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A 题组新编
1.(胡寅年)(1)以一个正方体的顶点为顶点的四面体共有
A.70个B.64个C.58个D.52个
(2)以一个正方体的顶点为顶点的正四面体共有
A.2个B.8个C.16个D.24个
(3)以一个正方体的顶点为顶点的正三棱锥共有
A.8个B.10个C.16个D.24个
(4)以一个正方体的顶点为顶点的四个面都是直角三角形的三棱锥共有
A.12个B.24个C.36个D.48个
2.(胡寅年)(1)设f(x)是定义在(-∞,+∞)上的可导函数,且满足f'x+f(x)>0,对任意正实数a,下面不等式恒成立的是 相似文献
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《天府数学》1999,(12)
(适用于五年级)(本卷时间90分钟,总分160分,每小题10分) I.计算:1999 999 99 9=——. 2.计算:丢 { 丢 { 吉= 3.计算:102 97 29 65 98 203 35 91=——. 4.计算:1999×123= . 5.在下边的乘法算式中,每个口表示一个数字,那么计算所得的乘积应是——. 2口 !,量王 8口 口口口 口口口4 6.用一个l,一个2,一个3可组成若干个不同的三位数,这些三位数一共有——个. 7.在一本数学书中,有100个插图是平行四边形,其中80个是长方形,40个是菱形,那么这本书的插图中正方形有——个 8.已知正方形.ABCD的对角线长为10厘米,则它的面积为——. 9.在方框中填人… 相似文献
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我们知道,3个苹果放在2个抽屉里,必然有一个抽屉里有2个苹果.这是一个简单的事实,人们称其为抽屉原理.妙用抽屉原理,证明某些不等式,能起到比较神奇的效果.本文给出几个例子. 相似文献
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《上海中学数学》2006,(Z2)
一、选择题:共8小题,每小题5分,共40分.1.在复平面内,复数1i+i对应的点位于A.第一象限B.第二象限C.第三象限D.第四象限2.若a与b-c都是非零向量,则“a·b=a·c”是“a⊥(b-c)”的A.充分而不必要条件B.必要而不充分条件C.充分必要条件D.既不充分也不必要条件3.在1,2,3,4,5这五个数字组成的没有重复数字的三位数中,各位数字之和为奇数的共有A.36个B.24个C.18个D.6个4.平面α的斜线AB交α于点B,过定点A的动直线l与AB垂直,且交α于点C,则动点C的轨迹是A.一条直线B.一个圆C.一个椭圆D.双曲线的一支5.已知f(x)=l(o3gaa-x,1x)≥x+14a,x<1,… 相似文献
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Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from... 相似文献
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S. V. Kerov 《Journal of Mathematical Sciences》1988,41(2):995-999
The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986. 相似文献
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Yu. N. Lin'kov 《Journal of Mathematical Sciences》1991,53(4):409-415
We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987. 相似文献
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In this paper, we prove that any subreduct of the class of representable relation algebras whose similarity type includes
intersection, relation composition and converse is a non-finitely axiomatizable quasivariety and that its equational theory
is not finitely based. We show the same result for subreducts of the class of representable cylindric algebras of dimension
at least three whose similarity types include intersection and cylindrifications. A similar result is proved for subreducts
of the class of representable sequential algebras.
Received October 7, 1998; accepted in final form September 10, 1999. 相似文献
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Vladimir I. Arnold 《Functional Analysis and Other Mathematics》2009,2(2-4):151-164
Empirical study of the period’s length T of the continued fractions of $\sqrt{Q}$ (for growing integers Q) shows several strange asymptotical results, for instance, $T\leq C\sqrt{Q}\ln{Q}$ . These results show important differences between the statistics of the elements of the continued fractions of random real numbers and of square roots of random integers. 相似文献
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