數(shù)學(xué)建模模擬試題

./20XX數(shù)學(xué)建模競(jìng)賽試題注意事項(xiàng)〔請(qǐng)參賽隊(duì)員詳細(xì)閱讀！1.學(xué)院校數(shù)學(xué)建模競(jìng)賽于20XX6月29日8：00至7月1日20：00舉行。 2.參賽隊(duì)可在A、B兩題中任選其中一題,可以使用各種圖書(shū)資料、網(wǎng)絡(luò)信息、計(jì)算機(jī)和軟件以及各種實(shí)驗(yàn)手段。3.答卷論文請(qǐng)?zhí)峤籛ORD文檔方式的A4紙電子稿。并按下列要求制作。論文用白色A4紙單面打??；上下左右各留出至少2.5厘米的頁(yè)邊距；從左側(cè)裝訂。封面：只需填上所選論文題目〔注明A或B及參賽隊(duì)序號(hào),其他一律不要。首頁(yè)：論文題目、摘要〔含模型的主要特點(diǎn)、建模方法和主要結(jié)果。正文：?jiǎn)栴}提出、問(wèn)題分析、模型假設(shè)、符號(hào)說(shuō)明、模型建立、模型求解、計(jì)算方法設(shè)計(jì)和軟件實(shí)現(xiàn)、模型結(jié)果分析和檢驗(yàn)、模型優(yōu)缺點(diǎn)分析等。4、論文從第三頁(yè)開(kāi)始編寫(xiě)頁(yè)碼,頁(yè)碼必須位于每頁(yè)頁(yè)腳中部,用阿拉伯?dāng)?shù)字從"1"開(kāi)始連續(xù)編號(hào)。論文題目用三號(hào)黑體字、一級(jí)標(biāo)題用四號(hào)黑體字,并居中；二級(jí)、三級(jí)標(biāo)題用小四號(hào)黑體字,左端對(duì)齊〔不居中。論文中其他漢字一律采用小四號(hào)宋體字,行距用單倍行距,打印時(shí)應(yīng)盡量避免彩色打印。提請(qǐng)大家注意：摘要應(yīng)該是一份簡(jiǎn)明扼要的詳細(xì)摘要〔包括關(guān)鍵詞,在整篇論文評(píng)閱中占有重要權(quán)重,請(qǐng)認(rèn)真書(shū)寫(xiě)〔注意篇幅不能超過(guò)一頁(yè),且無(wú)需譯成英文。評(píng)閱時(shí)將首先根據(jù)摘要和論文整體結(jié)構(gòu)及概貌對(duì)論文優(yōu)劣進(jìn)行初步篩選引用別人的成果或其他公開(kāi)的資料<包括網(wǎng)上查到的資料>必須按照規(guī)定的參考文獻(xiàn)的表述方式在正文引用處和參考文獻(xiàn)中均明確列出。正文引用處用方括號(hào)標(biāo)示參考文獻(xiàn)的編號(hào),如[1][3]等；引用書(shū)籍還必須指出頁(yè)碼。參考文獻(xiàn)按正文中的引用次序列出,其中書(shū)籍的表述方式為：[編號(hào)]作者,書(shū)名,出版地：,出版年。參考文獻(xiàn)中期刊雜志論文的表述方式為：[編號(hào)]作者,論文名,雜志名,卷期號(hào)：起止頁(yè)碼,出版年。參考文獻(xiàn)中網(wǎng)上資源的表述方式為：[編號(hào)]作者,資源標(biāo)題,網(wǎng)址,訪問(wèn)時(shí)間〔年月日。5.競(jìng)賽評(píng)獎(jiǎng)以模型假設(shè)的合理性、建模的創(chuàng)造性、結(jié)果的正確性、文字表述的清晰程度為主要標(biāo)準(zhǔn)。 6.答卷〔電子稿務(wù)必于20XX7月1日20:00—22:00交到學(xué)院數(shù)學(xué)實(shí)驗(yàn)室東云或雷學(xué)紅老師處。學(xué)院數(shù)學(xué)建模領(lǐng)導(dǎo)小組20XX06月28日學(xué)院2012數(shù)學(xué)建模競(jìng)賽試題A題山地降水量附件1給出了某村寨地形分布數(shù)據(jù),附件2給出了該地30年雨量站資料。請(qǐng)你建立數(shù)學(xué)模型解決以下問(wèn)題1、流入該區(qū)域山谷的最大、最小、年均水量；2、給出高度z=700處的動(dòng)能；3、分別考慮植被完好和石漠化兩種情形對(duì)水量是否有影響,并給出理由。附件1：山地?cái)?shù)據(jù)z1000998.75995.00988.69979.80968.25953.94936.75916.52893.03x050100150200250300350400450y0000000000987.42825.32800.00759.93714.14661.44600.00526.78435.89312.255005506006507007508008509009500000000000z998.55997.95996.95995.54993.73991.51988.89985.85982.40978.52x50505050505050505050y20406080100120140160180200994.77994.18993.18991.77989.95987.72985.09982.04978.57974.68970.3610010010010010010010010010010010020406080100120140160180200220965.61960.42988.48987.88986.86985.44983.62981.38978.72975.65972.1610010015015015015015015015015015024026020406080100120140160180968.25963.90959.11953.87979.59978..98977.96976.52974.68972.42969.7415015015015020020020020020020020020022024026020406080100120140966.64963.12959.17954.78949.45944.67968.04967.42966.39964.94963.0720020020020020020025025025025025016018020022024026020406080100960.78958.07954.93951.37947.36942.92938.03932.68953.73953.10952.05250250250250250250250250300300300120140160180200220240260204060950.58948.68946.36943.61940.43936.80932.74928.22923.26917.8230030030030030030030030030030035080100120140160180200220240260936.54935.90934.83933.33931.40929.03926.23922.98919.29915.15910.5535035035035035035035035035035035020406080100120140160180200220905.48899.94916.30915.64914.54913.02911.04908.63905.76902.44898.6735035040040040040040040040040040024026020406080100120140160180894.43889.72884.53878.76893.25892.13891.01889.44887.41884.93881.9940040040040045045045045045045045020022024026020406080100120140878.58874.70870.34865.51860.17854.34865.79865.10863.94862.32860.2345045045045045045050050050050050016018020022024026020406080100857.67854.63851.12847.11842.61837.62832.11826.08834.93834.21833.01500500500500500500500500550550550120140160180200220240260204060831.32829.16826.50823.35819.70815.54810.86805.67799.94793.66799.755505505505505505505505505505506008010012014016018020022024026020798.99797.75795.99793.73790.95787.65783.84779.45774.60769.16763.15600600600600600600600600600600600406080100120140160180200220240756.57759.67758.88757.56755.71753.33750.41746.93742.90738.31733.1460065065065065065065065065065065026020406080100120140160180200727.39721.04714.07713.86713.02711.62709.65707.11703.99700.29695.9965065065070070070070070070070070022024026020406080100120140160691.09685.57679.41672.61665.13661.14660.98658.71656.58653.83650.4670070070070070075075075075075075018020022024026020406080100120646.45641.79636.47630.48623.78616.36608.19599.67598.67596.99594.6475075075075075075075080080080080014016018020022024026020406080591.61587088583.44578.27572.36565.69558.21549.91540.74800800800800800800800800800100120140160180200220240260附件2：某地30年雨量站資料年份年降雨量〔mm年最大降雨量〔mm>備注19801434.680.219811214.170.119821516.573.219831346.386.119841321.050.419851235.066.91986858.470.119871130.157.619881233.071.21989978.1106.819901329.595.419911272.171.519921159.359.519931355.8108.519941440.586.719951563.9183.419961187.575.819971348.053.619981303.2120.119991246.771.520001199.951.220011263.174.020021482.994.52003979.454.120041322.9124.32005880.775.120061102.662.920071204.267.520081281.891.52009852.5107.520101038.054.2學(xué)院2012數(shù)學(xué)建模競(jìng)賽試題B題煙霧警報(bào)器火災(zāi)中產(chǎn)生的煙霧引起窒息是導(dǎo)致人們?cè)诨馂?zāi)中意外死亡的一個(gè)主要原因。在所有致命的火災(zāi)中,有一半以上發(fā)生在晚上10時(shí)到第二天凌晨6時(shí)之間,因?yàn)檫@一時(shí)間段通常大家都在家里熟睡而無(wú)法感覺(jué)到煙霧。煙霧警