解题方法
1 . 已知
,
均为正实数,且
,则
的最小值为_________ .
![](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/1f72a30a603871daf17e662fb293fae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
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解题方法
2 . 已知下列命题:
①不等式
的解集为:
或
;
②不等式
的解集为:
;
③不等式
的解集为:
;
④若不等式
对任意
都成立,则
;
⑤若
,则函数
,
的最小值为
.正确的有_____________ .(将你认为正确的命题的序号填在横线上)
①不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d22a3d395ff99792f7c0bd45c496456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da648ee55d60eb76c56cd747c30d40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890d6dafa253b76e17c37f607ad29a53.png)
②不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f48d0fd32d220f682b97d769356d4bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cc4eddd3a646184eecda1f72c3e759e.png)
③不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ae40c77edce0e73d808541da23d071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf76b4073ae6950540bad28b4a77846.png)
④若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88696bdb9875349efeafd249731bc2fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43976a38904f9103b86e51a255783465.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a90f71a22daa4df7bd75c1e3e66fcb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7857ff8e98ca88a6e2520d43787ee2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a33b12b3e29154e6615d4136e943045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
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解题方法
3 . 在等差数列
中,
为它的前
项和,若
,
,
,则当
最大时,
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb15e818ed3399e6acfb390f4805b743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f0853863ab2c68e6393b1049aa7fe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
4 . 数列
的前
项和为
,则数列
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.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/a963c2a5d2eb3e85268cab3e25056871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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5 . 设
为椭圆
上一点,过点A作一条斜率为
的直线l,又设d为原点到直线l的距离,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4714929b31acc0efe19f729aa2a6b82.png)
分别为A点到椭圆两焦点的距离.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6e6bdb547b45667ae7a1468e3e1356.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d1154e9cffca836326a0f1f6f41846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4497bfb3b7ea5b9df0935512c0d8054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4714929b31acc0efe19f729aa2a6b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6e6bdb547b45667ae7a1468e3e1356.png)
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6 . 若数列
满足:
,则数列
的前
项和
为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0710ac68ddb169a245eec27982ab4d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
7 . 已知定义在
上的偶函数
在
上为减函数,且
,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264242feb14659ecc1cd992333edf8db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2020-02-15更新
|
395次组卷
|
2卷引用:重庆市第八中学2019-2020学年高一上学期期末模拟卷(三)数学试题
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8 . 在
中,已知
,给出以下四个论断:
①
,②
,③
,④
,其中正确的是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ee26622a95ee0b12c1367595cc69b2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a1fa497e43c5b7cb47b1c12bc84780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df8ae173df74bb104b1bc3e12d9988c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7f8b210e25b21581f4e7f248ce420d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ef6ad524b708679ae2ba6484bc9b52.png)
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9 . 在等差数列
中,
,
,则前
项和为
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ae16720511620cd8cbb904f9f6be6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f01828ef9f7dec29057350e75a6fe4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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10 . 若
是
与
的等比中项,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20ee3ee0346fb53900408ebd18432b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0d2b7d558996d2e2a2ed1ce3011d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b255ea002f16254e3ba834bd485e130b.png)
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