解题方法
1 . 如图,
底面
,
,
,
.当四面体
的体积取得最大值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1778069e90370fd8238fa723844d9f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a351136b18bc7d3bd5122332772ab23b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/15/282a5606-c423-493b-b05f-100e965d21d3.png?resizew=141)
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2 . 已知函数
,则不等式
的解集为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9a331681ff95ea340f2327f2a197ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74cd71222d8a1c038f536fe69872bc60.png)
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3 . 已知曲线C:
,直线l:
.若当
时,直线l恒在曲线C的上方,则实数k的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5280dd3c967caea1f17e74c3f4931137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a70ac809368672950c9913cefde116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5850426712b921e7c18b9a9a43712cc0.png)
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2022-06-09更新
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4 . 已知正实数
,
满足
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b97fbf27885aa90cc397eb27263cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14c58daaabee15254f033b373307b72.png)
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5 . 已知函数
(
)在
处有极大值,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7b25eb206e3d87a63ea4a511e67c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知函数
的定义域是
,其导函数是
,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bad8a19051b783a34944a634597b08.png)
______ 0.(填>或<)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64168a349362939b2ae6d545598a12e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bad8a19051b783a34944a634597b08.png)
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7 . 已知函数
,若函数
在
上存在最小值,则a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53cb0564a690ee1cab0e861757aa0a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9998650b3a9e5550066cfcedb31bc0f0.png)
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8 . 已知
是定义在
上的函数
的导函数,对任意的
,
恒成立,且
,则不等式
的解集是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e07714738d1e592766c8597b042cf1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a80209fb6299f5b52f0ca677586097c.png)
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9 . 若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44fc0f5b5a34efa06d39ababcdd6ce50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb51586cc1c77a21178391b88b8c08ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
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10 . 若函数
不存在零点,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e266a734aa155fe037a344707d71031.png)
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