1 . 已知
是等差数列
的前n项和:
(1)若
,求数列
的通项公式;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b7d1b0e84b27de77f11bdb3096ea9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/997f83c28e8fb8c44c4ca87b0c8cba8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34a901aa78366ac960f5f4e7f1fcbac.png)
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解题方法
2 . 利用基本不等式求下列式子的最值:若
,求
的最小值,并求此时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f40c24c64bbb0645fcf585f4e66872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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3 . 解下列不等式.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab2fde9e3e934c51c1a424b7b40bccf.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab2fde9e3e934c51c1a424b7b40bccf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c912d5c0959bf6c9c809aebca986689a.png)
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解题方法
4 . 已知数列
中,
,求数列
的前
项和
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d9a877d561334ba0c16a5c12e0649f.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)
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名校
解题方法
5 . 已知
.
(1)若
与
均为正数,求
的最大值;
(2)若
与
均为负数,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acd1467c10c7ff14caca53feea7a540.png)
(1)若
![](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/18f0281e6bbdbe08beeccb55adf84536.png)
(2)若
![](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/20aed978313b6896ef5a1b01e8aaf6be.png)
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6 . 求下列不等式的解集
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4106c9553e2d8fc1310b930e3f8a0bf0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab2fde9e3e934c51c1a424b7b40bccf.png)
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名校
解题方法
7 . (1)比较
与
的大小:
(2)已知
,
都是正实数,比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a76492462fe36120ce4c2ddbb0e069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d27742e5b8ed7ddd4aa44e9274ffe1.png)
(2)已知
![](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/8a10447baa17b86ca58be2b03197fd55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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8 . 解下列不等式并写出解集.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d141f34f18f4802d04ef2e4e5e803aba.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7bba40f1f220c089fbfee228ed7babc.png)
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9 . 求下列不等式的解集:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0d5814a65c212822f74ba12845f2bd.png)
(2)
;
(3)
;
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0d5814a65c212822f74ba12845f2bd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03200edc9e00e407c67d2f03536dd10a.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4a655be2d2c7092f0cdf9de848d80c.png)
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10 . 在等差数列
中,
(1)已知
,公差
,求
;
(2)已知公差
,
,求
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf94d263ea1e5ddad405ccbc1eb2a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
(2)已知公差
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e55be01cb8c03390832247aa2d27f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff6de1ee895470114429ac01726f405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
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