1 . 已知复数
(
)满足
为纯虚数.
(1)求
;
(2)若复数
(
)在复平面内对应的点位于第三象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb18a468485cbe7848ccbf7fd9ee6e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeca13aec2aa875c34fdb2a48dd75c70.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423dd2033080e54d1124eccfcd276a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8440725e1df5ca0990b572dd84127914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
解题方法
2 . 母亲园广场有一个直径
为
米的半圆形花园,现在在花园中设计一条观光线路(如图所示).在点
与圆弧上的一点C之间设计为直线段小路,在路的两侧边缘种植绿化带,从点
到点
设计为沿弧的弧形小路,在路的一侧边缘种植绿化带(注:小路及绿化带的宽度忽略不计).
(1)设
(弧度),将绿化带总长度表示为
的函数
;
(2)试确定
的值,使得绿化带总长度最大.(弧长公式:
,其中
为弧所对的圆心角)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/17/1a36696e-f3cc-4a9a-af30-59a26672fc7f.png?resizew=179)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ed15020c1c669e06a3a3b1557242e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3c32177de03f8413f85d4a16ff647f.png)
(2)试确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3e4b8399839b8a8e9e5cee8fde061b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
解题方法
3 . 在复平面内,正方形
的两个顶点
、
对应的复数分别为
、
,求另外两个顶点
、
对应的复数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b80360cbdda38f0745b998dfa872a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e43145e8b838e2214d3b235f97faf75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)求函数在
处的切线方程;
(2)求
在
的最大值和最小值,并说明函数零点个数;
(3)求证:曲线
在抛物线
的上方.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f541d6a9be2aa97bbbc4abbf49d808e1.png)
(1)求函数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fab11f38ab8593932082ec4d9c8c91f.png)
(3)求证:曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a498dc93f63f98990b8f63990d4fe2e0.png)
您最近一年使用:0次
5 . 已知函数
.(
为自然对数的底数)
(1)若曲线
在点
处的切线方程;
(2)证明:当
时,
.(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22cc958d654986d821222f069fdaf038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b40940b4fd4d0a4c2aa886bc70ec1c5e.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5167e4033a40ca097e142552dfb8210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b7cfcc147916ae7eeb5d557fea945e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f523bf60acb92d2fd8639bd753f347.png)
您最近一年使用:0次
6 . 已知函数
,
是函数的一个极值点.
(1)求a的值;
(2)求函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4ef1cf4dcd895a658b1df8d86e10cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
(1)求a的值;
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
7 . 已知复数
,
.
(1)若
为纯虚数,求m;
(2)若
,求
的实部与虚部之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b2557d8ba2c8001709eed1a4abc6bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef73fe515e88aa1edb171e87078ae4e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d52e497aa7422819d873a7333891e86.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6730fbf75e001cf33cdfe129ebe72d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af7f211215a2d87918ca9b09ae09c4c.png)
您最近一年使用:0次
2023-07-05更新
|
380次组卷
|
5卷引用:甘肃省2022-2023学年高一下学期期末数学试题
名校
解题方法
8 . 已知函数
在
处取得极值4.
(1)求
的值;
(2)求函数
在区间
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa641c9a5044cdd9fc4edb13edd3108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
您最近一年使用:0次
9 . 已知函数
.
(1)若曲线
在x=1处的切线与直线2x-y+3=0平行,求a的值;
(2)求函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e817c9880eb1c121921eef42e4325a9.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
10 . 已知函数
为
的导数.
(1)求曲线
在点
处的切线方程;
(2)
,若对任意
,均存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4b33b1891483aba50e0e217ea7c42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3772d021693dc6638cc518aa9df928b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6065ec50eeec19c1528ca64b3f69b2bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5473f2e5fb12980bb34b9f8f2865a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17641d15644d5fb2c79fd1016b21520f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4624a648f30189a10c8b6683b190ce5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-06-15更新
|
719次组卷
|
4卷引用:甘肃省张掖市某重点校2022-2023学年高二下学期6月月考数学试题
甘肃省张掖市某重点校2022-2023学年高二下学期6月月考数学试题(已下线)第六章 导数与不等式恒成立问题 专题九 双变量不等式恒成立问题 微点1 值域法破解双变量不等式恒成立问题山东省枣庄市第三中学2023-2024学年高三上学期10月月考数学试题江西省宜春市上高县2024届高三上学期11月月考数学试题