北京中医药大学《高等数学Z》平时作业3

adminhan

<img id="ODxbzbgTEMP20200515063727609.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODxbzbgTEMP20200515063727609.png?Expires=1904899047&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=4/FArevCzcA/jtP5FLrhtvQQvZM%3D" />
A:5/2
B:2/5
C:1
D:∞
E:0

函数<img id="ODsfttkTEMP20200515063728029.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODsfttkTEMP20200515063728029.png?Expires=1904899048&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=3pZTtUX1cP4wkKpTAkTtke9XAc4%3D" />在区间(-1,1)内（）
A:递减
B:递增
C:不增不减
D:先递增后递减
E:先递减后递增

设函数f(x)在[0,α]上二次可微，且xf^''(x)-f^'(x)&gt;0，则<img id="ODmmcitTEMP20200515063728330.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODmmcitTEMP20200515063728330.png?Expires=1904899048&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=KpBql/msGj7f3uVgqLe6Kofl6zI%3D" />在(0,α)内是（）
A:不增的
B:不减的
C:严格单调增加
D:严格单调减少
E:不增不减

函数y=sin x-x在区间[0,∏]上的最大值是（）
A:<img id="ODrcijeTEMP20200515063728470.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODrcijeTEMP20200515063728470.png?Expires=1904899048&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ISqznA1ZYhCHT3KZcX5yP2OrKlc%3D" />
B:0
C:-∏
D:∏
E:1

函数y=x³+4在区间(-1,1)内是（）
A:凹
B:凸
C:既有凸也有凹
D:直线段
E:凹凸不确定

如直线x=1是曲线y=f(x)的铅直渐近线，则f(x)是（）
A:<img id="ODgrdwiTEMP20200515063728614.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODgrdwiTEMP20200515063728614.png?Expires=1904899048&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=IWmvx0W0HqoVeJgFIeXczAkDecQ%3D" />
B:<img id="ODvrpjfTEMP20200515063728764.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODvrpjfTEMP20200515063728764.png?Expires=1904899048&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1q7uu4UPVi2fTllmUV47NxtaSyE%3D" />
C:<img id="ODwbsjwTEMP20200515063728911.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODwbsjwTEMP20200515063728911.png?Expires=1904899049&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9JVks8%2BrQ%2B30kuZO%2BYNISWDblF8%3D" />
D:<img id="ODweqmuTEMP20200515063729089.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODweqmuTEMP20200515063729089.png?Expires=1904899049&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Jy2UULCxFna2kRXQ/bT0MEe8hes%3D" />
E:<img id="ODefdhoTEMP20200515063729225.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODefdhoTEMP20200515063729225.png?Expires=1904899049&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DnKCwpzmS/%2Bixct5zQCklpw2h4g%3D" />

设函数f(x)在区间(a,b)上恒有f^'(x)&lt;0,f^''(x)&lt;0，则曲线f(x)在区间(a,b)上是（）
A:单调上升，凹
B:单调上升， 凸
C:单调下降，凹
D:单调下降，凸
E:单调上升，直线

下列论断中正确的是（）
A:导数不存在的点必是非极值点
B:驻点必是极值点
C:如在极值点处导数存在，则此极值点必是驻点
D:如驻点不是极值点，则不可导点必是极值点
E:驻点及导数不存在的点都是函数的极值点

下列函数极限问题中，不能用洛必达法则进行求解的是
A:<img id="ODqcigrTEMP20200515063729364.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqcigrTEMP20200515063729364.png?Expires=1904899049&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gbcRkHbOB2WPTE5VdZJYFOnVYx4%3D" />
B:<img id="ODudtuzTEMP20200515063729504.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODudtuzTEMP20200515063729504.png?Expires=1904899049&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Pu8hF3hN6tbZi1TD/HTqK0Sj%2Bdg%3D" />
C:<img id="ODcnatsTEMP20200515063729649.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODcnatsTEMP20200515063729649.png?Expires=1904899049&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=XpIQ9PaB58r2be0Sfw9Y3Rb881g%3D" />
D:<img id="ODazlbaTEMP20200515063729829.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODazlbaTEMP20200515063729829.png?Expires=1904899049&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2BTeyCLXto9ALPlGUSjhSWNL1CTc%3D" />
E:<img id="ODhpvtuTEMP20200515063729949.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhpvtuTEMP20200515063729949.png?Expires=1904899050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JGG/dSfwVueDcD73e%2B5F6UVa5U0%3D" />

<img id="ODskhgfTEMP20200515063730121.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODskhgfTEMP20200515063730121.png?Expires=1904899050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QNS3mfXhZUINY690EQlkaJbfbmQ%3D" />=（）
A:0
B:-1
C:∞
D:不存在
E:1

下列函数极限问题中，能用洛必达法则进行求解的是（）
A:<img id="ODvlggdTEMP20200515063730277.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODvlggdTEMP20200515063730277.png?Expires=1904899050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WiiFRxAqhWUf87/7Bn6Eyegd41k%3D" />
B:<img id="ODdpnlkTEMP20200515063730431.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODdpnlkTEMP20200515063730431.png?Expires=1904899050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JB0LzXE%2B6jYVrXPN84Q0LWEpj1I%3D" />
C:<img id="ODtbnfbTEMP20200515063730556.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODtbnfbTEMP20200515063730556.png?Expires=1904899050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ioY%2BfC4tBigEMllJE5G6di9qj2E%3D" />
D:<img id="ODtqyntTEMP20200515063730730.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODtqyntTEMP20200515063730730.png?Expires=1904899050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=xht1FfJPh08cs0TMsXOxa%2Br%2BChw%3D" />
E:<img id="ODlrnarTEMP20200515063730871.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODlrnarTEMP20200515063730871.png?Expires=1904899050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=KS8UQlcD8WM4ASqKhVJqETiBKBY%3D" />

若在区间(a,b)内两个函数f(x),g(x)的导数处处相等，则这两个函数在(a,b)内（）
A:相等
B:不相等
C:均为非零常数
D:均为零
E:仅相差一个常数

f^'(x₀)=0是可导函数f(x)在点x₀处取得极值的（）
A:充要条件
B:必分条件
C:无关条件
D:充分必要条件
E:等价条件

在下列符号中选用一个不等号，连接表达式|sin x-sin y|和|x-y|的是（）
A:≥<br>
B:≤<br>
C:&gt;<br>
D:&lt;<br>
E:=

f^'(x)&lt;0，x∈(a,b)是函数y=f(x)在(a,b)内单调减少的（）
A:必要条件
B:无关条件
C:充分必要条件
D:等价条件
E:充分条件

若f^'(x₀)=0,f^"(x₀)&lt;0，则函数f(x)在点x₀处（）
A:不一定有极大值
B:一定有极大值
C:没有极值
D:一定有极小值
E:不一定有极小值

曲线y=e^-x2+1有（）
A:一个拐点
B:没有拐点
C:三个拐点
D:四个拐点
E:两个拐点

<img id="ODmmhxwTEMP20200515063730997.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODmmhxwTEMP20200515063730997.png?Expires=1904899051&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=PUUUr9pPy24hZPqBllhasJKLiM0%3D" />=（）
A:2/3
B:1/2
C:1
D:-2/3
E:1/3

<img id="ODwzrtlTEMP20200515063731184.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODwzrtlTEMP20200515063731184.png?Expires=1904899051&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=fXqPvgLeO84P7NJoIWRSrQDX81k%3D" />
A:0
B:不存在
C:1/6
D:∞
E:1

设f(x)是a^x（a&gt;0,a≠1）的导函数，则f(x)=（）
A:a^x
B:a^xln a
C:<img id="ODpbabmTEMP20200515063731301.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODpbabmTEMP20200515063731301.png?Expires=1904899051&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8/yquUS/dGtaRRzpH1G/lxHqoS8%3D" />
D:∫a^xdx
E:a^xln x

∫e^xsin e^xdx=（）
A:<img id="ODezsyeTEMP20200515063731480.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODezsyeTEMP20200515063731480.png?Expires=1904899051&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=20gSQBMPiJrReD%2B7InXq1SgvwUM%3D" />
B:<img id="ODstkbxTEMP20200515063731599.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODstkbxTEMP20200515063731599.png?Expires=1904899051&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=xFuLMp75c2Wa7Pf625qGq6dvA%2B8%3D" />
C:cos e^x+C
D:-cos e^x+C
E:sin e^x+C

已知某商品生产x单位时总费用F(x)的变化率为f(x)=0.4x-6，且F(0)=60，则总费用函数F(x)=（）
A:0.4x²-6x
B:0.2x²-6x
C:0.2x²-6x+60
D:0.2x²-6x-60
E:0.4x²-6x+60

函数<img id="ODgmadyTEMP20200515063731779.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODgmadyTEMP20200515063731779.png?Expires=1904899051&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=lKEZY9zF8d71HId8/HkAPT145b0%3D" />的一个原函数为（）
A:<img id="ODorfhdTEMP20200515063731920.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODorfhdTEMP20200515063731920.png?Expires=1904899052&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=4GlKVpNPVCLM0Ffpln8X7awuFyc%3D" />
B:<img id="ODxyqloTEMP20200515063732086.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODxyqloTEMP20200515063732086.png?Expires=1904899052&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=6qLJc6nRy/EDhIaa%2BgiSCFQyOok%3D" />
C:<img id="ODzprvgTEMP20200515063732257.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODzprvgTEMP20200515063732257.png?Expires=1904899052&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pAKXIXygdBlxs2jtcL4UxwbsQ%2Bw%3D" />
D:<img id="ODvscjwTEMP20200515063732410.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODvscjwTEMP20200515063732410.png?Expires=1904899052&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=J3rU%2BzReInlkGVIKQi7eyO9yyvU%3D" />
E:<img id="ODlvppvTEMP20200515063732542.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODlvppvTEMP20200515063732542.png?Expires=1904899052&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WYgTCgqbTzT6huF1Zht1Kr5bo8I%3D" />

函数<img id="ODftswkTEMP20200515063732652.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODftswkTEMP20200515063732652.png?Expires=1904899052&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=dVpsrZ/nr%2BW08XH8Pcl9mNbRvsY%3D" />的原函数为（）
A:<img id="ODbgctyTEMP20200515063732827.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbgctyTEMP20200515063732827.png?Expires=1904899052&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DBWT5B2dvtGe5jKFwci0vEPJa7M%3D" />
B:2x³+x
C:<img id="ODnuuzqTEMP20200515063732962.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODnuuzqTEMP20200515063732962.png?Expires=1904899053&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=A5vO0SdwWkQfTME9ARuZY6C0Rm0%3D" />
D:<img id="ODncdgcTEMP20200515063733091.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODncdgcTEMP20200515063733091.png?Expires=1904899053&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=X/nJKW8p0y%2BH3Hj7TNT5H4lZvlo%3D" />
E:<img id="ODwlakwTEMP20200515063733233.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODwlakwTEMP20200515063733233.png?Expires=1904899053&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=S14IIYz5w7dlFdAYa7DqjsOMlXU%3D" />

下列函数中，原函数为log_akx(k≠0)的是（）
A:<img id="ODijncvTEMP20200515063733372.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODijncvTEMP20200515063733372.png?Expires=1904899053&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FLclX4hEVh2HXKLjX87EbuOtzbg%3D" />
B:<img id="ODewmfhTEMP20200515063733477.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODewmfhTEMP20200515063733477.png?Expires=1904899053&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=fTC03F%2BC5WE/MFSzG%2BA7BkAeiv4%3D" />
C:<img id="ODilpkpTEMP20200515063733622.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODilpkpTEMP20200515063733622.png?Expires=1904899053&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NwIFQX/GbvEAWMPTSN4CXZHTskY%3D" />
D:<img id="ODwyklbTEMP20200515063733799.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODwyklbTEMP20200515063733799.png?Expires=1904899053&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9AqvNauWT6YRGa7WWA0hbdUBVGk%3D" />
E:<img id="ODqkkczTEMP20200515063733943.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqkkczTEMP20200515063733943.png?Expires=1904899054&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GKIdGXiaaCt/8Bhgx2m5Fzf55/k%3D" />

若g(x)是f(x)的一个原函数，则（）
A:∫f^'(x)dx=g(x)+C
B:∫d^'(x)dx=f(x)+C
C:∫f(x)dx=g(x)+C
D:∫g(x)dx=f(x)+C
E:∫df(x)=g(x)+C

∫(arc sin x)^'dx=（）
A:arcsin x
B:<img id="ODpwcoaTEMP20200515063734071.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODpwcoaTEMP20200515063734071.png?Expires=1904899054&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=su0hpTdobdB0DoZHTfDp/gdNAYo%3D" />
C:<img id="ODmttzjTEMP20200515063734240.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODmttzjTEMP20200515063734240.png?Expires=1904899054&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7ek2wjhP6bkInHhsMLl6DXOMFwE%3D" />
D:arcsom x+C
E:<img id="ODwxyfkTEMP20200515063734405.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODwxyfkTEMP20200515063734405.png?Expires=1904899054&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ratIhgC9wPMbpbxT4PwbsSWC%2BYE%3D" />

设f(x)的一个原函数为x³，则∫f^'(x)dx=（）
A:x³+C
B:x²+C
C:x³
D:3x²
E:3x²+C

设f(x)的一个原函数为x²，则∫xf^'(1-x²)dx=（）
A:<img id="ODqjygrTEMP20200515063734559.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqjygrTEMP20200515063734559.png?Expires=1904899054&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WDNSutJF8/bkvSnWlbuak/trhBQ%3D" />
B:(1-x²)²+C
C:(x²-1)+C
D:2(1-x²)²+C
E:<img id="ODruhjpTEMP20200515063734704.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODruhjpTEMP20200515063734704.png?Expires=1904899054&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2BWThn7YW0xAPEVKFexgDyTXlmI4%3D" />

设csc²x是f(x)的一个原函数，则∫xf(x)dx=（）
A:xcsc²x+cot x+C
B:xcsc²x-cot x+C
C:-xcsc²x-cot x+C
D:-xcot x-cot x+C
E:-xcot²x-cot x+C

设f(x)可积，则∫df(x)=（）
A:f^'(x)+C
B:f^'(x)dx
C:f^'(x)
D:f(x)
E:f(x)+C

设f(x)=x^x，则(∫f(x)dx)^'=（）
A:x^x+C
B:x^x(1+ln x)
C:x^x
D:x^x(1+ln x)+C
E:(x^x+ln x)+C

在可积函数f(x)的积分曲线族中，任意二条曲线在横坐标相同点上的切线
A:与x轴平行
B:相互垂直
C:与y轴平行
D:相互平行
E:相交

设e^-x是f(x)的一个原函数，则∫xf(x)dx=（）
A:e^-x(x-1)+C
B:e^-x(x+1)+C
C:e^-^x(1-x)+C
D:-e^-x(x+1)+C
E:e^-x(x-1)

设[∫f(x)dx]^'=sin x，则f(x)=（）
A:sin x
B:sin x+C
C:cos x
D:cos x+C
E:-sin x

[∫cos x²dx]^'=（）
A:2xsin x²
B:-2xsin x²
C:cos x²
D:-sin x²
E:2xcos x²

设[f(x)]^'=sec²x，则f(x)=（）
A:tan x
B:cot x
C:2sec x
D:sec x tan x
E:1+tan² x

∫d∫df(x)=（）
A:f(x)
B:-f(x)+C
C:df(x)
D:f'(x)+C
E:f(x)+C

若F^'(x)=f(x)，则∫F^'(x)dx=（）
A:f(x)
B:f(x)+C
C:df(x)
D:F(x)+C
E:F(x)

∫(2+5x)¹⁰dx=（）
A:<img id="ODjeabaTEMP20200515063734867.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODjeabaTEMP20200515063734867.png?Expires=1904899054&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VHiTQzvm90dnVd1w1Kzc5R1k1vg%3D" />
B:<img id="ODxtwwgTEMP20200515063734974.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODxtwwgTEMP20200515063734974.png?Expires=1904899055&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ROPEkc0z/YnCt7EsbyUp7EOMqUg%3D" />
C:<img id="ODasgyhTEMP20200515063735170.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODasgyhTEMP20200515063735170.png?Expires=1904899055&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jjAfB5E0aUaetAeAPj%2BBIwFwARs%3D" />
D:<img id="ODhyvnkTEMP20200515063735303.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhyvnkTEMP20200515063735303.png?Expires=1904899055&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=fWuIb9SZkbe2A9Iv/iQ0e0ORI2o%3D" />
E:<img id="ODwxmixTEMP20200515063735453.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODwxmixTEMP20200515063735453.png?Expires=1904899055&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=l0KizTX%2BhiiQVm4kttAT/BnUdeg%3D" />

∫xdsin x=（）
A:xsin x+cos x+C
B:xsin x+x+C
C:xsin x+C
D:xsin x+sin x+C
E:xsin x-cos x+C

<img id="ODrbgvfTEMP20200515063735675.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODrbgvfTEMP20200515063735675.png?Expires=1904899055&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VuwhYzwwNtYLM4Bt7K68Md9qX68%3D" />（）
A:<img id="ODhrrhgTEMP20200515063735864.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhrrhgTEMP20200515063735864.png?Expires=1904899055&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=k1EY0w6nA%2ByQTDrIqM2J/UpUrs0%3D" />
B:<img id="ODxbqoiTEMP20200515063735987.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODxbqoiTEMP20200515063735987.png?Expires=1904899056&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=XmMnSQfloQhjuyQyZAUDfcM8fUE%3D" />
C:<img id="ODzwafgTEMP20200515063736175.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODzwafgTEMP20200515063736175.png?Expires=1904899056&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=iigugXOtXu%2By2RTx9oc6V6N/Ul4%3D" />
D:<img id="ODjawexTEMP20200515063736360.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODjawexTEMP20200515063736360.png?Expires=1904899056&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GCwKyPwkFDHd1TLwoYir6r4FbMs%3D" />
E:<img id="ODsltyuTEMP20200515063736491.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODsltyuTEMP20200515063736491.png?Expires=1904899056&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WsZ1pSutZp6kCq%2BZQsdl3T5kMCo%3D" />

<img id="ODrlepmTEMP20200515063736695.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODrlepmTEMP20200515063736695.png?Expires=1904899056&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=M9QiH3xQmyjM2XJr0mS8jTM1iF0%3D" />=（）
A:<img id="ODgvnxzTEMP20200515063736842.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODgvnxzTEMP20200515063736842.png?Expires=1904899056&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ev%2BEOHNwcut7h%2Bq/qIFg5NPwpOs%3D" />
B:ln|2+x^{&lt;3/sup&gt;|+C}
C:3ln|2+3^x|+C
D:<img id="ODbkuocTEMP20200515063736965.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbkuocTEMP20200515063736965.png?Expires=1904899057&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pnQ0pj15ALK1hAzxe8X%2B/tVqSAg%3D" />
E:<img id="ODkzndsTEMP20200515063737145.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODkzndsTEMP20200515063737145.png?Expires=1904899057&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Aj6J4ycjpUy/mVqwUz5vOIKrTSI%3D" />

若∫f(x)dx=e^x+x+C,则∫cosxf(sin x-1)dx=（）
A:e^{sin x-1}+sin x-1
B:e^{cos x-1}+cos x+C
C:e^{sin x-1}+sin+C
D:e^{cos x-1}+cos x-1+C
E:e^{sin x-1}+cos x+C

∫(2a)^xdx=（）
A:(2a)^x+C
B:2a^x+C
C:<img id="ODkumejTEMP20200515063737256.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODkumejTEMP20200515063737256.png?Expires=1904899057&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=uHKYXUcvwVTTUEUmuWlRpS1jdNs%3D" />
D:<img id="ODohdeiTEMP20200515063737507.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODohdeiTEMP20200515063737507.png?Expires=1904899057&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jqe/NVtlgWr8wpvxrkXv5tbIj/8%3D" />
E:<img id="ODqiphoTEMP20200515063737668.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqiphoTEMP20200515063737668.png?Expires=1904899057&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=g2C8gNsrKzpkZjI3qDgXb03wjG8%3D" />

∫sin²xcos xdx（）
A:<img id="ODwhgebTEMP20200515063737838.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODwhgebTEMP20200515063737838.png?Expires=1904899057&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GK8tgIP49ahDTgxD4eIYQBlRXGw%3D" />
B:sin³x+C
C:3sin³x+C
D:-3sin³+C
E:<img id="ODhlxdpTEMP20200515063737943.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhlxdpTEMP20200515063737943.png?Expires=1904899058&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=4%2B1nZ1JCqJ8HCuBZoQ1nhK7KDZc%3D" />

∫tan x(tan x-sec x)dx=（）
A:tan x-sec x+C
B:tan x-x-sec x+C
C:tan x-x+sec x+C
D:tan x+x-sec x+C
E:-tan x+x-sec x+C

<img id="ODaaiulTEMP20200515063738080.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODaaiulTEMP20200515063738080.png?Expires=1904899058&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=xWOrQ0qrvg8jg7FPMCva7CnegXg%3D" />=（）
A:<img id="ODodmmzTEMP20200515063738260.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODodmmzTEMP20200515063738260.png?Expires=1904899058&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=EJN4ylMdM2AnlzhwKD80EBjTvuI%3D" />
B:<img id="ODfmjlsTEMP20200515063738417.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODfmjlsTEMP20200515063738417.png?Expires=1904899058&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=A6l/YHevkh5EvEmg3PQdFPHhzxo%3D" />
C:<img id="ODhrtgwTEMP20200515063738567.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhrtgwTEMP20200515063738567.png?Expires=1904899058&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=p0%2B7Lvb/jEWKDXIlubkvO5BRrmk%3D" />
D:<img id="ODvwkwpTEMP20200515063738753.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODvwkwpTEMP20200515063738753.png?Expires=1904899058&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=IXEtdHG1ElYhXYNtz5Mq70TCaNM%3D" />
E:<img id="ODzssvnTEMP20200515063738932.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODzssvnTEMP20200515063738932.png?Expires=1904899059&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NEm/pFvsxsRlmNvbvEG46T7mT/4%3D" />

∫ln xdx=（）
A:xln x+1+C
B:xln x-x+C
C:xln x+x+C
D:ln x-x+C
E:ln x+x+C

设f(x)在[a,b]上连续，则f(x)在[a,b]上的平均值是（）
A:<img id="ODiuxcjTEMP20200515063739073.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODiuxcjTEMP20200515063739073.png?Expires=1904899059&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Ga7lvY4uK%2BbgqrcJdp5VPXe2pzg%3D" />
B:<img id="ODbohdmTEMP20200515063739214.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbohdmTEMP20200515063739214.png?Expires=1904899059&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TJMUWiLRlE41XIGEbefK8AyApio%3D" />
C:<img id="ODzlbtrTEMP20200515063739370.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODzlbtrTEMP20200515063739370.png?Expires=1904899059&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9SvL1skEQMSNDl9MqEk8QoZSI/o%3D" />
D:<img id="ODlpwaqTEMP20200515063739586.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODlpwaqTEMP20200515063739586.png?Expires=1904899059&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DkMLx4DHCvjwENSLquc2Ew3M0Ck%3D" />
E:<img id="ODhufxdTEMP20200515063739695.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhufxdTEMP20200515063739695.png?Expires=1904899059&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=F9iZOQRVKSyxvbZyl8b6fMujTjM%3D" />

下列各式中正确的是（）
A:<img id="ODtlobjTEMP20200515063739839.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODtlobjTEMP20200515063739839.png?Expires=1904899059&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jb%2BtH5qOcS3jR7xyEO3P2U84ru4%3D" />
B:<img id="ODgfjmdTEMP20200515063739971.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODgfjmdTEMP20200515063739971.png?Expires=1904899060&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=R8QLEbSt4vYEO8vlml%2BQPL1dA7A%3D" />
C:<img id="ODhvbkoTEMP20200515063740112.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhvbkoTEMP20200515063740112.png?Expires=1904899060&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2ZCRmVEMEpoBK%2BUvpB3KawDk/Cg%3D" />
D:<img id="ODsfhycTEMP20200515063740252.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODsfhycTEMP20200515063740252.png?Expires=1904899060&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Af9BkTpTQToIHABYjbVDNKk4Zfs%3D" />
E:<img id="ODeklhkTEMP20200515063740388.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODeklhkTEMP20200515063740388.png?Expires=1904899060&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=EG9Pnt5fj7HLd1OW4XJSh/b1oG0%3D" />

若<img id="ODljwchTEMP20200515063740535.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODljwchTEMP20200515063740535.png?Expires=1904899060&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=wQ4o7hOsLtIcfdIUbNOelpT1xu0%3D" />，则α=()
A:-1<br>
B:1<br>
C:0<br>
D:1/2<br>
E:2

设<img id="ODxftocTEMP20200515063740681.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODxftocTEMP20200515063740681.png?Expires=1904899060&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=e/%2BD18nS/rKmdNwF58mwraSzB10=">，则G^'(x)=（）
A:<img id="ODapfhdTEMP20200515063740844.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODapfhdTEMP20200515063740844.png?Expires=1904899060&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=NGTmlp/WozTzrbLj2iKxkgRqMh4%3D">
B:<img id="ODsqgdlTEMP20200515063740964.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODsqgdlTEMP20200515063740964.png?Expires=1904899061&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=AEGbR/FR/PoeKIsAWa5XPcTvosg%3D">
C:<img id="ODtkohvTEMP20200515063741124.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODtkohvTEMP20200515063741124.png?Expires=1904899061&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=bgiDXKH2iNjDldxxrKUbED5g5Io%3D">
D:<img id="ODqftybTEMP20200515063741296.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqftybTEMP20200515063741296.png?Expires=1904899061&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=QrYyje7xN5itmIqGKA5mdTBXzEk%3D">

<img id="ODbcrqjTEMP20200515063741455.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbcrqjTEMP20200515063741455.png?Expires=1904899061&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2yUGKjtPYvBVcaeU0behWs25H28%3D" />，则G^'(x)=（）
A:-3x²cos x³
B:-3x²sin x³
C:3x²cos x³+C
D:3x²sin x³+C
E:sin x³+C

设函数f(x)在[a,b]上连续，则下列等式中正确的是（）
A:<img id="ODzontgTEMP20200515063741570.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODzontgTEMP20200515063741570.png?Expires=1904899061&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Olfxf7PwGd0o0F1L5H/IADFUQXg%3D" />
B:<img id="ODftufcTEMP20200515063741739.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODftufcTEMP20200515063741739.png?Expires=1904899061&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=IujF/CBBs0ljt/qIglBugY8j2Cs%3D" />
C:<img id="ODfhfshTEMP20200515063741872.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODfhfshTEMP20200515063741872.png?Expires=1904899061&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BTFGl4exnFloqD/I9KgOgr24SeE%3D" />
D:<img id="ODipryjTEMP20200515063742013.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODipryjTEMP20200515063742013.png?Expires=1904899062&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=vnO/3eFPp8Wg%2BJ0DzgksyCjm7ds%3D" />
E:<img id="ODclmlmTEMP20200515063742151.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODclmlmTEMP20200515063742151.png?Expires=1904899062&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=fUr6NdF7mSWYgpyN3i9eVcFgZ4Q%3D" />

<img id="ODnabplTEMP20200515063742258.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODnabplTEMP20200515063742258.png?Expires=1904899062&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=e60hvgjLf5w/T1HTchaCmWR%2BkTI%3D" />（）
A:F(x)-F(α)
B:F(x-α)-F(α)
C:F(x)-F(0)
D:F(x-α)-F(0)
E:f(x)-f(α)

<img id="ODorgckTEMP20200515063742431.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODorgckTEMP20200515063742431.png?Expires=1904899062&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=F%2Bk5qloO5EW6rJqJ1ZNuEley7so%3D" />（）
A:4
B:-1
C:0
D:2
E:1

<img id="ODfdjniTEMP20200515063742564.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODfdjniTEMP20200515063742564.png?Expires=1904899062&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=5mpniWQWojhNCYraJVUDCsNFjqM%3D" />（）
A:0
B:1/2
C:2
D:3
E:-2

<img id="ODmewvzTEMP20200515063742678.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODmewvzTEMP20200515063742678.png?Expires=1904899062&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=U/Irih8aeHZVDNSZDM5sjre1XBQ%3D" />（）
A:∏
B:∞
C:2∏
D:不存在
E:∏/2

下列反常积分中收敛的是（）
A:<img id="ODbvgnsTEMP20200515063742823.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbvgnsTEMP20200515063742823.png?Expires=1904899062&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zdXCy9GqAckgUmhuD5TPGch0j0s%3D" />
B:<img id="ODzxhliTEMP20200515063742990.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODzxhliTEMP20200515063742990.png?Expires=1904899063&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7MRFjxr2HyNlaGP5xZLyerPfOPs%3D" />
C:<img id="ODmagdvTEMP20200515063743123.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODmagdvTEMP20200515063743123.png?Expires=1904899063&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7Fa0Aq3kxR%2BiN9tX%2BsnJE5lPor8%3D" />
D:<img id="ODitvwvTEMP20200515063743265.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODitvwvTEMP20200515063743265.png?Expires=1904899063&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2Bxi73WnkZ1gFDUJqQwfBqZud3sI%3D" />
E:<img id="ODeiknoTEMP20200515063743406.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODeiknoTEMP20200515063743406.png?Expires=1904899063&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FTLVPjwzX0Gf7J3Q10jaim%2BDb7M%3D" />

下列积分中正确的是
A:<img id="ODcrotnTEMP20200515063743535.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODcrotnTEMP20200515063743535.png?Expires=1904899063&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=c76YfN9I2iCPczT/diwq/5qA8dY%3D" />
B:<img id="ODqnajiTEMP20200515063743743.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqnajiTEMP20200515063743743.png?Expires=1904899063&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8DkUEjcRPbXNHv%2BexWhygIZvvck%3D" />
C:<img id="ODgqaibTEMP20200515063743900.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODgqaibTEMP20200515063743900.png?Expires=1904899064&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=r2t0sWYwfk6me0vWhlKiC1vRbuw%3D" />
D:<img id="ODncbwtTEMP20200515063744060.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODncbwtTEMP20200515063744060.png?Expires=1904899064&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gpC3zELQXC5C22CU49mkc2PrIaE%3D" />
E:<img id="ODpcnerTEMP20200515063744210.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODpcnerTEMP20200515063744210.png?Expires=1904899064&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=RakW8YTOWPQQgdWAHcZzgahw5dA%3D" />

设<img id="ODbdetwTEMP20200515063744394.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbdetwTEMP20200515063744394.png?Expires=1904899064&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=y2wmHfm%2BVeafxJjTHkwZNijh3AA%3D" />且f(0)=1，则f(x)=（）
A:<img id="ODbckjuTEMP20200515063744532.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbckjuTEMP20200515063744532.png?Expires=1904899064&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=/vU2ADUF9qMr54lGuTViqHPsS4k%3D" />
B:e^2x
C:<img id="ODjnktgTEMP20200515063744664.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODjnktgTEMP20200515063744664.png?Expires=1904899064&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=fX8M%2B98X9cHcdLrMdgNgGFZyUDk%3D" />
D:<img id="ODjmflgTEMP20200515063744806.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODjmflgTEMP20200515063744806.png?Expires=1904899064&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=cWWFGpfQzxwZtv6IKPKZLNFUbVI%3D" />
E:<img id="ODniropTEMP20200515063744951.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODniropTEMP20200515063744951.png?Expires=1904899065&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=i3hziT%2BnlzhViyUpjj8%2B2kxQnkc%3D" />

下列积分中，定积分值等于零的是（）
A:<img id="ODsduwvTEMP20200515063745080.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODsduwvTEMP20200515063745080.png?Expires=1904899065&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=M/BBUeiHE94lyWaYoqQtJyjUOL8%3D" />
B:<img id="ODeyaqcTEMP20200515063745212.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODeyaqcTEMP20200515063745212.png?Expires=1904899065&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yDWCfI5iDcnOkBtWsqMuNF581AU%3D" />
C:<img id="ODshkjrTEMP20200515063745341.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODshkjrTEMP20200515063745341.png?Expires=1904899065&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YWY8GD%2B8IThCRFjiql2C4gYjMfM%3D" />
D:<img id="ODtftjaTEMP20200515063745513.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODtftjaTEMP20200515063745513.png?Expires=1904899065&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=B6/fyQXKBvxTa3Om4nBCj4eOzFM%3D" />
E:<img id="ODpfsafTEMP20200515063745650.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODpfsafTEMP20200515063745650.png?Expires=1904899065&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rM/lJQ6DeSSbpUlIfeXNw8l0FLI%3D" />

<img id="ODuzemwTEMP20200515063745821.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODuzemwTEMP20200515063745821.png?Expires=1904899065&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=CfXOhCXXPJlXulvH1jY2AFxZ0LE%3D" />
A:2/3
B:3/2
C:2
D:1/2
E:1/3

设<img id="ODchncdTEMP20200515063746011.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODchncdTEMP20200515063746011.png?Expires=1904899066&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=B9dsqHNotNgI02NWT%2BItytgsytE%3D" />，则F^'(x)=（）
A:xe^x2
B:-xe^x2
C:xe^-x2
D:xe^-x2
E:2x²e^x2

<img id="ODzyfbtTEMP20200515063746177.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODzyfbtTEMP20200515063746177.png?Expires=1904899066&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=b8yZSIdTS9E9cCxzLLQjvyS0qz4%3D" />=（）
A:<img id="ODlrivqTEMP20200515063746328.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODlrivqTEMP20200515063746328.png?Expires=1904899066&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=saHbFqN7asvNB7ixZmxfpxmicyk%3D" />
B:<img id="ODruailTEMP20200515063746436.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODruailTEMP20200515063746436.png?Expires=1904899066&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jRguV1SZPRIFb5/C8XGT1lGIDPA%3D" />
C:0
D:2α
E:<img id="ODkggqzTEMP20200515063746609.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODkggqzTEMP20200515063746609.png?Expires=1904899066&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=SLaIrNh%2BkzSbNlJAag1GkZG1mHg%3D" />

<img id="ODtbstuTEMP20200515063746744.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODtbstuTEMP20200515063746744.png?Expires=1904899066&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=kLzJKin3apNzdJkF/R91WnIvq9g%3D" />=（）
A:12
B:6
C:0
D:4
E:2

<img id="ODqlfseTEMP20200515063746896.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqlfseTEMP20200515063746896.png?Expires=1904899067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ENuqWiFKESJKUiYLcVGD12fP9Ok%3D" />=（）
A:0
B:∏R²
C:<img id="ODebhjuTEMP20200515063747071.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODebhjuTEMP20200515063747071.png?Expires=1904899067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=afJeOldyG/6yyQ8EHbI1Sw%2BThCk%3D" />
D:<img id="ODfwizyTEMP20200515063747183.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODfwizyTEMP20200515063747183.png?Expires=1904899067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9BJ4Co75z7VWxZixWWWTi3%2BwUso%3D" />
E:∏/2

<img id="ODcvmymTEMP20200515063747374.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODcvmymTEMP20200515063747374.png?Expires=1904899067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=aszurjjZLL0JmignVRG6MV9WjKE%3D" />=（）
A:0
B:-1/2
C:1/2
D:∞
E:不存在

已知级数<img id="ODzbkrpTEMP20200515063747548.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODzbkrpTEMP20200515063747548.png?Expires=1904899067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=bmnBa%2BMBHWlV2PssQe3HIiIUElY%3D" />收敛，S_n是的前n项部分和，则级数的和为（）
A:s_x
B:<img id="ODbikgoTEMP20200515063747706.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbikgoTEMP20200515063747706.png?Expires=1904899067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7OLQJ3wIvD5jdYrW3ZC6kVm8UtU%3D" />
C:_n
D:<img id="ODzucycTEMP20200515063747864.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODzucycTEMP20200515063747864.png?Expires=1904899067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=oRe7sis8HJF06YeFC5bDV52Cu1Y%3D" />
E:<img id="ODddkwsTEMP20200515063748015.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODddkwsTEMP20200515063748015.png?Expires=1904899068&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Bk8urwGnUWSjM1DkLnXDRtKGe7A%3D" />

正项级数<img id="ODohosrTEMP20200515063748141.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODohosrTEMP20200515063748141.png?Expires=1904899068&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=j%2BJPorq3/zFm/sNpkU%2BTSaKWK1g%3D" />的部分和数列{s^x}是（）
A:单调增加
B:无界
C:有界
D:单调减少
E:不增且不减

<img id="ODtfeujTEMP20200515063748298.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODtfeujTEMP20200515063748298.png?Expires=1904899068&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=F3hfdasi70zlBKBz2kqry0rZJqM%3D" />
A:充分条件
B:必要条件
C:充分必要条件
D:无关条件
E:以上都不正确

级数<img id="ODsdzkiTEMP20200515063748449.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODsdzkiTEMP20200515063748449.png?Expires=1904899068&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=/Sqi6SELVjh6Wwg6hxF0v9H5Pog%3D" />的和是（）
A:5/9
B:1/3
C:2/9
D:不存在
E:1/5

级数<img id="ODdytqbTEMP20200515063748620.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODdytqbTEMP20200515063748620.png?Expires=1904899068&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=SiZo3CYEbO4z/Htla2Fi1jc1Ca4%3D" />的和是（）
A:2
B:1/2
C:1
D:不存在
E:∞

设<img id="ODmxkdyTEMP20200515063748744.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODmxkdyTEMP20200515063748744.png?Expires=1904899068&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FHPLcJmLMPTGLKmWXO%2BQJiInBkc%3D" />，则当n→∞时，u_x与α的差是（）
A:无穷小量
B:任意小的正数
C:常数
D:任意的正数
E:不存在

下列数列中收敛的是
A:(-1)^x3<br>
B:{n}<br>
C:<img id="ODibunfTEMP20200515063748931.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODibunfTEMP20200515063748931.png?Expires=1904899069&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Pb1DpXlQvujo4VGZwFSCYPE7cJE%3D" /><br>
D:<img id="ODqounxTEMP20200515063749049.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqounxTEMP20200515063749049.png?Expires=1904899069&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JSUqgFZf1QExfqT6LArhbyArwKA%3D" />

将f(x)=e^-3x展开成x的幂级数为（）
A:<img id="ODpfuxqTEMP20200515063749224.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODpfuxqTEMP20200515063749224.png?Expires=1904899069&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=kGAja9ekniI0EzK6/NOWWbg0PwM%3D" />
B:<img id="ODheernTEMP20200515063749355.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODheernTEMP20200515063749355.png?Expires=1904899069&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GfFjglz2K%2B9utnuQijJc3UjyCOc%3D" />
C:<img id="ODglorkTEMP20200515063749491.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODglorkTEMP20200515063749491.png?Expires=1904899069&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=OOnFanO%2Bs9hwoHalVXNJuJAcQoc%3D" />
D:<img id="ODtfzkuTEMP20200515063749659.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODtfzkuTEMP20200515063749659.png?Expires=1904899069&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DIPyUtnp1Aj%2B19JYUX31Ir28cUs%3D" />1

级数<img id="ODcmufrTEMP20200515063749821.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODcmufrTEMP20200515063749821.png?Expires=1904899070&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WtGmnsfn3AiAEnFeqMqmOdZqbA8%3D" />的和（）
A:0
B:-1
C:1
D:不存在
E:2

设<img id="ODeskvsTEMP20200515063750070.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODeskvsTEMP20200515063750070.png?Expires=1904899070&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=z0z0Ar0ukWTPcsX/SIEdvuFwQ0s%3D" />，则{xⁿ}收敛的条件是：（）
A:|p|&gt;1
B:0&lt;|p|&lt;1
C:p=1
D:p=-1
E:|p|≤1

<img id="ODhzzxsTEMP20200515063750239.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhzzxsTEMP20200515063750239.png?Expires=1904899070&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=32uoIpFGp5p1zbezD47quxyFLFQ%3D" />（）
A:<img id="ODbffycTEMP20200515063750401.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbffycTEMP20200515063750401.png?Expires=1904899070&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QYxzaRFtEj3iKb6hkJjeBJUsAWk%3D" />
B:<img id="ODkzvvcTEMP20200515063750518.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODkzvvcTEMP20200515063750518.png?Expires=1904899070&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=78d3%2BHpZ0UdGaI57ic4qpTCDG%2B4%3D" />
C:<img id="ODbdjgnTEMP20200515063750668.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbdjgnTEMP20200515063750668.png?Expires=1904899070&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=J7OYGiWs/ET6ukBQlmmio1eTuq8%3D" />
D:<img id="ODsvvstTEMP20200515063750833.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODsvvstTEMP20200515063750833.png?Expires=1904899070&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NnKrP/ycAmT4g/NKYY/ZUEU29dE%3D" />
E:<img id="ODipjcfTEMP20200515063750991.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODipjcfTEMP20200515063750991.png?Expires=1904899071&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=prZnSnY0IYZxrkZWPDxH1VrdDDI%3D" />

<img id="ODyustyTEMP20200515063751108.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODyustyTEMP20200515063751108.png?Expires=1904899071&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=D/DcU2DeLa9%2Bx/3TS2RV5ALfZcU%3D" />（）
A:1
B:e^x
C:yln y
D:ye^x
E:y

设<img id="ODvructTEMP20200515063751272.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODvructTEMP20200515063751272.png?Expires=1904899071&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=iCFC8PIIU4vjM4T7GDoth8qsPco%3D" />，则dz=（）
A:<img id="ODqueffTEMP20200515063751411.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqueffTEMP20200515063751411.png?Expires=1904899071&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=px3XYIcikZQ9kUEYUk3xEQy2jqw%3D" />
B:<img id="ODahzzmTEMP20200515063751563.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODahzzmTEMP20200515063751563.png?Expires=1904899071&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=LcLE5woYJXUOPjwqQF8xlOiBRcc%3D" />
C:<img id="ODihwtmTEMP20200515063751730.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODihwtmTEMP20200515063751730.png?Expires=1904899071&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=0b3tVYoFWrdBvhzGWjBpbhNRH50%3D" />
D:<img id="ODyhqlaTEMP20200515063751873.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODyhqlaTEMP20200515063751873.png?Expires=1904899071&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BGNGGYh6kJy0p5lfNftgQutUP0k%3D" />
E:<img id="ODvykqkTEMP20200515063752007.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODvykqkTEMP20200515063752007.png?Expires=1904899072&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=W4UzCszbm%2BtU7aI3f2pHF3q/TZg%3D" />

已知z=xln(x+y)，则<img id="ODxjispTEMP20200515063752124.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODxjispTEMP20200515063752124.png?Expires=1904899072&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=OQeJy0eczyVMNvxn/dJqzbj/NCw%3D" />=（）
A:<img id="ODoiymvTEMP20200515063752286.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODoiymvTEMP20200515063752286.png?Expires=1904899072&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ods8ODNW2OijpTV9h6qq5I%2B471s%3D" />
B:<img id="ODhrvbsTEMP20200515063752411.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhrvbsTEMP20200515063752411.png?Expires=1904899072&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Ajow65TbHaMfeRgaakKvCd6aLvE%3D" />
C:<img id="ODqicabTEMP20200515063752575.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqicabTEMP20200515063752575.png?Expires=1904899072&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GZnOVSQIA2WhVjvuDPeo2aqPwL0%3D" />
D:<img id="ODmgooaTEMP20200515063752708.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODmgooaTEMP20200515063752708.png?Expires=1904899072&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GqwhwdWwmsTFxcT3Y54NPQm3GuA%3D" />
E:<img id="ODymofvTEMP20200515063752861.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODymofvTEMP20200515063752861.png?Expires=1904899072&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=H6MNYEwfPpN6/rZmoXhIbX7rjhU%3D" />

已知μ=f(x²+y²+z²)，则=<img id="ODlavtjTEMP20200515063753009.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODlavtjTEMP20200515063753009.png?Expires=1904899073&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=i1UsbVvqUrEK8l8ocC7dE0PffSE%3D" />（）
A:4xyf(x²+y²+z²)
B:4xyf^"(x²+y²+z²)
C:2(x+y)f(x²+y²+z²)
D:2(x+y)f^'(x²+y²+z²)
E:(x+y)²f^'(x²+y²+z²)

二元函数f(x,y)=x²+xy+y²+x-y+1的驻点是（）
A:(1,-1)
B:(-1,-1)
C:(-1,0)
D:(-1,1)
E:(1,1)

已知D:{(x,y)|0≤x≤1,-1≤y≤1}，<img id="ODmkvgeTEMP20200515063753139.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODmkvgeTEMP20200515063753139.png?Expires=1904899073&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VB8i4VFxT0IDBqjhITxW7RG%2BJC4%3D" />=( )
A:1
B:-1
C:2
D:-2
E:4

点(2,-3,1)关于zox平面的对称点是（）
A:(2,-3,-1)
B:(2,3,1)
C:(2,3,-1)
D:(-2,-3,-1)
E:(-2,-3,1)

过点(1,-3,2)且与zox平面平行的平面方程（）
A:x-3y+2z=0
B:x=1
C:y=-3
D:x=2
E:x+2z=0

二元函数<img id="ODgpkytTEMP20200515063753270.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODgpkytTEMP20200515063753270.png?Expires=1904899073&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=KgMU42X6psdglq/ywSiVGkz74K0%3D" />的定义域为（）
A:|xy|≤1
B:x+y&gt;1
C:ln(x+y)≥0
D:x+y≠0
E:|x+y|≤1

函数<img id="ODhefadTEMP20200515063753411.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhefadTEMP20200515063753411.png?Expires=1904899073&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=28A5fxvLevYeJsNKTcPUmAXWYe4%3D" />的定义域是（）
A:{(x,y)|x+y&gt;0,x-y&gt;0}
B:{(x,y)|x&lt;-y,x&gt;y}
C:{(x,y)|x&gt;-y,x&lt;y}&lt; label=""&gt;&lt;/y}&lt;&gt;
D:{(x,y)|x&lt;-y,x&lt;y}&lt; label=""&gt;&lt;/y}&lt;&gt;
E:{(x,y)|x&lt;-y,x≠y}

函数<img id="ODaksngTEMP20200515063753586.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODaksngTEMP20200515063753586.png?Expires=1904899073&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=aDSBNceaI8Ho75iL01Z6DFllfJU%3D" />的定义域是（）
A:{(x,y)||y|&gt;|x|}
B:{(x,y)||y|&lt;|x|}
C:{(x,y)||y|≥|x|}
D:{(x,y)||y|≤|x|}
E:{(x,y)||y|=|x|}

已知<img id="ODebavhTEMP20200515063753722.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODebavhTEMP20200515063753722.png?Expires=1904899073&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YmZNFa4%2BtgUyBIATEhGxtolTuxc%3D" />，则z(1,-1)=（）
A:0<br>
B:1<br>
C:2<br>
D:-1<br>
E:-2

已知f(x+y,x-y)=x²-y²，则f(x,y)=（）
A:xy
B:x²-y²
C:x/y
D:x²+y²
E:x²+xy

设z=y^{sin x}，则<img id="ODdwjllTEMP20200515063753907.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODdwjllTEMP20200515063753907.png?Expires=1904899074&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ScnCfNQ4vLu%2BgMCPScCRIWceMvk%3D" />=（）
A:(sin x)y^sin^x-1
B:y^{sin x}ln x
C:y×y^{sin x-1}
D:y^{sin x}cos xln y
E:y^{sin x}ln sin x

设z=(1=xy)^y，则<img id="ODpqmbiTEMP20200515063754020.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODpqmbiTEMP20200515063754020.png?Expires=1904899074&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=55agqdrMIcrBRB8p99RIE7fjPuU%3D" />=（）
A:2
B:-1
C:-2
D:0
E:1

<img id="ODnnmmyTEMP20200515063754201.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODnnmmyTEMP20200515063754201.png?Expires=1904899074&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2vEi5JIx%2BZAwH5Tg59d7y0YKWJ0%3D" />（）
A:1/2<br>
B:1<br>
C:-1<br>
D:0<br>
E:2

二元函数z=5-x²-y²的极大值点是（）
A:(1,0)
B:(0,1)
C:(0,0)
D:(1,1)
E:(1,-1)

设z=ln(e^x+e^y),则<img id="ODkisbhTEMP20200515063754317.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODkisbhTEMP20200515063754317.png?Expires=1904899074&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BkZH8fdn%2Big7u15JwVJVUujdry4%3D" />=（）
A:<img id="ODqjgftTEMP20200515063754510.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODqjgftTEMP20200515063754510.png?Expires=1904899074&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pDxvngDl5DAfWO7xVe3DhPeg%2BZM%3D" />
B:<img id="ODbtaokTEMP20200515063754624.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODbtaokTEMP20200515063754624.png?Expires=1904899074&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9O1d%2BLSBxF9CMKU%2BNb1kvO2/CGs%3D" />
C:<img id="ODvivfkTEMP20200515063754801.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODvivfkTEMP20200515063754801.png?Expires=1904899074&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=bo/wyivU02x020dbzb1vTMr5xFs%3D" />
D:<img id="ODxaszdTEMP20200515063754942.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODxaszdTEMP20200515063754942.png?Expires=1904899075&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ZvfnDFz4viJ83xb8SU03uRQ5Bfg%3D" />
E:<img id="ODhdellTEMP20200515063755100.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODhdellTEMP20200515063755100.png?Expires=1904899075&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HYtDiT8P8zmA2mF%2BWGY/jFkQTa8%3D" />

设f(x,y)在点(x₀,y₀)处可微，且<img id="ODjnhkrTEMP20200515063755245.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODjnhkrTEMP20200515063755245.png?Expires=1904899075&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=kTLBxGNuB49Jrvr0gurO5jCGGCI%3D" />，则f(x,y)在点(x₀,y₀)处（）
A:必有极值
B:必有极小值
C:必有极大值
D:不一定有极值
E:无极值

设函数f(x,y)的驻点为<img id="ODesupuTEMP20200515063755395.png" src="http://oescdn.open.com.cn/zyglpt/OD/TEMP/2020/0515/ODesupuTEMP20200515063755395.png?Expires=1904899075&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=RJMLItkoU35buj7UaQA2j/kGQUc%3D" />，记△=B²-AC，则点为极小值点的充分条件是
A:△&lt;0,A&gt;0
B:△&lt;0,A&lt;0
C:△&gt;0,A&gt;0
D:△&gt;0,A&lt;0
E:△=0,A&lt;0