1 . 若
,则
的值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4730cf8ef061920b8e2407531fb675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f92fcdbafbcf2fb37c46b67d866522.png)
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2 . 已知
为偶函数,
为奇函数,其中
.则
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfea7fb08ac5795aa0f9d7c02c76d9ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ea70dc309a0740864f493a643cc43b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/855362e255fcf728e3d756ba214647fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fe9d1475ee57b507183b9518c2c6a5.png)
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3 . 设
,且
,其中m为非零实数.则
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f447754b1c0b7d41fdf133b5084e6dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ba8e722f8fbf17d00b1b73eb872ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a92d4f9d9d985987783a98c56255c59e.png)
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4 . 如果复数z满足
,A(-1,0)、B(0,-1)是复平面上两点,那么函数
取最大值时,复平面上以Z、A、B三点为顶点的图形是.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae62f8d74c113839f0b0b7aa1e6eaa7.png)
A.等边三角形 | B.等腰三角形 | C.直角三角形 | D.等腰直角三角形 |
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2007高三·河北·竞赛
5 . 设复数
(
)满足
.求
的最大值、最小值及相应的z值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04d49087a1be7da74bccfbb1436c32e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2adbd765417fa771e40d0a1bee461c3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991f92265c99cc59525920ccba4a1f23.png)
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2007高三·河北·竞赛
6 . 设非零复数
满足
,以坐标原点为圆心,
为半径作
.则
与
的关系是.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50f78328922dd196c2e0bad7a5e72ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c1a150d2d34247690824f0299d1dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
A.两点均在圆外 | B.两点均在圆内 | C.两点均在圆上 | D.一点在圆外,一点在圆内 |
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7 . 设
是具有复系数
,
的关于复变量
的二次三项式,且对一切
有
.求
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cece1a57c214c55ccaac654e9c9bb533.png)
![](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/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fdef19e6e3e7b3ac72ac42979837914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d80391a51fac1a2a6b9963689cd1f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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