1 . 已知
,若
,
,
是函数
的零点且
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cadb751863093633424831bbd30bb39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12a4eecd249473a831d0ee472470240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9565876bc50bceb63e5793c8c67a9032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec13d0c7a2f811a742d7e89960c5fec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31aaa7bcac98bcfc3591261792232d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8567c0348e755bc0542cac37f3522d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef98c71145edae104c6c03d8e91ab50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04127db1410188b8076c89b79dccfe0f.png)
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2 . 已知函数
.
(1)若
恒成立,求a的最小值;
(2)若
存在最大值,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083ad02d1a6ec52d79cee9321938a762.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fce85097fee1cbceeace9d1873fa71a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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3 . 已知函数
在区间
上恒正,则实数a的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2f9503336c3bf788cdc5e3c91ffdcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae976d6c9c48eb578f1e37394c6709c6.png)
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4 . 设
为正整数,若
对所有正整数
成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22d7c214d9685da7be80319ed80d8df.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533674a39b4b03b2b25432840172aa22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22d7c214d9685da7be80319ed80d8df.png)
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5 . 设a,b,c,
,
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731fceab5fd883f0598f34713db4242f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e209cfb730513dc749d8efe85ca50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0e70c2e75fad4d49574103c7c5f03d.png)
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6 . 若关于x的方程
有实数解,则a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929c3112f50f98cc790f28341bd291a8.png)
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7 . 已知关于x的不等式
对任意
恒成立,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b30ba897503f5e37d7005774c0c225d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/103ec0d91228a7a0c07a0e2f7bf2b0b6.png)
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8 . 已知A、B是抛物线
上的两个动点,点A在第一象限,点B在第四象限,直线
分别过点A,B且与抛物线C相切,P为
的交点.设C、D为直线
与直线
的交点,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50297ad9f7256b4d2efc3462289f18b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50297ad9f7256b4d2efc3462289f18b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50297ad9f7256b4d2efc3462289f18b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177678001b2ccde1db8f57fa5e017002.png)
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9 . 已知1<a≤2,函数
.
(1)证明:函数
在(0,+
)上有唯一零点;
(2)设
是函数
在(0,+
)上的零点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffda632a87178328b0d6be3319a69b4.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229e67dd9fe978e48c221b0b9dc57f1c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229e67dd9fe978e48c221b0b9dc57f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c5f5c64af78dbe4d1200c5201f1477f.png)
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10 . 若
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2347c3b8239a5f8e66d5f585dee03cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f61d8c7d2c5193edf986a8e9377146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99074f989e74d5ff306b4b7b7a379c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次