2020高三·浙江·专题练习
名校
1 . 已知数列
满足
,
,
,记数列
的前
项和为
,则对任意
,则①数列
单调递增;②
;③
;④
.上述四个结论中正确的是______ .(填写相应的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b705494275d3b95c0c1dfe3eaece3456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675b69f8ebe6f5eefc1f35656ebebc8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fc82353331abee0828dee9b38c08f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b172a5c73a4cf34c3f5964f3c488f89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29cb8281971fbc83ba253124037677d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a82fdbc0527dd3b0fbfc129abe9694.png)
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2020-01-04更新
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552次组卷
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3卷引用:北京市大兴区兴华中学2023届高三上学期12月月考数学试题
名校
2 . 已知函数
,
.
(1)
,
;
(2)
的极小值点为 ,极小值为 ;
(3)
的极大值点为 ,极大值为 ;
(4)画出函数
的图象草图:
(5)若方程
恰好有2个解,则实数
;
(6)若
在
上单调,则实数
的取值范围是 ;
(7)若函数
存在极值,则极值点的个数可能为 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8457e09737e68bcc5c5e75f1a740f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ebde3082d00965a09be0b046a4185f.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbefef7b3281be333606691debb669a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b872da69444adc398f8bd731cd0d6f7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(4)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/5058d955-b5b3-4ab4-9e9e-3818a45ed5ba.png?resizew=222)
(5)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(6)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(7)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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