No b

2. Proposition P: arbitrary x ∈ r, x 2+ 1 > 0, proposition Q: there is θ∈ r, sin 2 (θ)+cos 2 (θ) = 1.5,

Then the true proposition in the following propositions is A.P. ∧ Q B. Non-P. ∧ QC. Non-p∞QD. P. ∧ (not q)

Proposition p: any true proposition of x ∈ r, x 2+1> 0.

∫sin 2(θ)+cos 2(θ)= 1 holds.

∴ Proposition Q: There is θ∈ R, sin 2 (θ)+cos 2 (θ) =1.5, which is a false proposition.

∴ Non-Q is a true proposition

Answer D.p∧ (not q)

3. Among the following functions, the function that the even number monotonically increases at (0, +∞) is

a . y =- 1/x b.y=e^|x| c.y=-x^2+3

Answer: b.y = e | x |

4. If the set A={ 1, m 2}, b = {3 3,4}, "m = 2" is "a ∩ b" = {4} ".

A. Sufficient and unnecessary conditions B. Necessary and insufficient conditions C. Sufficient and necessary conditions D. Neither sufficient nor necessary

If m=2, then A={ 1, 4} = = =>；; A∩B={4}

If A∩B={4}, then m 2 = 4, = = > m= 2.

A. Sufficient and unnecessary conditions

5. It is known that the function f(x) is odd function, when x >; 0，f(x)= x( 1+x)； When x

A.-x( 1-x)b . x( 1-x)c .-x( 1+x)d . x( 1+x)

x & lt0，f(x)=-f(-x)=-(-x)[( 1+(-x)]= x( 1-x)

Answer: B.x( 1-x)

6. The monotonic increasing interval of the function y = 4x 2+( 1/x) is

A.(0，+∞)B.(-∞， 1)C.( 1/2，+∞)D.( 1，+∞)

Y' = 8x-1/x2 (8x3-1)/x2, so that y'>0 is x 3 >1/8 = >; x & gt 1/2

Answer: C.( 1/2, +∞)