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IB MAI HL Geometry & Trigonometry Topic 3.4 Trigonometric Functions (id: 9fc6813

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admin 发表于 2024-2-15 22:06:07 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Geometry & Trigonometry Topic 3.4 Trigonometric Functions,类别为 IB数学

[填空题]
The temperature, T, in degrees Celsius, in Istanbul during a particular w-m .mc2rlf4s j t-)nwwinter/xbhwi -k /z1zv*fl8g day is modelled by the equatigxw1/v k l*/h 8-ibfzzon
T​=asin(b(t−c))+d,0≤t≤24,​where a,b,c,d∈R and t is the elapsed time, in hours, since midnight.
The graph of T versus t is shown below.




The lowest temperature was recorded at 3:30 am and the highest temperaturetemperature was recorded at 3:30 pm.
1.Write down the value of:
(1)a;  
(2)d.  
2.Find the value of b. ≈  
3.Find the smallest possible value of c, given c>0.
The temperature, T, in degrees Celsius, in Istanbul during a particular summer day is modelled by the equation
T​=5sin(0.262(t−8))+25,0≤t≤24,​where t is the elapsed time, in hours, since midnight. c =  
4.Find the time, in hours and minutes, when the temperature:
(1)reaches its maximum;
(2)first drops below $24^{\circ}C$.
5.The temperature is below $24^{\circ}C$ for ℎh hours and m minutes. Find
the value of h and the value of m. h =    m =  




参考答案:
空格1: 4±2%空格2: 6±2%空格3: 0.262±2%空格4: 9.5±2%空格5: 10±2%空格6: 28±2%


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