共50条信息
\((\)Ⅱ\()\)若存在\({x}_{0} \)满足\(f\left({x}_{0}\right)+\left|{x}_{0}-2\right| < 3 \),求\(a\)的取值范围.
设集合 \(A=\left\{ \left.x \right| \dfrac{2}{x-1}\geqslant 1\right\},\left\{ \left.y \right|y=lo{g}_{2}x,0 < x\leqslant 4\right\} \) ,则\(A∩B (\) \()\)
已知函数\(f\left( x \right)\)是定义在\(R\)上的奇函数,若\(g(x)=f(x+1)+5\),\(g′(x)\)为\(g(x)\)的导函数,对\(\forall x\in R\),总有\({g}{{'}}\left( x \right) > 2x\),则\(g\left( x \right) < {{x}^{2}}+4\)的解集为 .
设\(p\):\(x\in \{x|y={\lg }\left( x-1 \right)\}\),\(q\):\(x\in \{x|{{2}^{-x}} < 1\}\),则\(p\)是\(q\)的\((\) \()\)
“\({\log }_{2}(2x−3) < 1 \)”是“\(x > \dfrac{3}{2}\)”的( )
设集合\(M=\{0,1,2\}\),\(N=\{x|x^{2}-3x+2\leqslant 0\}\),则\(M∩N=(\) \()\)
已知函数\(f(x)=\ln x-0.5^{x}+1\),则不等式\(f(2x-3) < 0.5\)的解集为\((\) \()\)。
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