平面向量单元测试题及答案1

1、Do the foll owing three mainpoi nts:1 findout theweak. Reviewprocess is to sum up the knowledge on theone hand, make the knowl edge morecoherent system and regularity, but also let the students themseobllves, looksup the deficiencies. S o, we teachers to understand t he students knowledge of the sit

2、uationprior to the review, students not only found widespread defi ciencies,but al so some shortcomings, for these well designecreated id pr ograms, reasonable arrangement of time, this review is more targeted and more effective.e to use to the maximum, aFor example, you candesign a form for investi

3、gation,understanding stude nts weaknesse s in each k nowledge,put it a s a review of key, combine d with the problemof textbooks to review, both to avoidca sting anet tihaizhanshu, a nd improve theefficiency of review. 2, goodcollation. Throughsix years of study,knowhow to guide the stude nts to lab

4、el theaccumulation,process, form a system of knowledgenetworks.Exercises for students to be represe ntative, fine, complete, to live, and earnestly do a prem learning a method, class of pass wa s to get time efficient review results. 3, pay attention touse.The accumulationof knowledge is ultimately

5、to use, therefore, review the situation and life situation to ben a variety of languages, g uidestudentson the basis of theprevious accumulation of knowledgnd really apply what theyhave learned.Second, review the content and strategy ofthe first part: thebasi cs (a) 1, review the main pointsof Hanyu

6、Pinyin is able to recite and write down the alphabetof HanyuPinyi n; accuratespelling pr onunciation (after reading cacumina l, nasal sound, light, and retr oflex sounds), the correct write consonaPinyin alphabetica l order; fill in the appropriate uppercase and l owercase letters;see phonetic writi

7、ng words; pinyin to write sentence s with dot to select the correct pronunci ationof the word; to bring some initial consonantsor vowels, wor d selection.Second, the main types of words (1) Ruby written words;(2 ) to bring Word to sele ct the correctpronunciation;(3) use a sequencer and radical char

8、acter lookup method必修四第二章平面向量测试题班别姓名学号分数一选择题：（5 分 10分）=501.下列说法中错误的是（）A 零向量没有方向B 零向量与任何向量平行C零向量的长度为零D 零向量的方向是任意的2. 下列命题正确的是（）A. 若 a 、 b 都是单位向量，则a bB. 若 AB = DC , 则 A、B、 C、 D 四点构成平行四边形C. 若两向量 a 、 b 相等，则它们是始点、终点都相同的向量D. AB 与 BA 是两平行向量3.下列命题正确的是（）A 、若a b ，且b c ，则a cB 、两个有共同起点且相等的向量，其终点可能不同C、向量 AB 的长度与向

9、量BA 的长度相等D、若非零向量AB 与 CD 是共线向量，则A 、 B 、C、D 四点共线4.已知向量 am,1，若， a=2，则 m（）A 1B.3C.1D.3rr(2 x,3)rr5.已知 a(1,2) , b且 a b , 则 x（）A、 3B、3C、 0D 、3446、在ABC中 , 若 AB3, AC4,BAC60 0, 则 BAAC（）A、 6B、 4 C、 -6 D、 -47. 在 ABC 中，若 BABCAC，则ABC 一定是（）A钝角三角形B锐角三角形C直角三角形D 不能确定r rruurrrrr rrrr8.已知向量 a, b, c 满足 | a |1,|b |2, ca

10、b,ca ，则 a与b 的夹角等于（）Do the foll owing three mainpoi nts:1 findout theweak. Reviewprocess is to sum up the knowledge on theone hand, make the knowl edge morecoherent system and regularity, but also let the students themseobllves, looksup the deficiencies. S o, we teachers to understand t he students k

11、nowledge of the situationprior to the review, students not only found widespread defi ciencies,but al so some shortcomings, for these well designecreated id pr ograms, reasonable arrangement of time, this review is more targeted and more effective.e to use to the maximum, aFor example, you candesign

12、 a form for investigation,understanding stude nts weaknesse s in each k nowledge,put it a s a review of key, combine d with the problemof textbooks to review, both to avoid casting a net tihaizhanshu, a nd improve theefficiency of review. 2, goodknowhow to guide the stude nts to label theaccumulatio

13、n,process, form a system of knowledgenetworks.Exercises for students to be represe ntative, fine, complete, to live, and earnestly do a prem learning a method, class of pass wa s to get time efficient review results. 3, pay attention touse.The accumulationof knowledge is ultimately to use, therefore

14、, review the situation and life situation to ben a variety of languages, g uidestudentson the basis of theprevious accumulation of knowledgnd really apply what theyhave learned.Second, review the content and strategy ofthe first part: thebasi cs (a) 1, review the main pointsof HanyuPinyin is able to

15、 recite and write down the alphabetof HanyuPinyi n; accuratespelling pr onunciation (after readiPinyin alphabetica l order; fill in the appropriate uppercase and l owercase letters;see phonetic writing words; pinyin to write sentence s withdot to select the correct pronunci ationof the word; to brin

16、g some initial consonantsor vowels, wor d selection.Second, the main types of words (1) Ruby written words;(2 ) to bring Word to sele ct the correctpronunciation;(3) use a sequencer and radical character lookup methodcollation. Throughsix years of study,students in thebasi cs, reading method, exerci

17、ses, and so alreadyhave a certaindegree of accumulation, the review stage, teachers shouldng cacuminal, nasal sound, light, and retroflex sounds), the correct write consonants, vowels and syllables.2,. main types according to the orderof the alphabet of HanyuA 1200B600C300D90orrr(r9. 若向量 a(1,1), b(1

18、, 1) , c1,2) , 则 c 等于（）A、1 r3 rB 、1 r3 rC 、3 r1 rD 、3 r1 r2abab2abab22222210. 若 a(3,4), b(2,1), 且(axb)(ab) , 则实数 x=（）A、 23B、 23C、 23D、 23234二，填空题：（5 分 4=20 分）uuuruuuruuur(2,6) ，则11.已知 MA( 2,4), MB1 AB212.若 ae13 e2 ,b 4 e1 2 e2，c3 e112 e2，则向量 a变成1 b2 c 的形式是1点 P 是线段 AB 的一个三等分点，则点P 的坐标为3. 若 A(-1,-2),B(

19、4,8),rrb=1， 3a2b3ab =14.已知向量 a 、 b 满足 a =3，则三 .解答题：（ 80 分）15.（ 6 分 2= 12 分）化简（ 1） QPPSMQNMSN（ 2） 33a 2b 6a1 4a 2b222Do the foll owing three mainpoi nts:1 findout theweak. Reviewprocess is to sum up the knowledge on theone hand, make the knowl edge morecoherent system and regularity, but also let the

20、 students themseobllves, looksup the deficiencies. S o, we teachers to understand t he students knowledge of the situationprior to the review, students not only found widespread defi ciencies,but al so some shortcomings, for these well designecreated id pr ograms, reasonable arrangement of time, thi

21、s review is more targeted and more effective.e to use to the maximum, aFor example, you candesign a form for investigation,understanding stude nts weaknesse s in e ach k nowledge,knowhow to guide the stude nts to label theaccumulation,process, form a system of knowledgenetworks.Exercises for student

22、s to be represe ntative, fine, complete, to live, and earnestly do a prem learning a method, class of pass wa s to get time efficientreview results. 3, payattention touse.The accumulationof knowledge is ultimately to use, therefore, review the situation and life situation to ben a variety of languag

23、es, g uidestudentson the basis of theprevious accumulation of knowledgnd really apply what theyhave learned.Second, review the content and strategy of the first part: thePinyin alphabetica l order; fill in the appropriate uppercase and l owercase letters;see phonetic writing words; pinyin to write s

24、entence s with dot to select the correct pronunci ationof the word; to bring some initial consonantsor vowels, wor d selection.Second, the main types of words (1) Ruby written words;(2 ) to bring Word to sele ct the correctpronunciation;(3) use a sequencer and radical character lookup methodput it a

25、s a review of key, combined with the problemof textbooks to review, both to avoid casting anet tihaizha nshu, a nd improve theefficiency of review. 2, goodbasics (a) 1, review the main pointsof HanyuPinyin is able to recite andwrite down the alphabetof HanyuPinyin; accurate spelling pr onunciation (

26、after readicollation. Throughsix years of study,students in thebasi cs, reading method, exercises, ants, vownd so alreadyhave a certaindegree of accumulation, the review stage, teacher s shouldng cacumina l, nasal sound, light, and retr oflex sounds), the correct write consonaels a nd syllables.2,.

27、main types according to the orderof the al phabet of Hanyuuruurruruur ruruur16.（ 14 分）已知 e1、 e2 是夹角为60的两个单位向量， a3e12e2 ， b2e13e2r rrrrr(1) 求 a b ; (2)求 ab 与 ab 的夹角 .17.（ 14 分）P (4,3), P ( 2,6),PP1 P2P1P2 PP 218.（ 12 分）设 12且在的延长线上，使，则求点P 的坐标。3Do the foll owing three mainpoi nts:1 findout theweak. Rev

28、iewprocess is to sum up the knowledge on theone hand, make the knowl edge morecoherent system and regularity, but also let the students themseobllves, looksup the deficiencies. S o, we teachers to understand t he students knowledge of the situationprior to the review, students not only found widespr

29、ead defi ciencies,but al so some shortcomings, for these well designecreated id pr ograms, reasonable arrangement of time, this review is more targeted and more effective.e to use to the maximum, aFor example, you candesign a form for investigation,understanding stude nts weaknesse s in each k nowle

30、dge,put it a s a review of key, combine d with the problemof textbooks to review, both to avoid casting a net tihaizhanshu, a nd improve theefficiency of review. 2, goodknowhow to guide the stude nts to label theaccumulation,process, form a system of knowledgenetworks.Exercises for students to be re

31、prese ntative, fine, complete, to live, and earnestly do a prem learning a method, class of pass wa s to get time efficient review results. 3, pay attention touse.The accumulationof knowledge is ultimately to use, therefore, review the situation and life situation to ben a variety of languages, g ui

32、destudentson the basis of theprevious accumulation of knowledgnd really apply what theyhave learned.Second, review the content and strategy ofthe first part: thebasi cs (a) 1, review the main pointsof HanyuPinyin is able to recite and write down the alphabetof HanyuPinyi n; accuratespelling pr onunc

33、iation (after readiPinyin alphabetica l order; fill in the appropriate uppercase and l owercase letters;see phonetic writing words; pinyin to write sentence s withdot to select the correct pronunci ationof the word; to bring some initial consonantsor vowels, wor d selection.Second, the main types of

34、 words (1) Ruby written words;(2 ) to bring Word to sele ct the correctpronunciation;(3) use a sequencer and radical character lookup methodcollation. Throughsix years of study,students in thebasi cs, reading method, exercises, and so alreadyhave a certaindegree of accumulation, the review stage, te

35、achers shouldng cacuminal, nasal sound, light, and retroflex sounds), the correct write consonants, vowels and syllables.2,. main types according to the orderof the alphabet of Hanyu19.（ 14分）已知ABC_三个顶点的直角坐标分别为A(3 ， 4) 、 B(0 ， 0) 、 C(c， 0) uuur uuur0(1) 若AB AC若 C=5，求 sin A 的值, 求 c 的值；(2)20.（ 14 分）已知向

36、量 m (1,1), 向量 n 与向量m 的夹角为3,且 m n1 .4（ 1）求向量 n ；（ 2）设向量 a(1,0),向量b(cos x, ,sin x) ，其中 xR ，若 n a 0 ，试求 | nb |的取值范围 .4Do the foll owing three mainpoi nts:1 findout theweak. Reviewprocess is to sum up the knowledge on theone hand, make the knowl edge morecoherent system and regularity, but also let the

37、students themseobllves, looksup the deficiencies. S o, we teachers to understand t he students knowledge of the situationprior to the review, students not only found widespread defi ciencies,but al so some shortcomings, for these well designecreated id pr ograms, reasonable arrangement of time, this

38、 review is more targeted and more effective.e to use to the maximum, aFor example, you candesign a form for investigation,understanding stude nts weaknesse s in e ach k nowledge,knowhow to guide the stude nts to label theaccumulation,process, form a system of knowledgenetworks.Exercises for students

39、 to be represe ntative, fine, complete, to live, and earnestly do a prem learning a method, class of pass wa s to get time efficientreview results. 3, payattention touse.The accumulationof knowledge is ultimately to use, therefore, review the situation and life situation to ben a variety of language

40、s, g uidestudentson the basis of theprevious accumulation of knowledgnd really apply what theyhave learned.Second, review the content and strategy of the first part: thePinyin alphabetica l order; fill in the appropriate uppercase and l owercase letters;see phonetic writing words; pinyin to write se

41、ntence s with dot to select the correct pronunci ationof the word; to bring some initial consonantsor vowels, wor d selection.Second, the main types of words (1) Ruby written words;(2 ) to bring Word to sele ct the correctpronunciation;(3) use a sequencer and radical character lookup methodput it as

42、 a review of key, combined with the problemof textbooks to review, both to avoid casting anet tihaizha nshu, a nd improve theefficiency of review. 2, goodbasics (a) 1, review the main pointsof HanyuPinyin is able to recite andwrite down the alphabetof HanyuPinyin; accurate spelling pr onunciation (a

43、fter readicollation. Throughsix years of study,students in thebasi cs, reading method, exercises, ants, vownd so alreadyhave a certaindegree of accumulation, the review stage, teacher s shouldng cacumina l, nasal sound, light, and retr oflex sounds), the correct write consonaels a nd syllables.2,. m

44、ain types according to the orderof the al phabet of Hanyu平面向量单元测试题答案：一，选择题： 1-5 A D C D B6-10 C C A B C二，填空题：11.(2,1) ；12.(8,16) ； 13.（ 7 , 14 ）或（ 2, 4）； 14.233333三，解答题：18.解法一：设分点 P（ x,y）， P1 P =2 PP2 ， = 2 (x4,y+3)= 2( 2 x,6 y),x 4=2x+4, y+3=2y 12, x= 8,y=15, P(8,15 )解法二：设分点P（ x,y）， P1 P = 2 PP2 ，=

45、2 x= 4 2( 2) =8,1 2y=326=15, P(8,15 )12解法三：设分点P（ x,y）， P1 P2 PP 2, 2= 4x ,x= 8,26=3y ,y=15, P(8,15 )219解 (1)uuur(3,uuur(c3,4)AB4), ACuuur uuur0可得3(c3)16025由 AB AC解得 c3(2)当c 5时可得 AB5, AC25, BC5为等腰三角形, ABC过 B 作 BDAC 交 AC 于 D ,可求得 BD25BD25故 sin A5ABuuuruuur(其它方法如利用数量积ABAC 求出 cosA 进而求 sin A ;)5Do the foll owing three mainpoi nts:1 findout theweak. Reviewprocess is to sum up the knowledge on theone hand, make the knowl edge morecoherent system and regularity, but also let th