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SAT官方每日一题附答案和解析[数学](2014年6月3日)

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答案:D

解析:

If the graph of the function , which contains the points (0,-9) (1,-4) and (3,0) were a line, then the slope of the segment connecting the points (0,-9) and (1,-4) would be the same as the slope of the segment connecting the points (1,-4) and (3,0). However, the slope of the segment connecting the points (0,-9) and (1,-4) is 5, and the slope of the segment connecting the points (1,-4) and (3,0) is 2. Therefore, the graph of f cannot be a line.

The statements in the other four options could be true. For example, if the equation of f were y=-(x-3)(x-3), then the graph of f would contain the points (0,-9),(1,-4) , and (3,0). The graph of f would be a parabola symmetric with respect to the line with equation x=3. The maximum value of f would occur at the point (3,0), and y<=0 would be true for all points (x,y) on the graph of f.

重点单词   查看全部解释    
symmetric [si'metrik]

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adj. 对称的,匀称的

 
equation [i'kweiʃən]

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n. 相等,方程(式), 等式,均衡

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segment ['segmənt]

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n. 部份,瓣,弓形
vt. 分割

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parabola [pə'ræbələ]

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n. [数]抛物线

 
graph [grɑ:f]

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n. 图表,示意图
vt. (以图表)表示

 
contain [kən'tein]

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vt. 包含,容纳,克制,抑制
vi. 自制

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function ['fʌŋkʃən]

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n. 功能,函数,职务,重大聚会
vi. 运行

 
slope [sləup]

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n. 倾斜,斜坡,斜面,斜线,斜率
vt. 使

 
multiple ['mʌltipl]

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adj. 许多,多种多样的
n. 倍数,并联

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关键字: 每日一题 SAT 数学

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