已知函数
.
![](https://img.xkw.com/dksih/QBM/2020/7/4/2498208255852544/2499529766445056/STEM/2e0fcc6e2ce44452bb37dffe9c364c2e.png?resizew=284)
(1)在直角坐标系中,画出函数
的图像;
(2)设
的最小值为m,若实数
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9cb12e07ffe363d574358b4a02eb0c0.png)
![](https://img.xkw.com/dksih/QBM/2020/7/4/2498208255852544/2499529766445056/STEM/2e0fcc6e2ce44452bb37dffe9c364c2e.png?resizew=284)
(1)在直角坐标系中,画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3644994397fab062669bab9f09441ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcccbceca353de17f318fe384f965e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5b474ebbe652a21168cea18d3133f7.png)
更新时间:2020-07-05 20:49:14
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解答题-作图题
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【推荐1】对定义域分别是
、
的函数
,规定:
其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7438cd5109b4b00d92118b7b5021899d.png)
(1)求出函数
的解析式;
(2),画出图象,并根据图象直接写出
(3)若
在
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5886cf72ed5a1073263eb9ff485c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48101d1755703877e99969012ddb4448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
函数
![](https://img.xkw.com/dksih/QBM/2017/10/16/1796568180203520/1799932050284544/STEM/8de383c3384741008cb377a8c24fa87f.png?resizew=307)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7438cd5109b4b00d92118b7b5021899d.png)
(1)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2),画出图象,并根据图象直接写出
函数的单调增区间;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa611295ca1afe169e9c6eaf2b581e5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解答题-问答题
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【推荐2】已知n为正整数,规定
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51ebf1be875c1607e65a569284efd70.png)
(1)解不等式
;
(2)设集合
,对任意
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab7bb40f58f28c9799b20f91d15d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e422f8abdba5be2f3bc9c689d79c798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51ebf1be875c1607e65a569284efd70.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee6c3932aba783852ca9423baadb8b7.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d86b87b54480c86df52e979a4a934b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f41da3817dc16458441396623307280.png)
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解答题-问答题
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解题方法
【推荐1】若正数
,
满足求
,求
的最小值?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d314804ab891e8c39ff9db7349a737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbcb79c362bddb898f8a9d02a5f5d085.png)
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解题方法
【推荐2】(1)已知
,
且
,求
的最小值.
(2)设
、
、
均为正数,且
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b77d51b2d2dc835cf23ef19463afd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a3cfe361051dc5e9a3a36b2818db0.png)
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【推荐3】(1)已知
,且
.求
的最小值.
(2)已知
均为正数,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40a0036b816c24c9425a2562abb8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf99adccc80f28343fedd8d0aad7429.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56667aabbe787eb1c3189d487d203e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f33c70b05bdbaa7731e140e4ea6056c5.png)
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