优优班--学霸训练营 > 知识点挑题
全部资源
          排序:
          最新 浏览

          50条信息

            • 1.

              已知\(m∈R\),命题\(p:\)对任意实数\(x\),不等式\(x^{2}-2x-1\geqslant m^{2}-3m\)恒成立,若\(

            • 2.

              若命题“\(∃x∈R\),使得\(\sin x\cos x > m\)”是真命题,则\(m\)的值可以是(    )

              A.\(- \dfrac{1}{3}\)
              B.\(1\)

              C.\( \dfrac{ \sqrt{3}}{2}\)
              D.\( \dfrac{2}{3}\)
            • 3.

              命题“\(\exists x > 0\),\(x^{2}-2x-3\leqslant 0\)”的否定是


              A.\(\exists x > 0\),\(x^{2}-2x-3 > 0\)
              B.\(\exists x\leqslant 0\),\(x^{2}-2x-3 > 0\)
              C.\(\forall x > 0\),\(x^{2}-2x-3 > 0\)
              D.\(\forall x < 0\),\(x^{2}-2x-3 > 0\)
            • 4. 已知函数\(f(x)=4|a|x-2a+1.\)若命题:“\(∃x_{0}∈(0,1)\),使\(f(x_{0})=0\)”是真命题,则实数\(a\)的取值范围为 ______ .
            • 5.

              命题“\(∀ x > 1\),\(e^{x}\geqslant 2\)”的否定是______________________________.

            • 6.

              命题“\(∃x\)\({\,\!}_{0}\)\(∈R\),\(x\)\(\rlap{_{0}}{^{2}}\)\(-x\)\({\,\!}_{0}\)\(-1 > 0\)”的否定是\((\)  \()\)

              A.\(∀x∈R\),\(x^{2}-x-1\leqslant 0\)                
              B.\(∀x∈R\),\(x^{2}-x-1 > 0\)

              C.\(∃x_{0}∈R\),\(x\rlap{_{0}}{^{2}}-x_{0}-1\leqslant 0\)      
              D.\(∃x_{0}∈R\),\(x\rlap{_{0}}{^{2}}-x_{0}-1\geqslant 0\)
            • 7.

              命题\(p\)的否定是“对所有正数\(x\),\( \sqrt{x} > x+1\)”,则命题\(p\)可写为___________.

            • 8.

              已知命题 \(p\):方程\( \dfrac{x^{2}}{2}+ \dfrac{y^{2}}{m}=1\)表示焦点在 \(y\)轴上的椭圆;命题 \(q\):\(∀\) \(x\)\(∈R\),\(4\) \(x\)\({\,\!}^{2}-4\) \(mx\)\(+4\) \(m\)\(-3\geqslant 0.\)若\((¬ \) \(p\)\()∧\) \(q\)为真,求 \(m\)的取值范围.

            • 9.

              已知\(f(x)={{(\dfrac{2}{3})}^{x}}\),命题\(p\):\(\forall x\in [0,+\infty ),f(x)\leqslant 1\),则\((\)   \()\)

              A.\(p\)是假命题,\(\neg p\):\(\exists {{x}_{0}}\in [0,+\infty ),f(x_{0}) > 1\)
              B.\(p\)是假命题,\(\neg p\):\(\forall x\in [0,+\infty ),f(x)\geqslant 1\)
              C.\(p\)是真命题,\(\neg p\):\(\exists {{x}_{0}}\in [0,+\infty ),f(x_{0}) > 1\)
              D.\(p\)是真命题,\(\neg p\):\(\forall x\in [0,+\infty ),f(x)\geqslant 1\)
            • 10.

              已知命题 \(p\):\(∀\) \(x\)\(∈R\),\(2\) \({\,\!}^{x}\)\( < 3\) \({\,\!}^{x}\);命题 \(q\):\(∃\) \(x\)\(∈R\), \(x\)\({\,\!}^{3}=1-\) \(x\)\({\,\!}^{2}\),则下列命题中为真命题的是(    )

              A.\(p\)\(∧\) \(q\)                   
              B.\(¬ \) \(p\)\(∧\) \(q\)
              C.\(p\)\(∧\) \(¬ \) \(q\)                                      
              D.\(¬ \)​ \(p\)\(∧¬ \) \(q\)
            0/40

            进入组卷