[Chongqing Guangdong education] higher mathematics I reference materials of Southwest Petroleum University

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- Advanced mathematics Ⅰ-1- Chapter materials, examination materials - Southwest Petroleum University 【】
Unit tests 1-1
1、【 Single topic selection 】 And functions y=x The consistent function is
A、
B、
C、y=sin(arcsinx)
D、y=arcsin(sinx)
E、
F、
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2、【 Single topic selection 】 set up f(x)=1-2x,g(f(x))=(1-x)/x , be
A、0
B、1
C、2
D、3
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3、【 Single topic selection 】 function yes
A、 Odd functions
B、 Even functions
C、 Non odd and non even functions
D、 Functions whose parity cannot be determined
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4、【 Single topic selection 】 function The period of is
A、
B、
C、
D、
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5、【 Single topic selection 】 Among the following functions, what is bounded within its definition domain is
A、
B、lnx
C、tanx
D、sin(1/x)
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6、【 Single topic selection 】 Known set ,, be
A、[1,3]
B、[3,5]
C、[5,6]
D、[1,6]
E、[2, 4]
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7、【 Single topic selection 】 The plural The real part of is imaginary 2 times , be The value of is
A、
B、
C、-2
D、2
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8、【 Single topic selection 】 Known hyperbola Right vertex and parabola of The focus coincides , be The value of is
A、1
B、2
C、3
D、4
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9、【 Single topic selection 】 If it's about The equation of stay There is a solution on the surface , be The range of phi is zero
A、(0, +∞)
B、[1, +∞)
C、[2, +∞)
D、[3, +∞)
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10、【 Single topic selection 】 Put function The image of is shifted to the left Unit length , The analytic expression of the image corresponding function obtained is , be The value of is
A、
B、
C、
D、
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11、【 Single topic selection 】 Known functions , be “ function The image of passes through points （,1）” yes “ function The image of passes through points （）” Of
A、 Sufficient and unnecessary conditions
B、 Necessary but insufficient conditions
C、 Sufficient and necessary conditions
D、 Neither sufficient nor necessary conditions
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12、【 Single topic selection 】 remember The plane area represented is , spot Origin , spot Is a straight line A moving point on ． If area There's something about it , bring , be The maximum value of is
A、1
B、
C、
D、2
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13、【 Single topic selection 】 If we gather , or , be
A、
B、
C、
D、
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14、【 Single topic selection 】 The plural The corresponding point on the complex plane lies in
A、 First quadrant
B、 Beta Quadrant
C、 The third quadrant
D、 Quadrant four
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15、【 Single topic selection 】 It is known that , And , Then the following inequality must be true
A、
B、
C、
D、
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16、【 Single topic selection 】 In the plane rectangular coordinate system in , horn With Is the starting edge , The final edge meets the unit circle at point , be The value of is
A、
B、
C、
D、
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17、【 Single topic selection 】 Set parabola Last point To The distance of the axis is be The distance to the focal point of the parabola is
A、1
B、2
C、3
D、4
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18、【 Single topic selection 】 set up The tolerance is Equal difference sequence of , For its former Xiang He , be “” yes “ Is an increasing sequence ” Of
A、 Sufficient and unnecessary conditions
B、 Necessary but insufficient conditions
C、 Sufficient and necessary conditions
D、 Neither sufficient nor necessary conditions
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19、【 Single topic selection 】 In the following functions , What is not an odd function is
A、
B、
C、
D、
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20、【 Single topic selection 】 In the following groups , function And The same thing
A、
B、
C、
D、
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21、【 Single topic selection 】 In the following functions , In the domain of definition, it increases monotonically 、 The bounded function is
A、
B、
C、
D、
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22、【 Single topic selection 】 In the following functions , The definition domain is , And monotonically increasing
A、
B、
C、
D、
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23、【 Single topic selection 】 function The domain of definition is
A、
B、
C、
D、
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24、【 Single topic selection 】 In the following functions , The domain of definition is , And the monotonically decreasing function is
A、
B、
C、
D、
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25、【 Single topic selection 】 Known functions , Then the definition domain of the function is
A、
B、
C、
D、
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26、【 Single topic selection 】 In the following groups of functions , The same function is
A、 and
B、 and
C、 and
D、 and
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27、【 Single topic selection 】 Let the following function be an increasing function in its domain of definition
A、
B、
C、
D、
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28、【 Single topic selection 】 Arctangent function The domain of definition is
A、
B、
C、
D、
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29、【 Single topic selection 】 The following functions are odd functions
A、
B、
C、
D、
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30、【 Single topic selection 】 function The composite process of is
A、
B、
C、
D、
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31、【 Single topic selection 】 The known definition domain is R Function of It's an odd function , be
A、1
B、0
C、2
D、-1
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32、【 Single topic selection 】 power function The image is too small , be The analytic expression of is
A、
B、
C、
D、
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33、【 Single topic selection 】 function ( And ) Constant over a fixed point
A、
B、
C、
D、
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34、【 Single topic selection 】 For definition in R The function on , There are four propositions ：（1） if , be Even function （2） if , be Not an odd function （3） if , be stay R It's an increasing function （4） if , be stay R Up is not a subtraction function, in which the number of correct propositions is
A、1
B、2
C、3
D、4
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35、【 Single topic selection 】 below finger 3 Bottom The logarithm of a true number , When when , Then the following size relationship is correct
A、
B、
C、
D、
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36、【 Single topic selection 】 function ,,, The image is shown in the figure below , be The order of size is
A、
B、
C、
D、
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37、【 Single topic selection 】 Let's set the function ,,, be be equal to
A、
B、
C、
D、
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38、【 Single topic selection 】 Give the following four propositions ：（1） The image of an odd function must pass through the origin （2） The image of an even function must pass through the origin （3） If the function It's even function , The function About straight lines symmetry （4） The symmetry of the definition field about the origin is a necessary condition for the function to have parity. The correct number is
A、1
B、2
C、3
D、4
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39、【 Single topic selection 】 Give the following proposition ：（1） if Is a period of the function , be （） It is also the period of the function （2） function Satisfy... On the domain , be Yes, the period is The periodic function of （1）（2） Whether it is right , The following statement is correct
A、（1） correct （2） correct
B、（1） correct （2） error
C、（1） error （2） correct
D、（1） error （2） error
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40、【 Single topic selection 】 The following four options are correct
A、 The image of an even function must be related to y Axis intersection
B、 The image of an odd function must pass through the origin
C、 The graph of even function is about y axial symmetry
D、 A function that is both an odd function and an even function must be f（x）=0（x∈R）
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2.3.3 Infinitesimal order and principal part
1、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_292.jpg> A、
B、
C、
D、
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2.4.1 Continuity and discontinuity
1、【 Judgment questions 】
A、 correct
B、 error
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Operation of continuous function
1、【 Single topic selection 】
A、
B、
C、
D、
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unit testing 2-1
1、【 Single topic selection 】 The following conclusion is correct （ ）
A、
B、
C、
D、
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2、【 Single topic selection 】
A、
B、
C、
D、
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3、【 Single topic selection 】
A、0
B、1
C、 non-existent , And infinite
D、 non-existent , But not infinite
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4、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_19.jpg> A、
B、
C、
D、
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5、【 Single topic selection 】
A、 Than sinx Infinitesimal quantities of higher order
B、 Than sinx Infinitesimal quantities of low order
C、 And sinx Infinitesimal quantities of the same order
D、 Can't be with sinx Infinitesimal quantity of comparison
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6、【 Single topic selection 】
A、 Sufficient and necessary conditions
B、 sufficient condition
C、 Necessary condition
D、 Neither sufficient nor necessary
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7、【 Single topic selection 】
A、2 A removable breakpoint ,1 Jump breakpoints
B、1 A removable breakpoint ,1 Jump breakpoints ,1 An infinite discontinuity
C、2 Jump breakpoints ,1 An infinite discontinuity
D、2 An infinite discontinuity ,1 A removable breakpoint
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8、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_284.jpg> A、2
B、-2
C、4
D、-4
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9、【 Single topic selection 】 On the continuity of functions , What's wrong is （ ）.
A、 Elementary functions are continuous in their defined intervals
B、 If function is continuous at one point , Then the limit of the function at this point must exist
C、 If function is continuous at one point , Then the function must have a definition at this point
D、 Continuous functions must have maximum and minimum values
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10、【 Single topic selection 】
A、
B、
C、
D、
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11、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_74.jpg> A、 An infinite number of
B、 Infinitesimal
C、 Any small positive number
D、 be equal to 0
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12、【 Single topic selection 】 The following conclusion is correct （ ）.
A、
B、
C、
D、
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13、【 Single topic selection 】 Unbounded sequence （　　）
A、 It must diverge
B、 Must converge
C、 Convergence and divergence cannot be determined
D、 It must be a monotonic sequence
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14、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_26.jpg> A、1
B、π
C、 non-existent
D、0
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15、【 Single topic selection 】
A、
B、
C、
D、
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16、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_116.jpg> A、 The first type of discontinuity
B、 The second kind of discontinuity
C、 There are both type I discontinuities and type II discontinuities
D、 The conclusion is uncertain
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17、【 Single topic selection 】
A、 Break point between jumps
B、 Go to the break point
C、 Infinite discontinuity
D、 Oscillation breakpoint
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18、【 Single topic selection 】
A、
B、
C、
D、
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19、【 Single topic selection 】
A、
B、
C、
D、
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20、【 Single topic selection 】
A、1/2
B、1
C、2
D、4
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21、【 Single topic selection 】 About infinitesimal , Inappropriate comments are （ ）.
A、 Infinitesimal quantity means that it converges to 0 The variable of
B、 As an infinitesimal number sequence, it must be a bounded number sequence , Otherwise
C、
D、
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22、【 Single topic selection 】 The following results are not tenable （ ）.
A、
B、
C、
D、
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23、【 Single topic selection 】
A、
B、
C、
D、
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24、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_286.jpg> A、
B、
C、
D、
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25、【 Single topic selection 】
A、 bounded
B、 unbounded
C、 There are maximum and minimum values
D、 Not necessarily bounded
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26、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_67.jpg> A、1 A removable breakpoint ,1 Jump breakpoints
B、1 A removable breakpoint ,1 An infinite discontinuity
C、2 Jump breakpoints
D、2 An infinite discontinuity
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27、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_238.jpg> A、1
B、-1
C、2
D、-2
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28、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_165.jpg> A、∞
B、1
C、e
D、1/e
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29、【 Single topic selection 】
A、
B、
C、
D、
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30、【 Single topic selection 】
A、 Monotony must be bounded
B、 bounded
C、 continuity
D、 With maximum
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31、【 Single topic selection 】
A、1
B、2
C、3
D、4
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32、【 Single topic selection 】
A、 No breakpoints
B、 There are discontinuities
C、 There are discontinuities
D、 There are discontinuities
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33、【 Single topic selection 】
A、 Infinite discontinuity
B、 Break point between jumps
C、 Go to the break point
D、 Continuous point
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34、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_255.jpg> A、 And Is an equivalent infinitesimal
B、 And Is an infinitesimal of the same order but not equivalent
C、 It's better than Infinitesimal quantities of higher order
D、 It's better than Infinitesimal quantities of low order
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35、【 Single topic selection 】
A、 An infinite number of
B、 Infinitesimal
C、 Bounded variables
D、 Unbounded variables
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36、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_10.jpg> A、 Infinitesimal
B、 An infinite number of
C、 Bounded but not infinitesimal
D、 Unbounded but not infinite
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37、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_30.jpg> A、 When Time is infinite
B、 stay There is a boundary inside
C、 stay Inner boundlessness
D、 When Sometimes there are limits
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38、【 Single topic selection 】
A、 Continuous point
B、 The first type of discontinuity
C、 Go to the break point
D、 The second kind of discontinuity
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39、【 Single topic selection 】 The following limits exist ( )
A、
B、
C、
D、
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40、【 Single topic selection 】
A、
B、
C、
D、
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41、【 Single topic selection 】
A、
B、
C、
D、
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42、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_0.jpg> A、①②③④
B、④③②①
C、④②①③
D、②③①④
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43、【 Single topic selection 】<img src="//img.inotgo.com/imagesLocal/202202/07/202202071738100649_127.jpg> A、0
B、1
C、2
D、3
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44、【 Single topic selection 】
A、 Go to 、 Go to
B、 jumping 、 jumping
C、 jumping 、 Go to
D、 Go to 、 jumping
E、 infinite 、 Oscillate
F、 Oscillate 、 infinite
G、 infinite 、 infinite
H、 Oscillate 、 Oscillate
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