高中数学：求最值常用的24种方法

2022-03-05 01:33 来源：高考学习网本文影响了：4380人

最值问题一直是高中数学的重要内容之一,也是高考的热点问题.它综合性强,且在生产与生活中有这广泛的应用.因此,求最值问题是我们在高中阶段必须掌握的内容.下面结合具体例子来说明,不同条件下求最值的方法。

高中数学：求最值常用的24种方法

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基本文件流程错误 SQL 调试

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[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='21' ) LIMIT 1 [ RunTime:0.000168s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='15' ) LIMIT 1 [ RunTime:0.000154s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 9428 LIMIT 1 [ RunTime:0.000245s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='417' ) LIMIT 1 [ RunTime:0.000179s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='30' ) LIMIT 1 [ RunTime:0.000155s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 9425 LIMIT 1 [ RunTime:0.000248s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='417' ) LIMIT 1 [ RunTime:0.000173s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='30' ) LIMIT 1 [ RunTime:0.000154s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 9351 LIMIT 1 [ RunTime:0.000243s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='366' ) LIMIT 1 [ RunTime:0.000173s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='361' ) LIMIT 1 [ RunTime:0.000159s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 9349 LIMIT 1 [ RunTime:0.000242s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='394' ) LIMIT 1 [ RunTime:0.000173s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='386' ) LIMIT 1 [ RunTime:0.000156s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 9186 LIMIT 1 [ RunTime:0.000247s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='3' ) LIMIT 1 [ RunTime:0.000171s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='1' ) LIMIT 1 [ RunTime:0.000156s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 7232 LIMIT 1 [ RunTime:0.000245s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='387' ) LIMIT 1 [ RunTime:0.000174s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='386' ) LIMIT 1 [ RunTime:0.000153s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 7213 LIMIT 1 [ RunTime:0.000255s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='391' ) LIMIT 1 [ RunTime:0.000172s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='386' ) LIMIT 1 [ RunTime:0.000153s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 6998 LIMIT 1 [ RunTime:0.000243s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='374' ) LIMIT 1 [ RunTime:0.000179s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='370' ) LIMIT 1 [ RunTime:0.000156s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 5757 LIMIT 1 [ RunTime:0.000270s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='121' ) LIMIT 1 [ RunTime:0.000184s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='118' ) LIMIT 1 [ RunTime:0.000154s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 5213 LIMIT 1 [ RunTime:0.000245s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='2' ) LIMIT 1 [ RunTime:0.000179s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='1' ) LIMIT 1 [ RunTime:0.000154s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 3290 LIMIT 1 [ RunTime:0.000245s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='26' ) LIMIT 1 [ RunTime:0.000186s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='23' ) LIMIT 1 [ RunTime:0.000157s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 5292 LIMIT 1 [ RunTime:0.000243s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='367' ) LIMIT 1 [ RunTime:0.000180s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='361' ) LIMIT 1 [ RunTime:0.000155s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 1020 LIMIT 1 [ RunTime:0.000241s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='406' ) LIMIT 1 [ RunTime:0.000195s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='397' ) LIMIT 1 [ RunTime:0.000165s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 2388 LIMIT 1 [ RunTime:0.000255s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='369' ) LIMIT 1 [ RunTime:0.000186s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='361' ) LIMIT 1 [ RunTime:0.000160s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 5320 LIMIT 1 [ RunTime:0.000239s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='71' ) LIMIT 1 [ RunTime:0.000190s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='68' ) LIMIT 1 [ RunTime:0.000157s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 907 LIMIT 1 [ RunTime:0.000241s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='12' ) LIMIT 1 [ RunTime:0.000193s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='8' ) LIMIT 1 [ RunTime:0.000164s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 5545 LIMIT 1 [ RunTime:0.000257s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='366' ) LIMIT 1 [ RunTime:0.000176s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='361' ) LIMIT 1 [ RunTime:0.000154s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 3193 LIMIT 1 [ RunTime:0.000241s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='26' ) LIMIT 1 [ RunTime:0.000183s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='23' ) LIMIT 1 [ RunTime:0.000154s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 12035 LIMIT 1 [ RunTime:0.000239s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='62' ) LIMIT 1 [ RunTime:0.000183s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='61' ) LIMIT 1 [ RunTime:0.000155s ]
[ SQL ] SELECT `color`,`red` FROM `ims_product` WHERE `id` = 3254 LIMIT 1 [ RunTime:0.000260s ]
[ SQL ] SELECT * FROM `ims_classify` WHERE ( id='26' ) LIMIT 1 [ RunTime:0.000184s ]
[ SQL ] SELECT `pid` FROM `ims_classify` WHERE ( id='23' ) LIMIT 1 [ RunTime:0.000157s ]
[ SQL ] SELECT `beian` FROM `ims_webinfo` WHERE ( id='1' ) LIMIT 1 [ RunTime:0.000589s ]

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