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选择章节

  • 题型:选择题 题类:模拟题 难易度:较易

    年份:2018

    设\(a=3^{0.5}\),\(b=\log _{3}2\),\(c=\cos 2\),则\((\)  \()\)
    A.\(c < b < a\) B.\(c < a < b\) C.\(a < b < c\) D.\(b < c < a\)
  • 题型:解答题 题类:模拟题 难易度:较易

    年份:2018

    已知在等比数列\(\left\{ {{a}_{n}} \right\}\)中,\({{a}_{1}}=1\),且\({{a}_{1}}\),\({{a}_{2}}\),\({{a}_{3}}-1\)成等差数列.

    \((\)Ⅰ\()\)求数列\(\left\{ {{a}_{n}} \right\}\)的通项公式;

    \((\)Ⅱ\()\)若数列\(\left\{ {{b}_{n}} \right\}\)满足\({{b}_{n}}=2n-1+{{a}_{n}}(n\in {{N}^{*}})\),数列\(\left\{ {{b}_{n}} \right\}\)的前\(n\)项和为\({{S}_{n}}\),试比较\({{S}_{n}}\)与\({{n}^{2}}+{{2}^{n}}\)的大小.

  • 题型:选择题 题类:模拟题 难易度:较易

    年份:2018

    已知函数\(f(x)=x+2^{x}\),\(g(x)=x+\ln x\),\(h(x)=x- \sqrt {x}-1\)的零点分别为\(x_{1}\),\(x_{2}\),\(x_{3}\),则\(x_{1}\),\(x_{2}\),\(x_{3}\)的大小关系是\((\)  \()\)
    A.\(x_{1} < x_{2} < x_{3}\) B.\(x_{2} < x_{1} < x_{3}\) C.\(x_{1} < x_{3} < x_{2}\) D.\(x_{3} < x_{2} < x_{1}\)
  • 题型:解答题 题类:模拟题 难易度:较易

    年份:2018

    选修\(4-5:\)不等式选讲
    设\(a\neq b\),求证:\(a^{4}+6a^{2}b^{2}+b^{4} > 4ab(a^{2}+b^{2}).\)