已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1995dce074a302fcecb7925ca75e9d.png)
(1)当
时,求函数
在区间
上的最值;
(2)若对
,总有
,求正实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1995dce074a302fcecb7925ca75e9d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed937c70e80009dc02053042d43718b.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f13dd16d8a96d9aed96385b5efeb90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
20-21高三上·山西大同·期中 查看更多[5]
山西省大同市大同一中2021届高三上学期期中质量检测理科数学试题(已下线)专题04函数与导数(测)-2021年高考数学二轮复习讲练测(新高考版)(已下线)专题04 函数与导数(测)-2021年高考数学二轮复习讲练测(文理通用)(已下线)专题17 导数的基本应用(测)(文科)第一篇 热点、难点突破篇-《2022年高考文科数学二轮复习讲练测》(全国课标版)(已下线)专题17 导数的基本应用(测)(理科)第一篇 热点、难点突破篇-《2022年高考理科数学二轮复习讲练测》(全国课标版)
更新时间:2020-11-15 17:54:32
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【推荐1】设函数
,其中
是自然对数的底数,
.
(1)若
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(2)若
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恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614c99e03900c5881dee66a836b30119.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867a01569cb3a5ab9587c85eeb43fb23.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc27a5d63f7e790ab2d8f559c02ca2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
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【推荐2】已知函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3434b4830060fbd6885e05ccee93118.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dae8c2940526e00a3a3562021792d7.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c09c5c89b0c2a92f8c4b70e69b0eada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749962102495b2ee188235d6619850e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3e5be1796493161a4df7e28a6f6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐3】已知函数
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.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410e7be45c957ed0e0bfb07bff9aaba5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a79534888449d1d808fb981bbed56ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af36b8a5f7fb24a5b7ea1f46ac92b886.png)
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【推荐1】已知函数
(
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20acc9fe33b7f4ec048760454c5b926a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77023d836709f1ec413a1413386a2a4d.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f84134092f31767ff9f7e8200a79fa.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0bb9e98b6699fbfed3772d75c6bbe46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad047efbcf068772cf7b819f56b61fbf.png)
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【推荐2】已知函数
.
(1)若
在
处的切线与直线
垂直,求
的极值;
(2)若函数
的图象恒在直线
的下方.
①求实数
的取值范围;
②求证:对任意正整数
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.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5d7bf46fe9b64f762ebcd347d155fb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957446b2f02eeaf2a1e29794036f1131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②求证:对任意正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e468312d09c6563c9094b710a35a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ba7d30c23e7ff46853402a9a8a0334.png)
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【推荐3】已知函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44c08a744391c42804a7153fefeb0524.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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