1 . 已知函数
,且函数
在
处的切线平行于直线
.
(1)求实数
的值;
(2)若在
上存在一点
,使得
成立.求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b605e3557af4c9b3ff0bc8e6685906e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376cc29193b2e0928371ca0050b0ebd3.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422f6111ba6a93819f6ffdb27f66f359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d45bffa714f7394ac1126514f446f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 函数
是定义在
上的可导函数,其导函数为
且有
,则不等式
的解集为
![](https://img.xkw.com/dksih/QBM/2016/9/28/1573047482146816/1573047488208896/STEM/5b9234283dd14d69a404c3df0bfe3252.png)
![](https://img.xkw.com/dksih/QBM/2016/9/28/1573047482146816/1573047488208896/STEM/3506f96f54cd41cbb206e7302116ad63.png)
![](https://img.xkw.com/dksih/QBM/2016/9/28/1573047482146816/1573047488208896/STEM/955be4b340854a1faefb88fc6eabd8fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17fc839620ee25c5a8a9e6afd2cbce03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feed03dcd4efc3541e99742672f908ec.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 观察下列不等式:
①
;
②
;
③
;
照此规律,第五个不等式为_________________ .
①
![](https://img.xkw.com/dksih/QBM/2016/9/28/1573047482146816/1573047488282624/STEM/28c58a7fb3ba4315af19f31fd9b360fa.png?resizew=72)
②
![](https://img.xkw.com/dksih/QBM/2016/9/28/1573047482146816/1573047488282624/STEM/15b21ea6deb0474188866980d405695f.png?resizew=104)
③
![](https://img.xkw.com/dksih/QBM/2016/9/28/1573047482146816/1573047488282624/STEM/aaf7bccb2f7e49c09d5e888b2ea2c054.png?resizew=139)
照此规律,第五个不等式为
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4 . 某化工厂近期要生产一批化工试剂,经市场调查得知,生产这批试剂厂家的生产成本有以下三个部分:①生产
单位试剂需要原料费
元; ②支付所有职工的工资总额由
元的基本工资和每生产
单位试剂补贴所有职工
元组成; ③后续保养的平均费用是每单位
元(试剂的总产量为
单位,
).
(1)把生产每单位试剂的成本表示为
的函数关系
,并求出
的最小值;
(2)如果产品全部卖出,据测算销售额
(元)关于产量
(单位)的函数关系为
,试问:当产量为多少时生产这批试剂的利润最高?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eadee265e39fe8ca866ebf90c4305d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c7cb093ea6df83a1f76a05c900a203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ace4dd971694aa40dfab6af94fedbfd.png)
(1)把生产每单位试剂的成本表示为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92396d51bb6ad61dd60d69c47cd8095c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92396d51bb6ad61dd60d69c47cd8095c.png)
(2)如果产品全部卖出,据测算销售额
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b0483f96551062f6c543ade4a11bcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b765f31ae5ddbc157e36280b19a5a3bd.png)
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2016-12-04更新
|
282次组卷
|
2卷引用:2017届山东枣庄三中高三9月质检数学(文)试卷
5 . 设函数
,若
恰有两个零点, 则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b120abd27fb5a06fbc6071a3b086ca9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 若直线
是曲线
的切线,也是曲线
的切线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a021abb2f317827175219a5500bc824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bea75e6fa8f587c7afff0ffb563b921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
您最近一年使用:0次
2016-12-04更新
|
785次组卷
|
3卷引用:2017届山东枣庄三中高三9月质检数学(文)试卷
解题方法
7 . 给出以下四个函数的大致图象:
![](https://img.xkw.com/dksih/QBM/2016/9/26/1573041598357504/1573041603911680/STEM/4c0f87c6474c41bdb475116dee3a508d.png?resizew=464)
则函数
对应的图象序号顺序正确的是( )
![](https://img.xkw.com/dksih/QBM/2016/9/26/1573041598357504/1573041603911680/STEM/4c0f87c6474c41bdb475116dee3a508d.png?resizew=464)
则函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd10d599e56fdc279fc3991c185e90be.png)
A.② ④ ③ ① | B.④ ② ③ ① |
C.③ ① ② ④ | D.④ ① ② ③ |
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8 . 设
,函数
.
(1)求函数
的的单调递增区间;
(2)设
,问
是否存在极值, 若存在, 请求出极值; 若不存在, 请说明理由;
(3)设
是函数
图象上任意不同的两点, 线段
的中点为
,直线
的斜率为
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da989240786ef7c3e2d903f30caf59e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92aac1f659e2c719ea92dcbeff3fd76.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8f979b1924939530dd498554456d728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2316563595e29fd4279845ab8afc5ba2.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec3f0349a972389b6b799a2f10c76ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dda368981b6f14366e72bf97e2a33e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71860790153b570a8537c93326637b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8dbd9d37e9ee707a01f140c8901b6f7.png)
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9 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ba1e43736db5ed73ef1a8930bfc1f1.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ba1e43736db5ed73ef1a8930bfc1f1.png)
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2016-12-04更新
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2卷引用:2017届山东枣庄三中高三9月质检数学(理)试卷
10 . 设i为虚数单位,则(1+i)5的虚部为________ .
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2016-12-04更新
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391次组卷
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2卷引用:2015-2016学年山东枣庄三中高二6月调查数学(理)试卷