16.3 Calculation of Area 面积的计算 - 独中课程 | 线上补习

高二数学 | 高级数学

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16.3 Calculation of Area 面积的计算

Find the areas of the shaded portion of the following figures :
求下列各图像阴影部分的面积

Answer :

$4\frac{1}{3}$

Answer :

$2\frac{2}{3}$

Answer :

$3\frac{1}{12}$

Answer :

*** QuickLaTeX cannot compile formula:
\frac{5}{12}}

*** Error message:
Extra }, or forgotten $.
leading text: $\frac{5}{12}}

Answer :

$1\frac{1}{3}$

Answer :

$\frac{4}{3}(5-3\sqrt2)$

Answer :

$5\frac{1}{3}$

Answer :

$16\frac{1}{2}$

Answer :

$7\frac{1}{6}$

12.
The figure beside shows a curve $y=\frac{1}{x^2}$ . Line x = t separates the shade region bounded by $y=\frac{1}{x^2}$ , line x = 1, line x = 5, and x-axis into two equal area. Find the value of t.

如图所示一曲线 $y=\frac{1}{x^2}$ . 直线 x = t 把 $y=\frac{1}{x^2}$ , 直线 x = 1, 直线 x = 5, 和 x-轴所包围的区域分成两个相等的面积. 求 t 的值.

Answer :

$1\frac{2}{3}$