设函数在[a,b]上连续,且(b)=a(a)=b=()A.a-bB. C.a<sup>2</sup>-b<sup>2</sup>D.
设函数<img src='https://img2.soutiyun.com/ask/2020-12-20/977344010190657.png' />在[a,b]上连续,且<img src='https://img2.soutiyun.com/ask/2020-12-20/977344026393584.png' />(b)=a<img src='https://img2.soutiyun.com/ask/2020-12-20/977344026393584.png' />(a)=b<img src='https://img2.soutiyun.com/ask/2020-12-20/977344041569452.png' />=()
A.a-b
B.<img src='https://img2.soutiyun.com/ask/2020-12-20/977344104229036.png' />
C.a<sup>2</sup>-b<sup>2</sup>
D.<img src='https://img2.soutiyun.com/ask/2020-12-20/977344116971765.png' />
时间:2023-02-14 14:48:41
-
设函数在(a,b)内连续,则在(a,b)内()。
A . f(x)必有界
B . f(x)必可导
C . f(x)必存在原函数
D . 必存在一点ξ∈(a,B.,使f(ξ)=0
-
设函数f(x)在区间[a,b]上连续,则当x在[a,b]上变化时,https://assets.asklib.com/source/1464942064703056773.gif是( ).
A . 确定的常数
B . 任意常数
C . f(x)的一个原函数
D . f(x)的全体原函数
-
设函数f(x)在区间[a,b]上连续,则下列结论中哪个不正确()?
A . ['['https://assets.asklib.com/psource/2015102710500625074.jpg
是f(x)的一个原函数B .https://assets.asklib.com/psource/2015102710500763586.jpg
是f(x)的一个原函数(aC .https://assets.asklib.com/psource/2015102710500950491.jpg
是-f(x)的一个原函数(aD . f(x)在[a,b]上是可积的
-
设函数f(x)在区间[a,b]上连续,则下列结论中哪个不正确?()
A . ['['https://assets.asklib.com/psource/2016071617335765172.jpg
是f(x)的一个原函数B .https://assets.asklib.com/psource/2016071617340092360.jpg
是f(x)的一个原函数C .https://assets.asklib.com/psource/2016071617340325668.jpg
是f(x)的一个原函数D . f(x)在[a,b]上是可积的
-
由莱布尼兹公式可知:若函数f(x)在[a,b]上连续,且存在原函数,则f在区间[a,b]上可积。()
-
设f(x)在[a,b]上连续,在(a,b)内可导,且f(a)=f(b)=0,试证在(a,b)内,一定存在f&39;(x)+kf(x)的零点
设f(x)在[a,b]上连续,在(a,b)内可导,且f(a)=f(b)=0,试证在(a,b)内,一定存在f&39;(x)+kf(x)的零点
-
设函数f(x)在[a,b]上连续,且f(x)>0,证明:在(a,b)内存在一个ξ,使得
设函数f(x)在[a,b]上连续,且f(x)>0,证明:在(a,b)内存在一个ξ,使得
<img src='https://img2.soutiyun.com/ask/2021-01-14/979465674691464.png' />
-
设非线性函数f(x)在[a,b]上连续,在(a,b)上可导,则在(a,b)上至少存在一点η,满足并说明它的几何
设非线性函数f(x)在[a,b]上连续,在(a,b)上可导,则在(a,b)上至少存在一点η,满足
<img src='https://img2.soutiyun.com/ask/2020-12-16/976958565155156.png' />
并说明它的几何意义.
-
已知函数f(x)在闭区间[a,b]上连续,且f(a)f(b)<0,请用二分法证明f(x)在(a,b)内至少有一个零点。
-
设函数f(x)及g(x)在区间[a,b]上连续,且f(x)≥g(x),那么[f(x)-g(x)]dx在几何上表示什么?
设函数f(x)及g(x)在区间[a,b]上连续,且f(x)≥g(x),那么<img src='https://img2.soutiyun.com/ask/2020-11-13/974109574095043.png' />[f(x)-g(x)]dx在几何上表示什么?
-
设(x)在[a,b]上连续,在(a,b)内可导且f'(x)≤0,证明在(a,b)内有F'(x)≤0.
设(x)在[a,b]上连续,在(a,b)内可导且f'(x)≤0,
<img src='https://img2.soutiyun.com/ask/2020-08-06/965576645302938.png' />
证明在(a,b)内有F'(x)≤0.
-
设f(x)在[a, b]上连续,在(a, b)内可导且f'(x)≤0,证明:在(a, b)内有F'(a)≤0
设f(x)在[a, b]上连续,在(a, b)内可导且f'(x)≤0,
<img src='https://img2.soutiyun.com/ask/2020-12-14/976805726019948.png' />
证明:在(a, b)内有F'(a)≤0
-
设f(x)在[a,b]上连续,且f(a)>0,f(b)<0,则下列结论中错误的是().A.至少存在一点x0∈(a,b
设f(x)在[a,b]上连续,且f(a)>0,f(b)<0,则下列结论中错误的是().
A.至少存在一点x0∈(a,b),使得f(x0)>f(a)
B.至少存在一点x0(a,b),使得f(x0)>/(b)
C.至少存在一点x0∈(a,b),使得f"(x0)=0
D.至少存在一点x0∈(a,b),使得f(x0)=0
-
设f(x)在[a,b]上连续,在(a,b)内可导,且f(a)=f(b)=0.证明:存在ξ∈(a,b),使f'(ξ)=f(ξ)成立.
-
设函数f(x)在区间[a,b]上连续,且f(x)≥0,那么 (x)dx在几何上表示什么?
设函数f(x)在区间[a,b]上连续,且f(x)≥0,那么<img src='https://img2.soutiyun.com/ask/2020-11-13/974109593488152.png' />(x)dx在几何上表示什么?
-
设f(x)在区间[a,b]上连续,g(x)在区间[a,b]上连续且不变号.证明至少存在一点x[a,b],使下式成立
设f(x)在区间[a,b]上连续,g(x)在区间[a,b]上连续且不变号.证明至少存在一点
x<img src='https://img2.soutiyun.com/ask/2020-12-04/97592702964699.png' />[a,b],使下式成立
<img src='https://img2.soutiyun.com/ask/2020-12-04/975927090499471.png' />
-
设f(x)在[a,b]上连续,且,求 .
设f(x)在[a,b]上连续,且<img src='https://img2.soutiyun.com/ask/2020-11-02/97316922162267.png' />,求<img src='https://img2.soutiyun.com/ask/2020-11-02/973169234274393.png' />.
-
设f(x)在[a,b]上连续,且a<c<d<b,证明:在[a,b]上必存在点ξ使 其中m>0,n>0.
设f(x)在[a,b]上连续,且a<c<d<b,证明:在[a,b]上必存在点ξ
使<img src='https://img2.soutiyun.com/ask/2021-01-12/979304261428851.png' />其中m>0,n>0.
-
设f(x,y)在[a,b;c,∞)上连续,且保持同一符号,y)dy在[a,b]上连续,证明:
设f(x,y)在[a,b;c,∞)上连续,且保持同一符号,<img src='https://img2.soutiyun.com/ask/2021-01-06/978797314201327.png' />y)dy在[a,b]上连续,证明:
<img src='https://img2.soutiyun.com/ask/2021-01-06/978797330365252.png' />
-
设f(t)在区间(a,b)上具有连续导数,.定义D上的函数。
设f(t)在区间(a,b)上具有连续导数,<img src='https://img2.soutiyun.com/ask/2021-01-28/980701134945681.png' />.定义D上的函数。
<img src='https://img2.soutiyun.com/ask/2021-01-28/980701153716755.png' />
<img src='https://img2.soutiyun.com/ask/2021-01-28/980701165529431.png' />
-
设函数f(x)在[a,b]上连续,a≤x<sub>1</sub><x<sub>2</sub><...<x<sub>n</sub>≤b,证明在[a,b]中必有ξ,使得
设函数f(x)在[a,b]上连续,a≤x<sub>1</sub><x<sub>2</sub><...<x<sub>n</sub>≤b,证明在[a,b]中必有ξ,使得
<img src='https://img2.soutiyun.com/ask/2020-12-15/976895957488208.png' />
-
设f(x)在[a,b]上连续,在(a,b)内可导且f'(x)≤0,证明在(a,b)内有F'(x)<0.
设f(x)在[a,b]上连续,在(a,b)内可导且f'(x)≤0,
<img src='https://img2.soutiyun.com/ask/2020-12-04/975925572077622.png' />
证明在(a,b)内有F'(x)<0.
-
设函数f(x),g(x)在[a,b]上连续,且f(a)>g(a),f(b)<g(b),证明在(a,b)内曲线y=f(x)与y=g(x)至少有一个交点。
-
设f(x)在[a,b](a<b)上连续,在(a,b)内可导且f’(x)>0,若f(b)<0,则在(a<b)内f(x)()。A.<0
B.>0
C.≤0
D.≥0
E.都不对