Course Content
第四章:部分分式 Partial Fraction
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第六章:角的形成及单位 Angles and Measurements
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第十三章: 方程组 Simultaneous Equations
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第十五章:二元一次不等式及线性规划 linear inequality in two variables and linear programming
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高中一 | 高级数学
About Lesson
(1)
Find the domain of x \epsilon R such that the following statements are meaningful
在x \epsilon R,求使下列各式有意义的定义域。

(a) \sqrt{1-x}

(b) \sqrt[3]{2x-1}

(c) \sqrt[4]{2x-1}

(d) \sqrt{x^2+1}

(e) \sqrt{x^2-1}

(f) \sqrt[5]{1-x^2}

Answer 答案 :
(a)

*** QuickLaTeX cannot compile formula:
\xle1

*** Error message:
Cannot connect to QuickLaTeX server: cURL error 28: Connection timeout after 10001 ms
Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.)
These links might help in finding solution:
http://wordpress.org/extend/plugins/core-control/
http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37

(b) x \epsilon R
(c) x\geq\frac{1}{2}
(d) x \epsilon R
(e)

*** QuickLaTeX cannot compile formula:
\xle-1, x\geq1

*** Error message:
Cannot connect to QuickLaTeX server: cURL error 28: Connection timeout after 10000 ms
Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.)
These links might help in finding solution:
http://wordpress.org/extend/plugins/core-control/
http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37

(f) x \epsilon R

(2)
Calculate 计算

(a) \left(\sqrt[7]{2-x}\right)^7

(b) \sqrt[4]{81{(1+2x)}^4}

(c) \sqrt{25x^2-10x+1} \left(x>{\frac{1}{5} }\right) | Hint配方法

(d) \sqrt{25x^2-10x+1} \left(x<{\frac{1}{5} }\right)

(e) \sqrt[4]{\left(3p-2\right)^4}-\sqrt{\left(p+2\right)^2} \left(-2<p<\frac{2}{3}\right)

Answer 答案 :

(a) 2-x
(b) 3\left|1+2x\right|
(c) 5x - 1
(d) 1 - 5x
(e) -4p