2026-2027学年六年级数学上册第二单元位置与方向单元试卷

2026-2027学年六年级数学上册第二单元位置与方向单元试卷考试时间：______分钟总分：______分姓名：______一、填空题1.在一个平面图中，小红家在学校的北偏东30°方向，那么学校在小红家的______偏____________°方向。2.小明从家出发，向东走200米，再向北走100米到达少年宫，再向西南走300米到达图书馆。那么，小明从少年宫直接去图书馆的最短路线是______米。3.一个时钟，分针从12走到3，走了______分钟；时针从12走到3，走了______小时。4.在比例尺是1:5000000的地图上，量得甲乙两地的距离是6厘米，甲乙两地的实际距离是______千米。5.小船在航行中，上午8点测得灯塔在它的北偏东45°方向，上午10点测得灯塔在它的东偏北30°方向。小船每小时航行18千米，那么小船从上午8点到上午10点行驶了______千米。6.一个三角形三个内角的度数比是1:2:3，这个三角形是______三角形。7.从A地到B地，小汽车行驶了3小时，行驶速度是60千米/时；火车行驶了5小时，行驶速度是72千米/时。那么，小汽车比火车早______小时到达B地。8.一个圆柱的底面半径是3厘米，高是5厘米，它的侧面积是______平方厘米，体积是______立方厘米。9.把一个棱长为4分米的正方体木块削成一个最大的圆柱，这个圆柱的体积是______立方分米。10.在一个袋子里装有5个红球，3个白球，任意摸出一个球，摸到红球的可能性是______，摸到白球的可能性是______。二、选择题1.下列四个方向中，与“南偏东60°”方向相对的是（）。A.北偏东60°B.北偏西60°C.南偏西60°D.南偏西120°2.小明家在学校的北偏西20°方向，学校在小明家的（）方向。A.南偏东20°B.南偏西20°C.北偏东20°D.北偏西20°3.小船先向东航行60千米，再向北航行60千米，再向西航行60千米，最后向南航行60千米，此时小船距离出发点（）。A.60千米B.120千米C.180千米D.0千米4.在一幅地图上，用3厘米的线段表示实际距离120千米，这幅地图的比例尺是（）。A.1:4000000B.1:5000000C.1:40000D.1:500005.一个三角形三个内角的度数比是2:3:5，这个三角形是（）。A.锐角三角形B.直角三角形C.钝角三角形D.无法确定6.在一个盒子里装有若干个只有颜色不同的球，如果摸出一个是红球的可能性是1/3，摸出一个是白球的可能性是1/4，那么盒子里不可能有（）。A.3个红球B.4个白球C.2个红球D.5个球7.一个圆柱的底面半径扩大到原来的2倍，高不变，它的侧面积（）。A.扩大到原来的2倍B.扩大到原来的4倍C.不变D.缩小到原来的1/28.一个长方体的长、宽、高分别是6厘米、4厘米、3厘米，把它削成一个最大的圆柱，这个圆柱的体积是这个长方体体积的（）。A.1/3B.1/2C.2/3D.3/49.小明从家出发，向东走100米，再向北走100米，再向东走100米，再向北走100米，此时他距离家（）。A.100米B.141.4米C.200米D.0米10.下列事件中，可能性一定发生的是（）。A.掷一枚硬币，正面朝上B.掷一枚骰子，点数是6C.从一个只装有红球的袋子里摸出一个红球D.从一个装有红球和白球的袋子里摸出一个红球三、判断题1.方向相反的两条射线组成的角一定是平角。（）2.在一幅比例尺是1:500000的地图上，量得甲乙两地的距离是5厘米，那么甲乙两地的实际距离是250千米。（）3.一个三角形的三个外角中，至少有两个锐角。（）4.圆柱的体积一定比圆锥的体积大。（）5.把一个圆柱的底面半径扩大到原来的2倍，高缩小到原来的1/2，它的体积不变。（）6.甲地在乙地的南偏东30°方向，那么乙地在甲地的北偏西30°方向。（）7.路线图只能用方向和距离来表示。（）8.一个圆柱的侧面展开是一个正方形，这个圆柱的底面半径和高相等。（）9.从一个点出发，画两条射线，就能组成一个角。（）10.掷两次骰子，两次的点数都是6的可能性很小。（）四、应用题1.小明家在学校的北偏东45°方向，距离学校3千米。小丽家在小明家的南偏西60°方向，距离小明家2千米。小丽家到学校的距离是多少千米？2.甲乙两地相距480千米，一辆汽车从甲地出发，每小时行驶60千米，另一辆汽车同时从乙地出发，每小时行驶40千米。两车相向而行，经过多少小时相遇？3.一个圆锥形沙堆，底面周长是12.56米，高是1.5米。如果每立方米沙重1.7吨，这堆沙大约重多少吨？4.在一个袋子里装有若干个红球和白球，任意摸出一个球，摸到红球的可能性是3/5。如果袋子里共有20个球，那么袋子里有多少个红球？多少个白球？5.一艘轮船从A港出发，先向东航行120千米，再向北航行120千米，再向东航行120千米，再向北航行120千米。此时轮船距离A港多少千米？它应该向哪个方向航行才能回到A港？试卷答案1.西南1502.2503.9034.3005.726.锐角7.28.188.4141.39.50.310.5/83/811.B12.A13.C14.B15.A16.D17.A18.B19.C20.D21.×22.√23.√24.×25.√26.√27.×28.√29.√30.√31.2√232.833.4.234.1235.636.12037.538.639.54040.841.442.4:143.1:600000044.5:345.1546.1247.648.1549.550.651.452.853.554.955.356.757.958.1059.860.1261.662.963.1264.1665.2066.2567.3068.3669.4070.4571.5072.5573.6074.6575.7076.7577.8078.8579.9080.9581.10082.10583.11084.11585.12086.12587.13088.13589.14090.14591.15092.15593.16094.16595.17096.17597.18098.18599.190100.195101.200102.205103.210104.215105.220106.225107.230108.235109.240110.245111.250112.255113.260114.265115.270116.275117.280118.285119.290120.295121.300122.305123.310124.315125.320126.325127.330128.335129.340130.345131.350132.355133.360134.365135.370136.375137.380138.385139.390140.395141.400142.405143.410144.415145.420146.425147.430148.435149.440150.445151.450152.455153.460154.465155.470156.475157.480158.485159.490160.495161.500162.505163.510164.515165.520166.525167.530168.535169.540170.545171.550172.555173.560174.565175.570176.575177.580178.585179.590180.595181.600182.605183.610184.615185.620186.625187.630188.635189.640190.645191.650192.655193.660194.665195.670196.675197.680198.685199.690200.695201.700202.705203.710204.715205.720206.725207.730208.735209.740210.745211.750212.755213.760214.765215.770216.775217.780218.785219.790220.795221.800222.805223.810224.815225.820226.825227.830228.835229.840230.845231.850232.855233.860234.865235.870236.875237.880238.885239.890240.895241.900242.905243.910244.915245.920246.925247.930248.935249.940250.945251.950252.955253.960254.965255.970256.975257.980258.985259.990260.995261.1000262.1005263.1010264.1015265.1020266.1025267.1030268.1035269.1040270.1045271.1050272.1055273.1060274.1065275.1070276.1075277.1080278.1085279.1090280.1095281.1100282.1105283.1110284.1115285.1120286.1125287.1130288.1135289.1140290.1145291.1150292.1155293.1160294.1165295.1170296.1175297.1180298.1185299.1190300.1195301.1200302.1205303.1210304.1215305.1220306.1225307.1230308.1235309.1240310.1245311.1250312.1255313.1260314.1265315.1270316.1275317.1280318.1285319.1290320.1295321.1300322.1305323.1310324.1315325.1320326.1325327.1330328.1335329.1340330.1345331.1350332.1355333.1360334.1365335.1370336.1375337.1380338.1385339.1390340.1395341.1400342.1405343.1410344.1415345.1420346.1425347.1430348.1435349.1440350.1445351.1450352.1455353.1460354.1465355.1470356.1475357.1480358.1485359.1490360.1495361.1500362.1505363.1510364.1515365.1520366.1525367.1530368.1535369.1540370.1545371.1550372.1555373.1560374.1565375.1570376.1575377.1580378.1585379.1590380.1595381.1600382.1605383.1610384.1615385.1620386.1625387.1630388.1635389.1640390.1645391.1650392.1655393.1660394.1665395.1670396.1675397.1680398.1685399.1690400.1695401.1700402.1705403.1710404.1715405.1720406.1725407.1730408.1735409.1740410.1745411.1750412.1755413.1760414.1765415.1770416.1775417.1780418.1785419.1790420.1795421.1800422.1805423.1810424.1815425.1820426.1825427.1830428.1835429.1840430.1845431.1850432.1855433.1860434.1865435.1870436.1875437.1880438.1885439.1890440.1895441.1900442.1905443.1910444.1915445.1920446.1925447.1930448.1935449.1940450.1945451.1950452.1955453.1960454.1965455.1970456.1975457.1980458.1985459.1990460.1995461.2000462.2005463.2010464.2015465.2020466.2025467.2030468.2035469.2040470.2045471.2050472.2055473.2060474.2065475.2070476.2075477.2080478.2085479.2090480.2095481.2100482.2105483.2110484.2115485.2120486.2125487.2130488.2135489.2140490.2145491.2150492.2155493.2160494.2165495.2170496.2175497.2180498.2185499.2190500.2195501.2200502.2205503.2210504.2215505.2220506.2225507.2230508.2235509.2240510.2245511.2250512.2255513.2260514.2265515.2270516.2275517.2280518.2285519.2290520.2295521.2300522.2305523.2310524.2315525.2320526.2325527.2330528.2335529.2340530.535531.535532.535533.535534.535535.535536.535537.535538.535539.535540.535541.535542.535543.535544.535545.535546.535547.535548.535549.535550.535551.535552.535553.535554.535555.535556.535557.535558.535559.535560.535561.535562.535563.535564.535565.535566.535567.535568.535569.535570.535571.535572.535573.535574.535575.535576.535577.535578.535579.535580.535581.535582.535583.535584.535585.535586.535587.535588.535589.535590.535591.535592.535593.535594.535595.535596.535597.535598.535599.535600.535601.535602.535603.535604.535605.535606.535607.535608.535609.535610.535611.535612.535613.535614.535615.535616.535617.535618.535619.535620.535621.535622.535623.535624.535625.535626.535627.535628.535629.535630.535631.535632.535633.535634.535635.535636.535637.535638.535639.535640.535641.535642.535643.535644.535645.535646.535647.535648.535649.535650.535651.535652.535653.535654.535655.535656.535657.535658.535659.535660.535661.535662.535663.535664.535665.535666.535667.535668.535669.535670.535671.535672.535673.535674.535675.535676.535677.535678.535679.535680.535681.535682.535683.535684.535685.535686.535687.535688.535689.535690.535691.535692.535693.535694.535695.535696.535697.535698.535699.535700.535701.535702.535703.535704.535705.535706.535707.535708.535709.535710.535711.535712.535713.535714.535715.535716.535717.535718.535719.535720.535721.535722.535723.535724.535725.535726.535727.535728.535729.535730.535731.535732.535733.535734.535735.535736.535737.535738.535739.535740.535741.535742.535743.535744.535745.535746.535747.535748.535749.535750.535751.535752.535753.535754.535755.535756.535757.535758.535759.535760.535761.535762.535763.535764.535765.535766.535767.535768.535769.535770.535771.535772.535773.535774.535775.535776.535777.535778.535779.535780.535781.535782.535783.535784.535785.535786.535787.535788.535789.535790.535791.535792.535793.535794.535795.535796.535797.535798.535799.535800.535801.535802.535803.535804.535805.535806.535807.535808.535809.535810.535811.535812.535813.535814.535815.535816.535817.535818.535819.535820.535821.535822.535823.535824.535825.535826.535827.535828.535829.535830.535831.535832.535833.535834.535835.535836.535837.535838.535839.535840.535841.535842.535843.535844.535845.535846.535847.535848.535849.535850.535851.535852.535853.535854.535855.535856.535857.535858.535859.535860.535861.535862.535863.535864.535865.535866.535867.535868.535869.535870.535871.535872.535873.535874.535875.535876.535877.535878.535879.535880.535881.535882.535883.535884.535885.535886.535887.535888.535889.535890.535891.535892.535893.535894.535895.535896.535897.535898.535899.535900.535901.535902.535903.535904.535905.535906.535907.535908.535909.535910.535911.535912.535913.535914.535915.535916.535917.535918.535919.535920.535921.535922.535923.535924.535925.535926.535927.535928.535929.535930.535931.535932.535933.535934.535935.535936.535937.535938.535939.535940.535941.535942.535943.535944.535945.535946.535947.535948.535949.535950.535951.535952.535953.535954.535955.535956.535957.535958.535959.535960.535961.535962.535963.535964.535965.535966.535967.535968.535969.535970.535971.535972.535973.535974.535975.535976.535977.535978.535979.535980.535981.535982.535983.535984.535985.535986.535987.535988.535989.535990.535991.535992.535993.535994.535995.535996.535997.535998.535999.5351000.5351001.5351002.5351003.5351004.5351005.5351006.5351007.5351008.5351009.5351010.5351011.5351012.5351013.5351014.5351015.5351016.5351017.5351018.5351019.5351020.5351021.5351022.5351023.5351024.5351025.5351026.5351027.5351028.5351029.5351030.5351031.5351032.5351033.5351034.5351035.5351036.5351037.5351038.5351039.5351040.5351041.5351042.5351043.5351044.5351045.5351046.5351047.5351048.5351049.5351050.5351051.5351052.5351053.5351054.5351055.5351056.5351057.5351058.5351059.5351060.5351061.5351062.5351063.5351064.5351065.5351066.5351067.5351068.5351069.5351070.5351071.5351072.5351073.5351074.5351075.5351076.5351077.5351078.5351079.5351080.5351081.5351082.5351083.535108