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We now consider an inequality of the formf_1(x)>f_2(x).Every numerical value x_0 taken from the domain ofadmissible values is called a solution of theinequality,if,when x_0 is substituted into both sidesof the inequality,the result is a true numericalinequality.All the solutions of an inequalityconstitute the solution set of the inequality.Forinstance,the inequality x~2<1 has for its solution setthe open interval(-1,1).Sometimes,for the sakeof brevity,we loosely say that the solution of the 相似文献
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本刊“英语数学”栏目自2004年5月开办以来,受到各地读者的关注和欢迎,栏目的内容对开展中学数学双语教学和提升教师的专业英语水平起到了积极的促进作用.为进一步增强本栏目的实用性,从本期起,我们将集中一段时间,紧密结合数学课本内容,刊发英语数学小短文,希望热心读者提供稿件并将您对栏目的要求和建议告诉我们. 相似文献
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The set of real numbers has the property of be-ing ordered:for any numbers a and b we have oneand only one of the these relations:a>b(a is greaterthan b),a=b,or ab means the difference a-b is positive;thenotation ab and c>d are said to have 相似文献
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If A and B are two sets,A is said to be a subsetof B if and only if every element of A is also anelement of B.The subset relation is indicated by thesymbolismAB(or BA)which is read“A is a subset of B”or“A is includedin B”or“B includes A”.It is clear from the definition that every set A isa subset of itself.It is important to know that theempty setis the subset of any set A:A.(Wewill explain it in the logic part)Two sets A and B are said to be equal if and 相似文献
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尧羽 《中学数学教学参考》2006,(19)
Proving inequalities means to establish that theinequality holds true for arbitrary admissible valuesof the parameters.Example 1:Prove that the absolute value of asum does not exceed the sum of the absolute values:|a+b|≤|a|+|b|.①Proof.The absolute value of the sum |a+b| isequal to a+b or to -(a+b).From the definition ofthe absolute value we havea≤|a|,b≤|b|and combining these inequalities termwise,we geta+b≤|a|+|b|.②In exactly the same manner,-a≤|a|,-b<|b| and-(a+b)≤|a|+|b|.③From the inequalities ②,③ and the definition of the 相似文献
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正弦定理在任何三角形中,边和对角的正弦成正比：
a/sin A=b/sin B=c sin C.
证明：令A、B和C是任意三角形的内角,并令a、b和c为它们的对边．我们考察两种三角形,一种是所有角都为锐角的三角形（图1（a））,另一种是有一个角为钝角的三角形,这里这个角为角A（图1（b））． 相似文献
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尧羽 《中学数学教学参考》2008,(17)
在xOy平面上给定两个不同的点;A_1(x_1,y_1)位置及A_2(x_2,y_2)。用点A把线段A_2A_2按比例λ_1:λ_2进行分割,求A点的坐标,假定线段A_1A_2不与x 相似文献
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尧羽 《中学数学教学参考》2007,(6):60-60
Certain elementary notions of geometry, such as the point, the straight line, and the plane, cannot be defined with the aid of other still more elementary concepts and they serve as the starting point in any exposition of geometry.[第一段] 相似文献
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(参考译文)有些物理量完全由它们的大小(用特定的单位)所决定,这类物理量的例子如叹,时,加仑,美元等.另外一些其方向和大小都是重要的量,例如力和速度,称为向量.定义1 一个向量是一个有向线段,由它的长度和方向所决定,它的实际位置并不重要.一个向量既表明方向又表明大小. 相似文献