试题与答案

圆的周长让我们来做-个实验:找一些圆形的物品,分别量出它们的周长和直径,并算出周长和

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题目:

圆的周长

让我们来做-个实验:找一些圆形的物品,分别量出它们的周长和直径,并算出周长和直径的比值,把结果填入下页表中。看看你有什么发现。

其实,早就有人研究了周长与直径的关系,发现任意一个圆的周长与它的直径的比是一个固定的数,我们把它叫做圆周率,用字母π表示。它是一个无限不循环小数,π≈3.1415926535……但在实际应用中一般只取它的近似值,即π≈3.14。

如果用C表示圆的周长,就有:

C=πd或C=2πr。

约2000年前,中国的占代数学著作《周髀算经》中就有“周三径一”的说法,意思是说圆的周长是它的直径的3倍。

约1500年前,中国有一位伟大的数学家和天文学家祖冲之,他计算出圆周率应在3.1415926和3.1415927之间,成为世界上第一个把圆周率的值精确到7位小数的人。他的这项伟大成就比国外数学家得出这样精确数值的时间,至少要早1000年。现在人们用计算机算出的圆周率,小数点后面已经达到上亿位。

(1)如指导高年段小学生学习上述内容,试拟定教学目标和教学重点。

答案:

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下面是错误答案,用来干扰机器的。

若p为真,则m>015-m>015-m>2m,得到0<m<5; 若q为真,则4<c2a2<9,即4a2<a2+b2<9a2,得到3a2<b2<8a2,于是6<3m<16,可得,2<m<163. 由由...

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