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1.
利用四维空间中的球:U^2 V^2 W^2 Z^2≤1/2π^2x^2,可以求出这个球内整点数A(x)的渐近公式:A(x)=1/2π^2x^2 O(x^3/2)。另一方面,利用不定方程U^2 V^2 W^2 Z^2=n的解数r(n)的表达式求出A(x)的另一个渐近公式,两个结果比较后得级数∞∑n=1 1/n^2的和为π^2/6。  相似文献   

2.
参考公式: 锥体的体积公式:V=1/3Sh,其中S是锥体的底面积,h是锥体的高. 球的表面积公式:S=4πR2,体积公式:V=4/3πR3,其中R为球的半径. 样本数据x1,x2,…xn的标准差s=√1/n[(x1--x)2+(x2--x)2+…+(xn--x)2],其中-x为样本平均数. 用最小二乘法求线性回归方程系数公式:(b)=n∑i=1xiyi-n-x·-y/n∑i=1x2i-n-x2,(a)=-y-b-x. 一、选择题 1.已知全集U=R,集合A={x|x=2n,n∈N}与B={x|x=2n,n∈N},则正确表示集合A、B关系的韦恩(Venn)图是().  相似文献   

3.
《中学数学月刊》2003,(7):44-47
参考公式 :如果事件 A,B互斥 ,那么 P(A+ B) =P(A) +P(B) .如果事件 A,B互相独立 ,那么P(A· B) =P(A)· P(B) .如果事件 A在一次试验中发生的概率是 P,那么 n次独立重复试验中恰好发生 k次的概率Pn(k) =Ckn Pk(1- P) n-k.球的表面积公式 S=4πR2 ,球的体积公式 V=43πR3 ,其中 R表示球的半径 .一、选择题 :本大题共 12小题 ,每小题 5分 ,共6 0分 .(1) 1- 3i(3+ i) 2 = (  )(A) 14 + 34i  (B) - 14 - 34i(C) 12 + 32 i  (D) - 12 - 32 i(2 )已知 x∈ (- π2 ,0 ) ,cos x=45 ,则 tan2 x=(  )(A) 72 4   (B) - 72 4   (C…  相似文献   

4.
参考公式 :如果事件A、B互斥 ,那么P(A +B) =P(A) +P(B) .如果事件A、B相互独立 ,那么P(A·B) =P(A) ·P(B) .如果事件A在一次试验中发生的概率是p ,那么n次独立重复试验中恰好发生k次的概率Pn(k) =Cknpk(1 -p) n-k.球的表面积公式S =4πR2 ,其中R表示球的半径球的体积公式V =43 πR3,其中R表示球的半径一、选择题 (本大小题共 1 2小题 ,每小题 5分 ,共 60分 .在每小题给出 4个选项中 ,只有一项是符合题目要求的 )1 .如果全集U =R ,A ={x| 2 相似文献   

5.
问题 1(a)将 8- 6x- x2表示为 a- (x+b) 2的形式并由此 (或者用其他方法 )求出 x为实数时函数 f(x) =8-6x- x2 的值域 .(b)若 f(x) =12 (2 x +2 -x)且 x>0 ,求 f-1 (x) .(c)解方程组 3x+7y=1 ,2 x2 +4y=3.问题 2(a)已知 sin(A+B) =2 sin(A- B) ,证明 tan A=3tan B.并由此求出当 A∈ (- π,π)时 ,方程 sin(A+30°)= 2 sin(A- 30°)的全部解 .(b)利用变量代换 y=8x,求满足方程 64x- 5(8x) +4=0的 x的精确值 .问题 3(a)某等比数列中 ,前 n项之和为 48,前 2 n项之和为 60 ,求这个数列的前 3n项之和 .(b)表达式 2 x3 +ax2 +bx+2能被 x+2整除…  相似文献   

6.
问题:求函数y=sin x cos x sin x cos x(x∈R)的最大值.解法1:y=sin x cos x sin x cosx2sin()1sin2=x π4 2x.当x π4=2kπ π2,即x=2kπ π4(k∈Z)时,2sin(x π/4)取得最大值2;当2x=2kπ π2,即x=kπ π4(k∈Z)时,sin2x/2取得最大值1/2;故当x=2kπ π/4(k∈Z)时,2sin(x π/4)  相似文献   

7.
第Ⅰ卷 (选择题 共 60分 )参考公式 :如果事件A ,B互斥 ,那么P(A +B) =P(A) +P(B)如果事件A ,B相互独立 ,那么P(A·B) =P(A) ·P(B)如果事件A在一次试验中发生的概率为P ,那么n次独立重复试验中恰好发生k次的概率Pn(k) =CknPk(1-P) n-k球的表面积公式S=4πR2 (其中R表示球的半径 )球的体积公式V =43πR3(其中R表示球的半径 )一、选择题 :本大题共 12小题 ,每小题 5分 ,共 60分 ,在每小题给出的四个选项中 ,只有一项是符合题目要求的 .1.已知集合P ={x|x2 -x<0 },Q ={x| 1x >1},则P、Q的关系是(A)P =Q   (B)P ∩Q =Φ(…  相似文献   

8.
参考公式 :三角函数的积化和差公式sinαcosβ =12 [sin(α+ β) +sin(α -β) ]cosαsinβ=12 [sin(α+ β) -sin(α-β) ]cosαcosβ =12 [cos(α + β) +cos(α-β) ]sinαsinβ =-12 [cos(α + β) -cos(α -β) ]正棱台、圆台的侧面积公式S台侧 =12 (c′+c)l,其中c′、c分别表示上、下底面周长 ,l表示斜高或母线长 .球的体积公式V球 =43 πR3,其中R表示球的半径一、选择题 (本大题共 12小题 ,每题 5分 ,共 60分 ,在每小题给出的 4个选项中 ,只有一项是符合题目要求的 )1.(文 )直线 y=2x关于x轴对称的直线方程为 (   )   (A) y=-1…  相似文献   

9.
参考公式:如果事件A、B互斥,那么P(A+B)=P(A)+P(B).如果事件A、B相互独立,那么P(A·B)=P(A)·P(B).如果事件A在一次试验中发生的概率是P,那么n次独立重复试验中恰好发生k次的概率Pn(k)=CknPk(1-P)n-k.球的表面积公式S=4πR2,其中R表示球的半径.球的体积公式V=43πR3,其中R表示球的半径.一、选择题(本大题共12小题,每小题5分,共60分)1.已知集合M={x|x2<4},N={x|x2-2x-3<0},则集合M∩N=()(A){x|x<-2}(B){x|x>3}(C){x|-1相似文献   

10.
三角变换离不开角 ,角的范围与三角函数的性质、三角函数值的大小和符号密切相关 ,忽视对角的范围的研究和讨论就会引起错误 .一、忽视角的范围引起的错误例 1 函数 y =tan x1- tan2 x 的最小正周期为(   )( A) π4 .  ( B) π2 .  ( C)π.  ( D) 2π.错解  f ( x) =tan x1- tan2 x=12 tan2 x∴函数的周期为 π2 ,选 B.剖析 :f ( 0 ) =0 ,f ( π2 )不存在 ,故函数的最小正周期不是 π2 ,错误原因在于忽视了函数的定义域 (角的范围 ) .函数 y =tan x1- tan2 x定义域为 {x|x≠ kπ +π2且 x≠ kπ± π4 ,k∈ Z}.函数 y =12 tan2 x…  相似文献   

11.
《海外英语》2007,(5):44-45
It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,  相似文献   

12.
一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/  相似文献   

13.
《海外英语》2007,(5):10-11
Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?  相似文献   

14.
《海外英语》2007,(4):36
There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.  相似文献   

15.
王菲 《华章》2007,(12):273-273
Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.  相似文献   

16.
裴水妹 《华章》2007,(11):196
Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.  相似文献   

17.
18.
1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…  相似文献   

19.
《海外英语》2007,(4):8-9
城堡, 是欧洲典型的建筑之一, 每个城堡都有一个美丽的传说或是一段历史。从本期开始, 我们将推出“城堡之旅”, 带各位读者去浏览、观赏欧洲各地的城堡, 开始一段文化与历史的旅途!  相似文献   

20.
During interview with English majors, it was found that a majority of students expressed disappointment with their experience of English literature classes. Students' dislike of learning English literature appears to be the major problem of teaching English literature in China. Reader response approach is a good way to solve this problem. In this paper, I explain the rationale behind the reader response approach, such as its origin, definition, features, assumptions, and strategies. Then I illustrate how reader response approach works as a teaching strategy by presenting several teaching models. At last I evaluate its usefuiness for teachers and present the advantages of reader response approach in Chinese context.  相似文献   

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