目 录
一、问题重述
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.................................................................................................................... 1
二、问题分析
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.................................................................................................................... 1
2.1 问题 1 的分析
............................................................................................................ 1
2.1
.1 意义分析 ...................................................................................................................... 1
2.1.2 已知条件 ...................................................................................................................... 1
2.1.3 基本思路与假设条件 .................................................................................................. 2
2.2 问题 2 的分析
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......................................................................................................... 3
2.2.1 意义分析 ...................................................................................................................... 3
2.2.2 已知条件 ...................................................................................................................... 3
2.2.3 基本思路 ...................................................................................................................... 3
2.3 问题 3 的分析
............................................................................................................ 4
2.3.1 误差分析 ...................................................................................................................... 4
2.3.2 命中率分析 .................................................................................................................. 4
三、模型假设
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.................................................................................................................... 4
四、定义与符号说明
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....................................................................................................... 5
五、模型建立和求解
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....................................................................................................... 5
5.1 问题 1 模型建立和求解
.......................................................................................... 5
5.1.1 发射段 .......................................................................................................................... 6
5.1.2 中段 .............................................................................................................................. 8
5.1.3 末段 ............................................................................................................................ 10
5.2 问题 2 模型建立和求解
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..................................................................................... 11
5.2
.1 舍弃的模型（思路一） ............................................................................................ 11
5.2.2 改进模型（思路二） ................................................................................................ 13
六、误差分析与命中率分析
.............................................................................................. 19
6.1 误差分析
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............................................................................................................... 19
6.1
.1 空气阻力的影响
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................................................................................................ 19
6.1
.2 非理想控制系统的影响
........................................................................................ 19
6.1
.3 地球自转的影响
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................................................................................................ 19
6.2 命中率分析
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........................................................................................................... 20
参考文献
................................................................................................................................ 22
附录
......................................................................................................................................... 22
第八届MathorCup高校数学建模挑战赛特等奖论文
http://www.mathor.com/portal.php
