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        1. 在內(nèi).當(dāng)x∈時(shí)..∴h(x)是增函數(shù), 查看更多

           

          題目列表(包括答案和解析)

          設(shè)函數(shù)f(x)=x2-2(-1)klnx(k∈N+).
          (Ⅰ)求函數(shù)f(x)的單調(diào)遞增區(qū)間;
          (Ⅱ)設(shè)函數(shù)g(x)=2bx-
          1
          x2
          在(0,1]上是增函數(shù),且對(duì)于(0,1]內(nèi)的任意實(shí)數(shù)x1,x2當(dāng)k為偶數(shù)時(shí),恒有f(x1)≥g(x2)成立,求實(shí)數(shù)b的取值范圍;
          (Ⅲ)當(dāng)k是偶數(shù)時(shí),函數(shù)h(x)=f′(x)-x+
          3
          x
          ,求證:[h(x)]n+2≥h(xn)+2n(n∈N+).

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          設(shè)函數(shù)f(x)=x2-2(-1)klnx(k∈N+).
          (Ⅰ)求函數(shù)f(x)的單調(diào)遞增區(qū)間;
          (Ⅱ)設(shè)函數(shù)在(0,1]上是增函數(shù),且對(duì)于(0,1]內(nèi)的任意實(shí)數(shù)x1,x2當(dāng)k為偶數(shù)時(shí),恒有f(x1)≥g(x2)成立,求實(shí)數(shù)b的取值范圍;
          (Ⅲ)當(dāng)k是偶數(shù)時(shí),函數(shù),求證:[h(x)]n+2≥h(xn)+2n(n∈N+).

          查看答案和解析>>

          設(shè)函數(shù)f(x)=x2-2(-1)klnx(k∈N+).
          (Ⅰ)求函數(shù)f(x)的單調(diào)遞增區(qū)間;
          (Ⅱ)設(shè)函數(shù)在(0,1]上是增函數(shù),且對(duì)于(0,1]內(nèi)的任意實(shí)數(shù)x1,x2當(dāng)k為偶數(shù)時(shí),恒有f(x1)≥g(x2)成立,求實(shí)數(shù)b的取值范圍;
          (Ⅲ)當(dāng)k是偶數(shù)時(shí),函數(shù),求證:[h(x)]n+2≥h(xn)+2n(n∈N+).

          查看答案和解析>>

          設(shè)函數(shù)f(x)=x2-2(-1)klnx(k∈N+).
          (Ⅰ)求函數(shù)f(x)的單調(diào)遞增區(qū)間;
          (Ⅱ)設(shè)函數(shù)數(shù)學(xué)公式在(0,1]上是增函數(shù),且對(duì)于(0,1]內(nèi)的任意實(shí)數(shù)x1,x2當(dāng)k為偶數(shù)時(shí),恒有f(x1)≥g(x2)成立,求實(shí)數(shù)b的取值范圍;
          (Ⅲ)當(dāng)k是偶數(shù)時(shí),函數(shù)數(shù)學(xué)公式,求證:[h(x)]n+2≥h(xn)+2n(n∈N+).

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          設(shè)函數(shù)f(x)=x2-2(-1)klnx(k∈N+).
          (Ⅰ)求函數(shù)f(x)的單調(diào)遞增區(qū)間;
          (Ⅱ)設(shè)函數(shù)g(x)=2bx-
          1
          x2
          在(0,1]上是增函數(shù),且對(duì)于(0,1]內(nèi)的任意實(shí)數(shù)x1,x2當(dāng)k為偶數(shù)時(shí),恒有f(x1)≥g(x2)成立,求實(shí)數(shù)b的取值范圍;
          (Ⅲ)當(dāng)k是偶數(shù)時(shí),函數(shù)h(x)=f′(x)-x+
          3
          x
          ,求證:[h(x)]n+2≥h(xn)+2n(n∈N+).

          查看答案和解析>>


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