- 如果是方程的两个根，函数在上满足拉格朗日定理条件，那么方程在内（ ）
- 下列叙述正确的是( )
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- 微积分是由牛顿和莱布尼兹共同创立的。
- 下列广义积分发散的是（ ）
- 已知某产品的需求函数为 ，成本函数为C=100+10Q，则总利润最大时的产量为（ ）
- 设某产品的总产量的变化率为f(t)=10t-t2，那么t从t0=4到t1=8这段时间内的总产量为（ ）
- 将曲线y=x2与x轴和直线x=2所围成的平面图形绕y轴旋转所得的旋转体的体积可表示为Vy=（ ）
- 连续函数f(x)满足 .w69148020078s .brush0 { fill: rgb(255,255,255); } .w69148020078s .pen0 { stroke: rgb(0,0,0); stroke-width: 1; stroke-linejoin: round; } .w69148020078s .font0 { font-style: italic; font-size: 406px; font-family: "Times New Roman", serif; } .w69148020078s .font1 { font-size: 406px; font-family: "Times New Roman", serif; } .w69148020078s .font2 { font-size: 262px; font-family: "Times New Roman", serif; } .w69148020078s .font3 { font-size: 373px; font-family: Symbol, serif; } .w69148020078s .font4 { font-size: 530px; font-family: Symbol, serif; } .w69148020078s .font5 { font-weight: bold; font-size: 76px; font-family: System, sans-serif; } x x x f dt tx f sin ) ( ) ( 1 0 + = ò ，则f(x) =（ ）
- 某产品的边际成本为C¢(x)=2-x（万元/百台），固定成本为C0=22万元，边际收益R¢(x)=20-4x（万元/百台），则产量为（ ）时获得最大利润.（ ）
- 下列结果错误的是（ ）
- 设f′(lnx)=1+x，则f(x)=（ ）
- 下列计算结果不正确的是（ ）
- 设F(x)是f(x)在(-¥,+¥)上的一个原函数，且F(x)为偶函数，则f(x)是（ ）
- 若f¢(sin2x)=cos2x，则f(x)=（ ）
- 设商品的需求函数为Q=100-5p，其中p为价格，Q为需求量，如果商品需求弹性大于1，则商品价格的取值范围是（ ）
- 如果某种商品的需求价格弹性是2，要增加销售收益，则（ ）
- 下列哪种情况使总收益下降 （ ）
- 某商店每天向工厂按出厂价每件3元购进一批商品零售，若零售价定为4元，估计销售量为120件. 若每件售价每降低0.1元，则可多销售20件. 则该商店买进（ ）件，每件售价定为（ ）元时获得最大利润.（ ）
- 设函数y=f(x)具有二阶导数，且f¢(x)>0，f²(x)>0，Dx为自变量x在点x0处的增量，Dy与dy分别为f(x)在点x0处对应的增量与微分，若Dx>0，则（ ）
- 设两函数f(x)和g(x)都在x=a处取得极大值，则函数F(x)=f(x)g(x)在x=a处（ ）
- 欲建一个底面为正方形的蓄水池，使其容积为定值a，若池底单位面积造价是四壁单位面积造价的二倍，当底面边长为（ ）时，可使总造价最低．（ ）
- 欲围一个面积为150平方米的矩形场地，所用材料的造价其正面是每平方米6元，其余三面是每平方米3元，当场地的长为（ ）米、宽为（ ）米时，所用材料费最少.（ ）
- 设P(x)=a+bx+cx2+dx3，则当x®0时，若P(x)-tanx是比x3高阶的无穷小，则下列选项中错误的是（ ）
- 下列各式运用洛必达法则正确的是（ ）
- 下列函数中，满足拉格朗日定理条件的是（ ）
- 在区间[-1,1]上，满足罗尔中值定理条件的函数是（ ）
- 注水入深8m，上顶直径8m的正圆锥形容器中，其速率为4m3/min.当水深为4m时，其表面上升的速率为（ ）.
- 甲、乙两船同时从一码头出发，甲船以40km/h的速度向北行驶，乙船以30km/h速度向东行驶，则两船间的距离增加的速度为（ ）.
- 长方形的两边长分别以x与y表示，若x边以1cm/s的速度减少，y边以2cm/s的速度增加，则在x=20cm与y=15cm时，长方形面积的变化速度为（ ）.
- 半径为50cm的金属圆片加热后，半径伸长了0.05cm ，则面积增量的近似值为（ ）.
- 设函数f(x)可导，曲线y=f(x)在点（x0, f(x0)）处的切线与直线y=4-x垂直，则当Dx®0时，该函数在x=x0处的微分dy与Dx为（ ）无穷小.（ ）
- 设函数y=y(x)由方程ey+xy=e所确定，则y²(0)=（ ）
- 若y=f(x)是由方程sin(xy)+ey=2x确定的隐函数，等式两边求导得( )+eyy¢=2，括号里应填（ ）
- 设f(x)=x(x-1)(x-2)×××(x-99)，则f¢(0)=（ ）（ ）
- 设arcsiny=ex+y，则y¢=（ ）（ ）
- 设y=f(ex)ef (x)，则y¢=（ ）
- 设(cosx)y=(siny)x，则y¢=（ ）
- f(x)=ln(1+a-2x)，（a>0）则f¢(0)的值为（ ）
- 设f(x)满足等式f(1+x)=af(x)，f¢(0)=b，则f¢(1)=（ ）
- 设有一笔投资款A，年利率为r，如今有三个月、半年及一年存期等，如果一年内计息期数趋于无穷大，则10年后的本利和是（ ）
- 假设有一个登山者爱好者第一天早上8点从山脚开始上山，晚上18点到达山顶，第二天早上8点从山顶沿原路下山，下午18点到达山脚。猜想该登山者在上、下山过程中，（ ）同时经过同一地点.（ ）
- 下列有跳跃间断点x=0的函数为（ ）
- 设常数k1，则下列各式中正确的是（ ）
- 极限定义中的e与d之间的关系是（ ）
- 下列数列收敛的是（ ）
- 设{xn}是数列，下列命题中不正确的是（ ）
- 某批发商每次以120元/件的价格将100件衣服批发给零售商，在这个基础上零售商每次多进20件衣服，则批发价相应降低2元，批发商最大批发量为每次200件，则零售商每次进180件衣服时的批发价格是（ ）
- 已知土鸡蛋收购价为每千克15元，每月能够收购5000千克，若收购价每千克提高0.1元时，则可多收购500千克，则鸡蛋收购量Q与价格P之间的线性函数关系是（ ）
- 某商店进一批货物，若以每千克30元的价格向外批发，则最多可以出售40千克，当价格每降低1.2元时，则可多出售10千克，则销售量Q与价格P之间的函数关系是（ ）
- 设f(x)在(-¥,+¥)连续，下列为偶函数的是（ ）
- 函数f(x)的定义域为[0,1]，则f(x+a)的定义域为（ ）
- 如果函数f(x)的定义域为[1,2]，则函数f(x)+f(x2)的定义域为（ ）
- 下列各组函数中，表示相同函数的是（ ）
- 下列函数中，函数图形关于原点对称的是（ ）
- 设f(x)与g(x)都是(-¥,+¥)上的偶函数，h(x)是(-¥,+¥)上的奇函数，则（ ）中所给函数一定是奇函数.（ ）
- 下列数列为单调递增数列的有（ ）
- 设f(x)=x2，g(x)=2x，则f[g(x)]=（ ）
- 下列各项函数中，互为反函数的是（ ）
- 下列函数是偶函数的是（ ）
- 下列函数中不是基本初等函数的是（ ）
- 下列各组函数中表示相同函数是（ ）
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答案:3
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答案:极小值
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答案:0
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