩⎪⎨⎪⎧EF →·PC →＝0EF →·BC →＝0，∵BC →＝(0,2,0)，PC →＝(2,2，－2)， ∴⎩⎪⎨⎪⎧4λ＋4λ－2－4＋4λ＝04λ－2＝0，∴λ＝12，这时F (1,1,1)，∵12∈[0,1]，∴存在点F 且为棱PC 的中点，EF →＝(1,0,1)，EF ＝|EF →|＝ 2.20．(本小题满分12分)(08·福建)如图，在四棱锥P －ABCD 中，侧面P AD ⊥底面ABCD ，侧棱P A ＝PD ＝2，底面ABCD 为直角梯形，其中BC ∥AD ，AB ⊥AD ，AD ＝2AB ＝2BC ＝2，O 为AD 中点．(1)求证：PO ⊥平面ABCD ；(2)求异面直线PB 与CD 所成角的大小； (3)求点A 到平面PCD 的距离． [解析] (1)在△P AD 中P A ＝PD ，O 为AD 中点，所以PO ⊥AD ，又侧面P AD ⊥底面ABCD ，平面P AD ∩平面ABCD ＝AD ，PO ⊂平面P AD ，故PO ⊥平面ABCD .(2)以O 为坐标原点，OC →、OD →、OP →的方向分别为x 轴、y 轴、z 轴的正方向，建立空间直角坐标系O －xyz .则A (0，－1,0)、B (1，－1,0)、C (1,0,0)、 D (0,1,0)、P (0，0,1)， ∴CD →＝(－1,1,0)，PB →＝(1，－1，－1)．cos<PB →，CD →>＝PB →·CD →|PB →||CD →|＝－63，即异面直线PB 与CD 所成的角是arccos63. (3)设平面PCD 的法向量为n ＝(x 0，y 0，z 0)，由(2)知CP →＝(－1,0,1)，CD →＝(－1,1,0)，则⎩⎪⎨⎪⎧n ·CP →＝0n ·CD →＝0，∴⎩⎪⎨⎪⎧－x 0＋z 0＝0－x 0＋y 0＝0，即x 0＝y 0＝z 0，取x 0＝1，得平面的一个法向量为n ＝(1,1,1)． 又AC →＝(1,1,0)，从而点A 到平面PCD 的距离d ＝|AC →·n ||n |＝233.21．(本小题满分12分)如图，棱柱ABCD —A 1B 1C 1D 1的所有棱长都等于2，∠ABC ＝60°，平面AA 1C 1C ⊥平面ABCD ，∠A 1AC ＝60°.(1)求异面直线BD 和AA 1所成的角；(2)求二面角D —A 1A —C 的平面角的余弦值；(3)在直线CC 1上否存在点P ，使BP ∥平面DA 1C 1？若存在，求出点P 的位置；若不存在，说明理由．[解析] 连结BD 交AC 于O ，则BD ⊥AC ，连结A 1O ，在△AA 1O 中，AA 1＝2，AO ＝1，∠A 1AO ＝60°，∴A 1O 2＝AA 21＋AO 2－2AA 1·AO ·cos60°＝3.∴AO 2＋A 1O 2＝AA 21. ∴A 1O ⊥AO ，∵平面AA 1C 1C ⊥平面ABCD ，∴A 1O ⊥平面ABCD .∴以OB 、OC 、OA 1所在直线为x 轴、y 轴、z 轴建立如图所示空间直角坐标系，则A (0，－1,0)，B (3，0,0)，C (0,1,0)，D (－3，0,0)，A 1(0,0，3)．(1)∵BD →＝(－23，0,0)，AA 1→＝(0,1，3)， ∴AA 1→·BD →＝0×(－23)＋1×0＋3×0＝0，∴BD ⊥AA 1，即异面直线BD 和AA 1所成的角为90°. (2)∵OB ⊥平面AA 1C 1C ，∴平面AA 1C 1C 的法向量n 1＝(1,0,0)．设n 2＝(x ，y ，z )是平面AA 1D 的一个法向量，则⎩⎪⎨⎪⎧n 2⊥AA 1→，n 2⊥AD →.∴⎩⎨⎧y ＋3z ＝0，－3x ＋y ＝0.取n 2＝(1，3，－1)．∴cos 〈n 1，n 2〉＝n 1·n 2|n 1||n 2|＝55. ∴二面角D —A 1A —C 的平面角的余弦值是55. (3)假设在直线CC 1上存在点P ，使BP ∥平面DA 1C ， 设CP →＝λCC 1→，P (x ，y ，z )， 则(x ，y －1，z )＝λ(0,1，3)．∴P (0,1＋λ，3λ)，BP →＝(－3，1＋λ，3λ)．设n 3＝(x 3，y 3，z 3)是平面DA 1C 1的一个法向量，则⎩⎪⎨⎪⎧n 3⊥A 1C 1→，n 3⊥DA 1→.∴⎩⎨⎧2y 3＝0，3x 3＋3z 3＝0，不妨取n 3＝(1,0，－1)．又∵BP →∥平面DA 1C 1，∴n 3·BP →＝0， ∴－3－3λ＝0，∴λ＝－1，即点P 在C 1C 的延长线上，且使C 1C ＝CP .22．(本小题满分14分)如图，ABCD －A 1B 1C 1D 1是正四棱柱．(1)求证：BD ⊥平面ACC 1A 1；(2)若二面角C 1－BD －C 的大小为60°，求异面直线BC 1与AC 所成角的大小．[解析] 建立空间直角坐标系D －xyz 如图：(1)设AD ＝a ，DD 1＝b ，则D (0,0,0)，A (a,0,0)，B (a ，a,0)，C (0，a,0)，C 1(0，a ，b )， ∵BD →＝(－a ，－a,0)，AC →＝(－a ，a,0)，CC 1→＝(0,0，b )，∴BD →·AC →＝0，BD →·CC 1→＝0，∴BD ⊥AC ，BD ⊥CC 1，∵AC ，CC 1⊂平面ACC 1A 1且AC ∩CC 1＝C ，∴BD ⊥平面ACC 1A 1.(2)设BD 与AC 相交于O ，则点O 坐标为⎝⎛⎭⎫a 2，a 2，0，OC 1→＝⎝⎛⎭⎫－a 2，a 2，b ， ∵BD →·OC 1→＝0，∴BD ⊥C 1O ，又BD ⊥CO ，∴∠C 1OC 是二面角C 1－BD －C 的平面角，∴∠C 1OC ＝60°，∵tan ∠C 1OC ＝CC 1OC ＝b 22a ＝3，∴b ＝62a . ∵AC →＝(－a ，a,0)，BC 1→＝(－a,0，b )，∴cos 〈AC →，BC 1→〉＝AC →·BC 1→|AC →||BC 1→|＝55， ∴异面直线BC 1与AC 所成角的大小为arccos 55. [点评] 1.可不用空间向量解答．第(1)问易证，二面角的平面角也很容易找出，关键是异面直线BC 1与AC 所成的角，可过B 作AC 的平行线与DC 延长线交于E ，通过解△EBC 1求解．2．棱柱和棱锥是考查空间线面位置关系的主要载体，应重点训练．。

阶段性测试题七(选修七质量过关检测)本卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。

共150分。

时间：120分钟。

第Ⅰ卷(选择题共115分)第一部分：听力(共两节，满分30分)第一节(共5小题；每小题1.5分，满分7.5分)听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1．Which sport does the man like?A．Table tennis. B．Football. C．Basketball.2．When could the woman meet the man?A．At 9：30. B．At 10：00. C．At 10：30.3．Why are Mr and Mrs White going to New York?A．To have a visit there.B．To celebrate Mr White's birthday.C．To celebrate their wedding anniversary.4．What vehicle does the man suggest the woman take?A．The train. B．The bus. C．The taxi.5．What will the woman do tomorrow?A．Write a composition.B．Have some classes.C．Go to a concert.第二节(共15小题；每小题1.5分，满分22.5分)听下面5段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6、7题。

选修六Module 1～3综合技能测试本卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。

满分150分，考试时间120分钟。

第Ⅰ卷(选择题共115分)第一部分：听力(共两节，满分30分)略第二部分：基础知识运用(共两节，满分45分)第一节：单项填空(共15小题；每小题1分，满分15分)从A、B、C、D四个选项中，选出可以填入空白处的最佳选项。

21．The teacher ________ have thought Johnson was worth it or she wouldn't have wasted time on him, I suppose.A．should B．canC．would D．must答案：D该题考查情态动词。

句意：我认为老师一定认为约翰逊值得培养，否则她就不会在他身上浪费时间了。

A项表示应该，B项时态错，C项可以表示可能，但可能性极小，故选D项表示语气十分肯定的对过去事情的推测。

22．—Mum, I bought you a beautiful dress.—Oh，you ________ so much money. Thank you, anyway.A．didn't need to spend B．don't have to spendC．shouldn't spend D．needn't have spent答案：D由上下文情景，此处应指对于别人已做的事情表示客气，不需要，故应用needn't have done结构，指本来没必要，而实际上却做了。

23．Many of the creatures in Rowling's world are not real, and much of ________ happens is strange.A．which B．thatC．what D．it答案：C考查名词性从句。

高二册1～20单元阶段测试Ⅰ.语音知识(共5小题；每小题1分，满分5分)(2009·武汉市高三4月调研)1．passenger A. sugar B. organizeC. strangeD. together2．chemistry A. stomach B. achieveC. checkD. machine3．club A. pollution B. struggleC. usefulD. bury4．majority A. baggage B. attractC. CanadianD. magazine5．area A. theatre B. breatheC. breakD. heaven[答案]1—5 CABDAⅡ.单项填空(共15小题；每小题1分，满分15分)6．Written in a hurry, ______.A. Peter made many mistakes in the paperB. there are many mistakes in the paperC. we found some mistakes in the paperD. the paper is full of mistakes7．Teaching is hard work; I love it, ______.A. thoughB. butC. yetD. therefore8．The service shop ______ him 30 yuan for repairing his TV set.A. askedB. chargedC. paidD. owed9．I couldn’t find my watch for ages, but then one day it ______ in a coat pocket.A. came upB. got outC. found outD. turned up10．She is looking forward as much to his return as he himself to ______ her.A. have seenB. seeingC. seeD. be seen11．Keep away from such things ______ will do you harm.A. asB. thatC. likeD. which12．The teacher ordered a lot of exercises ______ three days’ time.A. be finishedB. would be finishedC. to finishD. being finished13．The meeting was put off, ______ was exactly ______ we wanted.A. it; thatB. as; thatC. which; whatD. this; what14．______ the end of last year, they have been working on the project, and it is progressing well.A. ByB. AtC. SinceD. In15．As most of their houses were badly damaged after the earthquake, many people had to be ______ in a stadium.A. put awayB. put upC. put outD. put off16．My teacher of English is really very kind. I’ll never forget the ______ he has done me.A. favourB. deedC. helpD. value17．—Do you mind if I use your bike?—No, ______.A. you are welcomeB. that’s all rightC. you can’t use itD. help yourself, please18．—Can I help you, sir?—Yes, I’d like a room with a ______ for two nights, please.A. viewB. suitC. sceneryD. sight19．No matter how much money you possess, it can not ______ a healthy body.A. compareB. suitC. defeatD. match20．—Mom, the door ______. My keys are locked in it again.—You ______ it! I told you always to carry your keys with you.A. won’t open; have asked forB. won’t be opened; asked forC. won’t open; asked forD. can’t open, are asking for[答案]6．D。

高三册1～4单元阶段测试Ⅰ.语音知识(共5小题；每一小题1分，总分为5分)(2009·河南第一学期期末)1．climbA. combB. doubleC. clubD. breathe2．country A. doubt B. ploughC. cousinD. ought3．stomachA. sandwichB. ChristmasC. churchD. machine4．purse A. surround B. surpriseC. purposeD. hurry5．achieve A. police B. friendC. coffeeD. movie[答案]1—5 ACBCAⅡ.单项填空(共15小题；每一小题1分，总分为15分)6．It was in Beihai Park ______ they made a date for the first time ______ the old couple told us their love story.A. where; thatB. that; thatC. where; whenD. that; when7．After the flood, the villagers are trying their best to get things back to ______.A. usualB. ordinaryC. normalD. common8．—Look, the door is open. You must have forgotten to lock it when you left.—Oh, ______.A. so have IB. so did IC. so I didD. so it was9．—Have you got used to the Chinese food, Robert?—Yes. But I don’t like ______ when a Chinese host keeps serving me the foodI don’t like.A. thisB. thatC. thoseD. it10．Yesterday I received some Christmas cards from my former students, ______ made me very happy.A. thatB. whoC. whichD. what11．—Shall Harry come and play computer games?—No, ______ he has finished his homework.A. whenB. ifC. unlessD. once12．—Has Dr. Green left the hotel yet?—Yes, he ______ just about ten minutes ago.A. passed awayB. pulled outC. checked outD. checked in13．—Who was the first man on the moon?—I have no idea who ______.A. the first man on the moon wasB. was the first man on the moonC. if the first man on the moon wasD. whether the first man on the moon was14．—Guess what? I drove my new car at a speed of 100 km this afternoon. It was fun.—Were you crazy? You ______ yourself!A. can killB. might killC. would have killedD. could have killed15．—Your son bought a new MP4 last week.—______？That’s his third one in just two months. Am I right?A. Had heB. Has heC. Did heD. Does he16．The winner of the Grand Slams said that he had owed his success to many people,his parents ______.A. after allB. by chanceC. on purposeD. in particular17．According to a new survey, every year about ______ dollars is spent to look after people with illness caused by smoking.A. 30 millions ofB. 30 million ofC. 30 millionsD. 30 million18．I knew I shouldn’t accept anything from such a person, but I found it difficult to turn down his ______.A. planB. offerC. suggestionD. request19．—What do you think of the work Tom has done recently?—I feel ______ that the work shouldn’t have been done so carelessly.A. badlyB. directlyC. stronglyD. hardly20．I advise you to take school more seriously, otherwise you’ll have to go out and work ______.A. as a resultB. now and thenC. in a wordD. at that moment[答案]6．A。

高一册1～22单元阶段测试Ⅰ.语音知识(共5小题；每一小题1分，总分为5分)(2009·湖北省八校第二次联考)1．storm A. comfortable B. editorC. affordD. world2．paragraph A. character B. castC. distanceD. operate3．examine A. exist B. excitedC. exerciseD. expert4．packet A. develop B. immediatelyC. collectD. comedy5．sugar A. sign B. peasantC. islandD. Asia[答案]1—5 CBADDⅡ.单项填空(共15小题；每一小题1分，总分为15分)6．—What ______ to them?—They appeared ______ in the accident.A. happened; to have been injuredB. had happened; to be injuredC. happened; injuredD. have happened; to be injured7．Questions and exercises are given by the computer, which decides ______ to move the student ahead, review an easier level ______ give more work on the same level.A. both; andB. whether; orC. not only; butD. either; or8．From the date ______ on the gold coin, we decided that it was made five hundred years ago.A. markingB. markedC. to be markedD. having been marked9．Flight BA123 to Vienna is now boarding at ______.A. Gate 21B. 21st GateC. the Gate 21D. 21 Gate10．—How did you find him out?—I ______ his name by chance on the list.A. came downB. came aboutC. came upD. came across11．—Do you know when the Chinese custom ______ from?—It’s hard to say. But its characteristics ______ t he Tang Period.A. began; proveB. started; showC. is; appearD. dates; suggest12．All the preparations for the project ______，and we’re ready to start.A. completedB. had been completedC. completeD. have been completed13．The expert said she ______ Xinjiang to join the development of the West Regions the next month.A. had left forB. left forC. was leaving forD. would leave for14．Everybody in our hometown, men and women, young and old, ______ sports and games.A. are fond ofB. joinsC. enjoysD. go in for15．If you ______ talk about it with me, please wait till I finish my work at hand.A. canB. mayC. mustD. should16．Some of the drivers were also ______ by the police because of their good behavior in the traffic accident.A. examinedB. questionedC. praisedD. punished17．—Gina, ______ Mr. Brown wanted you on ______ phone just now.—Mr. Brown? Who is he?A. a; theB. /; theC. a; aD. /; a18．______ than a century ago ______ of the things we’re doing now were thought impossible.A. More; muchB. Fewer; fewC. Longer; moreD. Less; many19．Yesterday evening I came across the man ______ you think is pleased to ______.A. whom; get along withB. who; work withC. whom; be talked withD. who; talk20．—How about some more coffee?—It’s very kind of you. ______.A. That’s all rightB. It tastes nice and sweetC. Just a little, pleaseD. I enjoyed it very much[答案]6．A。

高一册 Unit 6Ⅰ.单词拼写1．There are many ______(风俗) in America different from those in China.2．He ______(举止) so badly that we all don’t like him.3．My friend didn’t mean to hurt me. So I ______(原谅) him later.4．Mr. Li often does some ______(额外的) part－time jobs in order to earn enough money.5．During my ______(童年时代), few families had TV sets or computers.6．Little Frantz didn’t know what to say to ______(道歉) for his being late again for school.7．You should give a brief ______(介绍) to all the people present.8．When you are interviewed, the first ______(印象) is very important.9．It is good ______(礼貌) to wait in line when buying tickets.10．It is impolite do ______(打断) somebody when they are talking or doing something.[答案]1．customs 2.behaves 3.forgave 4.extra5．childhood 6.apologize 7.introduction8．impression 9.manners 10.interruptⅠ.完成句子(湖北专用)1．The house, ____________(他住的), needs repairing.(live)2．He made a long speech, ____________(未料到)．(expect)3．Antarctic, ____________(对此我知之甚少), is covered with thick ice all the year around.(know)4．If you ____________(碰见一个错误) in reviewing the report, please bring it to my attention.(come)5．I will ____________(记录他的谈话)．(record)6．He desired that ____________(他死后这些信件被烧毁)．(burn)7．The fire ____________(从工厂蔓延到了) the warehouse nearby when the firefighters arrived.(spread)8．If only ____________(我那时同你在一起)！(stay)9．The pop singer succeeded in making his fans happy ____________(用各种方法)．(variety)10．I didn’t like the story, for it ____________(没有使我满意)．(satisfy) [答案]1．where he lives(which he lives in)2．which was not expected3．about which I know very little4．come across a mistake5．keep a record of his telephone conversations6．these letters(should) be burnt after his death7．spread from the factory to8．I had stayed with you then9．in a variety of(varieties of) way10．didn’t satisfy meⅡ.单项填空1．When you are abroad, remember to adapt to other country’s ______.A. customsB. habitsC. practiceD. instructions2．Though ten years went by, we thought his mistakes shouldn’t ______.A. apologizeB. be apologizedC. forgiveD. be forgiven3．The little boy hopes that no ______ will be played on him and wants to be respected.A. funB. tricksC. roleD. part4．The host of the party spoke in such a rude ______ as to make all the attendants feel bad and angry.A. meansB. languageC. mannersD. manner5．______ quite common for people to believe that more and more teenagers have become addicted to on－line games.A. As isB. It isC. That isD. What is6．I had thought I was going to fail the driving test, but I eventually succeeded ______.A. after allB. first of allC. in allD. above all7．Tom，______ yourself. Did you forget the school rules?A. behaveB. believeC. performD. conduct8．I had thought there would be many students in the hall, but when I went in, I found ______.A. noneB. no oneC. nobodyD. nothing9．His parents wished him to be a doctor, but in the end he ______ lawyer.A. becameB. gotC. changedD. turned10．—I’m sorry, but I didn’t mean ______ out your secret.—But you know, letting out one’s secret means ______ one’s feelings.A. to let; to hurtB. letting; hurtingC. to let; hurtingD. letting; to hurt11．Don’t play any longer. It’s h igh time you ______ down to your study.A. gotB. getC. shall getD. to get12．I don’t like the pattern of the trousers. ______，the color doesn’t suit me.A. HoweverB. InsteadC. BesidesD. Another13．Before Tom left home, his mother kept telling him to ______ his manners atthe party.A. careB. mindC. observeD. notice14．The young man acted strangely during the interview. He made a bad ______ on the employer.A. impressionB. expressionC. experienceD. opinion15．(2010·某某调研)______ seems to be a strong competition in China for senior high students to enter college or university.A. ItB. ThereC. WhatD. That[答案]1．A。