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韓山師院數(shù)信系數(shù)學(xué)與應(yīng)用數(shù)學(xué)專業(yè)《數(shù)學(xué)實(shí)驗(yàn)》實(shí)驗(yàn)報(bào)告班級(jí)學(xué)號(hào)姓名成績(jī)?cè)囼?yàn)內(nèi)容Matlab三維作圖程序設(shè)計(jì)試驗(yàn)類別自選試驗(yàn)試驗(yàn)時(shí)間2012-6-4試驗(yàn)問題:重金屬的空間分布的matlab程序(以金屬鋅為例)試驗(yàn)?zāi)康模孩僬莆誱atlab畫圖程序設(shè)計(jì)方法;用matlab作出重金屬鋅的空間分布圖;通過試驗(yàn),認(rèn)識(shí)matlab畫圖的妙處,掌握畫圖程序設(shè)計(jì)基本方法。問題分析(可含問題的背景、相關(guān)知識(shí)、數(shù)學(xué)建模與求解的方法等):?jiǎn)栴}背景:隨著城市經(jīng)濟(jì)的快速發(fā)展和城市人口的不斷增加,人類活動(dòng)對(duì)城市環(huán)境質(zhì)量的影響日顯突出。對(duì)城市土壤地質(zhì)環(huán)境異常的查證,以及如何應(yīng)用查證獲得的海量數(shù)據(jù)資料開展城市環(huán)境質(zhì)量評(píng)價(jià),研究人類活動(dòng)影響下城市地質(zhì)環(huán)境的演變模式,日益成為人們關(guān)注的焦點(diǎn)。按照功能劃分,城區(qū)一般可分為生活區(qū)、工業(yè)區(qū)、山區(qū)、主干道路區(qū)及公園綠地區(qū)等,分別記為1類區(qū)、2類區(qū)、……、5類區(qū),不同的區(qū)域環(huán)境受人類活動(dòng)影響的程度不同?,F(xiàn)對(duì)某城市城區(qū)土壤地質(zhì)環(huán)境進(jìn)行調(diào)查。為此,將所考察的城區(qū)劃分為間距1公里左右的網(wǎng)格子區(qū)域,按照每平方公里1個(gè)采樣點(diǎn)對(duì)表層土(0~10厘米深度)進(jìn)行取樣、編號(hào),并用GPS記錄采樣點(diǎn)的位置。應(yīng)用專門儀器測(cè)試分析,獲得了每個(gè)樣本所含的多種化學(xué)元素的濃度數(shù)據(jù)。另一方面,按照2公里的間距在那些遠(yuǎn)離人群及工業(yè)活動(dòng)的自然區(qū)取樣,將其作為該城區(qū)表層土壤中元素的背景值。數(shù)學(xué)建模與求解的方法:1導(dǎo)入數(shù)據(jù),由于數(shù)據(jù)過多,在此省去,詳細(xì)見試驗(yàn)過程中A的矩陣。并給xyz分別賦值:x=A(:,1);y=A(:,2);z=A(:,3);2運(yùn)用函數(shù)作圖scatter(x,y,5,z)%運(yùn)用scatter函數(shù)作散點(diǎn)圖figure[X,Y,Z]=griddata(x,y,z,linspace(1.486,4.271)',linspace(1.604,4.276),'v4');%運(yùn)用griddata函數(shù)進(jìn)行插值pcolor(X,Y,Z);shadinginterp%運(yùn)用函數(shù)pcolor作偽彩色圖figure,contourf(X,Y,Z)%運(yùn)用函數(shù)contourf作等高線圖figure,surf(X,Y,Z)%運(yùn)用函數(shù)surf作三維曲面3與已用excel做出取樣點(diǎn)位置及其所屬功能區(qū)圖進(jìn)行對(duì)比,找出適用的圖形,并進(jìn)行分析。試驗(yàn)步驟(根據(jù)問題分析及試驗(yàn)?zāi)康乃?jì)劃的試驗(yàn)步驟):1導(dǎo)入數(shù)據(jù)(見實(shí)驗(yàn)過程)2運(yùn)用函數(shù)作圖scatter(x,y,5,z)%運(yùn)用scatter函數(shù)作散點(diǎn)圖20r05W15;?蹈.30figure[X,Y,Z]=griddata(x,y,z,linspace(1.486,4.271)',linspace(1.604,4.276),'v4');%運(yùn)用griddata函數(shù)進(jìn)行插值pcolor(X,Y,Z);shadinginterp%運(yùn)用函數(shù)pcolor作偽彩色圖

figure,contourf(X,Y,Z)%運(yùn)用函數(shù)contourf作等高線圖figure,surf(X,Y,Z)%figure,contourf(X,Y,Z)%運(yùn)用函數(shù)contourf作等高線圖figure,surf(X,Y,Z)%運(yùn)用函數(shù)surf作三維曲面試驗(yàn)過程(含詳細(xì)試驗(yàn)步驟、程序清單及異常情況記錄等)8種重金屬的空間分布的matlab程序:(鋅元素為例)1.3730.73194.591.3211.791218.3701.787117.351.0492.127726.021.6472.728966.732.8833.617166.732.3833.6921417.862.7082.295926.842.9331.767100.414.2330.895102.654.0431.895223.162.4273.97189.083.5264.357853.985.0624.339494.804.7774.897602.045.8684.904389.806.5345.641307.245.4816.004380.924.5924.6031013.472.4865.999223.273.2996.0181818.473.5736.213429.294.7416.434186.225.3758.64346.845.6357.965311.025.3948.631182.655.2917.349253.164.7427.293175.714.9487.2931626.025.5676.782615.107.0046.226193.377.3045.23297.147.0484.6351638.184.496323.379.3284.3112893.479.095.365403.278.0495.439369.808.0776.401294.698.0177.21377.146.8697.286215.107.0568.348210.007.7478.26572.968.4578.991427.049.468.311538.98A=[0.0740.78172.359.0627.639186.339.3196.799208.0610.6316.472102.0410.6855.528196.7310.6434.472403.9811.7024.4892.5511.735.532275.8211.4826.354278.3710.78.184295.6110.638.774196.3311.6788.618242.0411.9027.709157.3513.2447.056141.0212.7468.45146.2212.8558.945102.8613.7979.6213760.8214.3258.66685.6115.4678.658122.9612.4424.329135.7113.0934.339155.0013.925.354218.2714.8445.519125.9216.5696.05582.9616.3876.609221.2216.0617.35278.9815.6587.594138.0614.2987.41862.2414.1776.684118.1615.0926.93682.8612.7785.799148.8817.04410.69132.8617.08711.93384.4917.07512.92447.7617.96212.823178.9818.41311.72189.0819.00711.48861.9418.73810.92163.2717.81410.70747.7618.13410.046182.0417.1989.81105.0017.1449.08184.0818.3939.18394.6919.7678.8140.9221.0068.81994.8021.0919.482163.2722.8469.14991.7323.6649.7963.8822.30410.52795.4121.41810.72182.7621.43911.38357.5520.55411.228104.9020.10110.77463.9821.07210.404157.2420.2159.951170.7118.99312.37167.2419.96812.96148.7821.76612.34889.4922.67412.17389.0822.53511.293100.1025.2215.79571.4326.4535.57743.3726.4166.508114.2927.8165.58155.7125.3616.42361.5324.0657.35358.4725.9987.03243.8827.1777.77164.0826.4248.63982.9626.0738.80752.4524.6319.42261.9424.7029.52278.3725.4619.83468.1624.81310.79957.8626.08611.09469.3926.01512.07892.2427.711.60974.9027.69611.62163.8827.34613.33179.1826.59113.71557.9627.82314.73796.5327.23214.48258.0624.5813.31969.9024.15312.4587.6522.96513.53599.4923.19813.523142.8624.68514.27861.4328.6548.75553.0624.00315.28651.5321.68413.10147.5522.19312.185229.8017.0795.89434.3915.2555.1154.2915.0075.53576.533.5182.571133.983.4692.30876.123.7622.17127.353.9272.11154.494.1532.2991389.393.2670.793118.984.6841.364110.925.4951.20549.905.6641.65384.595.5412.09365.615.4512.75763.574.022.99259.294.0263.913227.555.1014.08184.695.4383.994208.275.3823.012256.945.3142.06144.695.5031.127118.885.6360.133109.296.6050.37487.147.0931.381213.477.12.449138.886.8373.49399.907.9063.978334.398.0453.052540.008.3942.035172.658.4031.075171.848.0790171.129.6631.288165.109.4692.286103.889.1783.299115.419.0953.975230.4110.2253.821104.2910.212.78964.4910.341.764185.4111.5571.581315.9211.4152.585110.6111.6493.515147.3512.7344.015237.4512.6963.0241635.9212.42.06186.5312.5911.063177.7613.7651.353221.9413.6942.357349.8013.8553.345142.5514.8622.52484.8014.8961.603106.5315.3870.72969.8015.812.30780.0016.0323.06194.0815.8013.966104.1815.0873.51237.1416.8722.798101.7317.7343.62991.0216.8234.207115.2017.0084.77559.4917.2036.21881.7317.0057.21270.5116.9477.487104.9016.3018.29990.2017.9048.28753.5718.3037.38587.3518.4386.53947.2418.5565.58895.9218.9544.87487.0418.0124.41471.5319.0728.51960.0020.2828.5941.1221.4758.5453.2721.457.555106.4320.2617.58677.4519.5697.34841.6319.4116.93461.1219.5016.09159.9020.5826.54851.1219.9095.3101.8421.0185.76488.1622.1765.492108.4723.3595.325130.6123.2386.50282.1422.6244.818105.3121.7036.59169.805.0068.846293.165.7349.659358.276.39510.443457.967.40510.981303.068.44611.2241.637.61211.938192.657.91212.84170.108.86613.143170.009.29613.10251.639.47512145.519.21211.305177.868.62912.086178.577.77610.613100.418.62210.638204.089.2379.872247.048.3079.726254.807.1069.46756.336.4238.831208.377.4588.92230.118.9048.868447.8310.5479.591153.2710.39810.36204.8110.39511.203211.4711.52911.243184.6111.56310.298118.7011.6469.381209.5012.6419.5690.07148.9794.3414.2079.98117.8714.06510.98795.4812.73410.34457.6812.7277.691531.4514.17311.941388.6915.46712.0857.2715.1411.10192.4615.19810.181.0115.2489.106269.8916.4289.06995.1716.28910.07279.2416.26711.05881.4216.4412.068193.6716.4413.23284.8615.41212.98297.6714.26912.877162.8513.27713.204118.9113.17512.238188.8812.15312.33698.8111.95813.31370.1810.813.282321.1210.02212.204132.869.33314.631175.349.27716.148168.0511.12116.432125.1610.85614.727197.6312.64414.943218.2412.62516.259149.529.03617.53875.9110.59917.9895.6912.63217.949155.9814.40518.032172.5314.07416.516101.0014.26215.12953.1014.62414.00494.9616.62914.48183.1918.4714.411109.3320.59113.549121.6220.98315.86247.3820.17717.64292.3619.04115.76963.8318.90616.34644.6718.46717.00168.2017.41415.47665.7015.74815.728141.5015.51717.03483.4016.60717.36569.2415.95218.39784.2422.60514.30180.9023.14615.38271.0122.04617.63481.0123.78517.64361.6425.98118.05150.9227.3818.20238.2125.02116.2957.1623.32516.70147.5826.85216.11494.0217.98118.449103.5014.48212.692147.7514.31813.56946.8610.35217.133112.359.09516.414435.4410.5115.314117.6613.9545.61561.0210.1421.662121.2017.7653.56163.316.9245.696168.05TOC\o"1-5"\h\z4.6783.76556.236.1822.0

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