當X=3時,Y最小值=-1,且圖像過(0,7),求關於X的二次函數解析式

當X=3時,Y最小值=-1,且圖像過(0,7),求關於X的二次函數解析式


由此可以設二次函數的解析式為:
y=a*(x-3)^2-1,其中a大於0
又有:
7=a*(0-3)^2-1,解得:
a=8/9.則有:
此二次函數的解析式為:
y=8*(x-3)^2/9-1



已知二次函數的圖像經過點(0,-2),且當x=1時函數有最小值-3.(1)求這個二次函數的解析式;(2)如果點(-2,y1),(1,y2)和(3,y3)都在該函數圖像上,試比較y1,y2,y3的大小.


(1)由題意知:抛物線的頂點座標為(1,-3)設二次函數的解析式為y=a(x-1)2-3,由於抛物線過點(0,-2),則有:a(0-1)2-3=-2,解得a=1;囙此抛物線的解析式為:y=(x-1)2-3.(2)∵a=1>0,∴故抛物線的開口向上;∵抛物線的對稱軸為x=1,∴(1,y2)為拋物線的頂點座標,∴y2最小.由於(-2,y1)和(4,y1)關於對稱軸對稱,可以通過比較(4,y1)和(3,y3)來比較y1,y3的大小,由於在y軸的右側是增函數,所以y1>y3.於是y2<y3<y1.



已知二次函數的影像過點(2,7),且當x=-2時有最小值-1,則這個二次函數的解析式是


二次函數的影像過點(2,7),且當x=-2時有最小值-1,
設這個二次函數是
y=a(x+2)²;-1,且a(2+2)²;-1=7 16a=8 a=1/2
∴這個二次函數的解析式是
y=1/2(x+2)²;-1
即y=1/2x²;+2x+1



蘇教版九年級上册《數學創新課時練》答案





練習題(1)
在同圓或等圓中,相等的圓心角所對的弧相等,所對的弦也相等.
在同圓或等圓中,如果兩條弧相等,那麼他們所對的圓心角_________.所對的弦_______;
在同圓或等圓中,如果兩條弦相等,那麼他們所對的圓心角_________.所對的弧_______;


全部是相等的,不信你可以畫圖看.



誰能給一些定語從句的練習?我現在上國中
如果好的話我有重賞哦!
還有最好多一些是用“whose,whom”的題目,這是我的最最最弱項了!我上的是國中只要“that,who,which,whom,whose”這些答案的題目.


1、The people()you were talking to are Russians.
A that B who C which D whom
答案是A.
that用作介詞to的賓語,常省略.介詞to
緊隨動詞之後,不能放在that前面.
2、The man()I saw is called Bob.
A whom B whose C who D which
答案是C.
who用作賓語,代替whom,常省略,此處也可用that .
3、I'd like a room()window looks out over the sea.
A that B which C whose D whom
答案是C.
whose也可指物,在從句中用作定語
4、This is the man()I referred to.
A who B whose C whom D which
答案是C.
whom用作介詞to的賓語,介詞緊跟動詞之後.



國中定語從句練習


1.The place _______interested me most was the Children's Palace.
A. Which B. where C. what D. in which
3.This is the hotel _______last month.
A. which they stayed B. at that they stayed
C. where they stayed at D. where they stayed
4.Do you know the year ______the Chinese Communist Party was founded?
A. which B. that C. when D. on which
5.That is the day ______I'll never forget.
A. which B. on which C. in which D. when
6.The factory ______we'll visit next week is not far from here.
A. where B. to which C. which D. in which
8.This is one of the best films _______.
A. that have been shown this year B. that have shown
C. that has been shown this year D. that you talked
9.Can you lend me the book ______the other day?
A. about which you talked B. which you talked
C. about that you talked D. that you talked
10.The pen ______he is writing is mine.
A. with which B. in which C. on which D. by which
11.They arrived at a farmhouse,in front of ______sat a small boy.
A. whom B. who C. which D. that
12.The engineer ______my father works is about 50 years old.
A. to whom B. on whom C. with which D. with whom
13.It there anyone in your class ______family is in the country?
A. who B. who's C. which D. whose
14.I'm interested in ______you have said.
A. all that B. all what C. that D. which
15.I want to use the same dictionary ______was used yesterday.
A. which B. who C. what D. as
16.He isn't such a man ______he used to be.
A. who B. whom C. that D. as
17.He is good at English,______we all know.
A. that B. as C. whom D. what
18.Li Ming,______to the concert enjoyed it very much.
A. I went with B. with whom I went C. with who I went D.I went with him
19.I don't like ______as you read.
A. the novels B. the such novels C. such novels D. same novels
20.He talked a lot about things and persons ________they remembered in the school.
A. which B. that C. whom D. what
21.The letter is from my sister,______is working in Beijing.
A. which B. that C. whom D. who
22.In our factory there are 2000 workers,two thirds of ____are women.
A. them B. which C. whom D. who
23.You're the only person ______I've ever met ______could do it.
A. who;/ B./;whom C. whom;/ D./;who
24.I lost a book,______I can't remember now.
A. whose title B. its title C. the title of it D. the title of that
25.Last summer we visited the West Lake,______Hangzhou is famous in the world.
A. for which B. for that C. in which D. what
26.I have bought such a watch _______was advertised on TV.
A. that B. which C. as D. it
27.I can never forget the day _______we worked together and the day ______we spent together.
A. when;which B. which;when C. what;that D. on which;when
28.The way ______he looks at problems is wrong.
A. which B. whose C. what D./
29.This is the reason ______he didn't come to the meeting.
A. in which B. with which C. that D. for which
30.This machine,______for many years,is still working perfectly.
A. after which I have looked B. which I have looked after
C. that I have looked after D. I have looked after
31.The reason ______he didn't come was ______he was ill.
A. why;that B.that;why C. for that;that D.for which;what
32.He is working hard,______will make him pass the final exam.
A.that B.which C.for which D.who
33.That is not the way ______I do it.
A./ B.which C.for which D.with which
34.I have two grammars,______are of great use.
A. all of which B. either of which C. both of that D. both of which
35.I want to use the same tools _______used in your factory a few days ago.
A. as was B. which was C. as were D. which
36.My neigh bours used to give me a hand in time of trouble,_______was very kind of them.
A. who B. which C. that D. it
37.This is the magazine _______I copied the paragraph.
A. that B. which C. from that D. from which
38.He is not such a man _______would leave his work half done.
A. that B. which C. who D. as
39. You can depend on whatever promise _______he makes.
A. / B. why C. when D. whose
40. Smoking,_______is a bad habit,is,however,popular.
A. that B. which C. it D. though
41. --- Did you ask the guard _______happened?
--- Yes,he told me all _______he knew.
A. what;that B. what;what C. which;which D. that;that
42. I shall never forget those years _______I lived on the farm with
the farmers,_______has a great effect on my life.
A. when;who B. that;which C. which;that D. when;which
43. The number of the people who _______cars _______increasing.
A. owns;are B. owns;is C. own;is D. own;are
44. During the days ________,he worked as a servant at the Browns.
A. followed B. following C. to follow D. that followed
45. Is oxygen the only gas _______helps fire burn?
A. that B. / C. which D. it
46. The clever boy made a hole in the wall,_______he could see _____was going on inside house.
A. which;what B. through which;what C. through that;what D. what;that
47. Is _______some German friends visited last week?
A. this school B. this the school C. this school one D. this school where
48. John got beaten in the game,_______had been expected.
A. as B. that C. what D. who
49. I have bought two ballpens,_______writes well.
A. none of them B. neither of them C. neither of which D. none of which
50. All that can be eaten _______eaten up.
A. are being B. has been C. had been D. have been
參考答案及解析
1. A. which用作關係代詞,在定語從句中作主語.
2.C.“和誰講話”要說speak to sb.本題全句應為Do you know the man whom I spoke to..whom是關係代詞,作介詞to的賓語,可以省略.
3. D. where是關係副詞,表示地點,在定語從句中作地點狀語.
4. C. when是關係副詞,表示時間,在定語從句中作時間狀語.
5.A. which是關係代詞,在從句中作forget的賓語.其他幾個答案都不能作賓語.
6.C.解析同第5題.
7. A.解析見第3題.
8. A.本句話的先行詞應該是films,囙此,關係代詞that是負數概念,其謂語動詞應用複述的被動語態have been shown.如果句中的one前面使用了定冠詞the,則the one應該視為先行詞.
9. A.“談到某事物”應說talk about sth..about是介詞,其後要用which作賓語,不能用that.
10. A. with which是“介詞+關係代詞”結構,常用來引導定語從句.with有“用”的意思,介詞之後只能用which,不能用that. with which在定語從句中作狀語,即he is writing with a pen.
11. C. in front of which即in front of a farmhouse. In front of which在從句中作狀語.
12. D. with whom引導定語從句.with whom放在從句中即為:my father works with the engineer.
13. D. whose引導定語從句,在從句中作主語family的定語.
14. A. that引導定語從句,因為先行詞是all,所以只能選用that引導.
15. D. the same……..as是固定用法,as引導定語從句時,可以作主語,賓語或表語.在本句話中,as作從句的主語.
16. D. such………as是固定用法,as引導定語從句時,可以作主語,賓語或表語.在本題中,as作表語.
17. B. as作關係代詞可以單獨用來引導非限制性定語從句.這時as所指代的不是主句中某個名詞,而往往指代整個主句的含義.as在從句中可以作主語、賓語.從句可放在主句後,也可置於主句前.在本句中,as作賓語.
18. B. Li Ming enjoyed it very much是主句,with whom I went to the concert是定語從句.with wh