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解题方法
1 . 已知函数
,且
.
(1)证明:当
时,
;
(2)设
且
,试比较
与
的大小,并给出证明过程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7465633ebc62e5dece459298a1fda9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3e5be1796493161a4df7e28a6f6b7.png)
(1)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e468312d09c6563c9094b710a35a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d1637fb61b268aed74d8c8ab8d5215.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3018f891b20bde560482522a476937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b68947b00b0cbdfe57ceda72ed09e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d686b2d3ed970131caa0f516ca8de6b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93beb75dc10a7590bd346756be2730e0.png)
您最近一年使用:0次
名校
2 . 已知函数f(x)=a(cosx﹣1)﹣blnx+xsinx.
(1)若a=1,b=0,证明:f(x)在区间(0,π)内存在唯一零点;
(2)若a=0,b=π,
①证明:
时,f(x)>0;
②证明:
>π[ln(n+1)﹣ln2](其中n≥2,且n∈N+).
(1)若a=1,b=0,证明:f(x)在区间(0,π)内存在唯一零点;
(2)若a=0,b=π,
①证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d49ec515fb1fdc93ca4dda443326ad5.png)
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def3a3c15cb6666f73f621a5bde41071.png)
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2021-06-22更新
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687次组卷
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3卷引用:重庆市西南大学附属中学2021届高三下学期第六次月考数学试题