函数模型及其应用 .ppt

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1、函数模型及其应用1.如何构建合适的函数模型？1.下表是某种车的车速与刹车后的停车距离。车速／km/h101530405060708090100停车距离／m471218253443546680（1）根据上表数据，建立车速和刹车后停车距离间的函数关系。思考、讨论：请根据你得到的模型，试解释为什么《中华人民共和国道路交通安全法》规定：机动车在高速公路上行驶，车速超过每小时100公里时，安全车距为100米以上；车速低于每小时100公里时，最小安全车距不得少于50米？你对高速公路管理部门有什么新的建议？2．SomeChemistrystudentsmeasu

2、redtheconcentrationofchlorineremaininginaswimmingpooloveraperiodof8hoursonahotsummerday.Chlorinehadbeenplacedinthepoolat8am.Theirresultswereasfollows.MorningAfternoonTime91011121234Chlorineconcentration(ppm)5.03.82.92.21.61.20.90.7a.Usethecalculatortofindtherelationshipbetween

3、thechlorineconcentrationandthetimeelapsedsincethechlorinewasplacedinthepool.b.What’stheconcentrationofchlorinehadbeenplacedat8am?LetTheconcentrationofchlorinehadbeenplacedis6.72ppm小结：1.如何构建合适的函数模型？步骤：1.画散点图2.利用相关系数判断模型的适用性越接近于1，模型越合适。3.写出函数解析式2.函数模型的应用Example．SomeChemistrystud

4、entsmeasuredtheconcentrationofchlorineremaininginaswimmingpooloveraperiodof8hoursonahotsummerday.Chlorinehadbeenplacedinthepoolat8am.Theirresultswereasfollows.MorningAfternoonTime91011121234Chlorineconcentration(ppm)5.03.82.92.21.61.20.90.71.Usethecalculatortofindtherelationsh

5、ipbetweenthechlorineconcentrationandthetimeelapsedsincethechlorinewasplacedinthepool.2.Usetheresultstofindtheconcentrationthatwouldbeneededat8amonasimilardaytoensurethatthechlorineconcentrationdidnotfallbelow1.5ppm(partspermillion)before3pm.3.Iftwochlorinedoseswereused,oneat8a

6、mandanotherat12noon,whatconcentrationswouldbeneededatthesetimestoensurethattheconcentrationdidnotfallbelow1.5ppmbefore3pm.4.Whataretheimplicationofyouranswersfortheeffectivechlorinationofpoolsatlowestcost?Example．SomeChemistrystudentsmeasuredtheconcentrationofchlorineremaining

7、inaswimmingpooloveraperiodof8hoursonahotsummerday.Chlorinehadbeenplacedinthepoolat8am.Theirresultswereasfollows.MorningAfternoonTime91011121234Chlorineconcentration(ppm)5.03.82.92.21.61.20.90.71.Usethecalculatortofindtherelationshipbetweenthechlorineconcentrationandthetimeelap

8、sedsincethechlorinewasplacedinthepool.2.Usetheresultstofindth