1 . 已知函数
,函数
的零点均在区间
内,其中
,且
,
都是整数.当
取最小值时,若复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04831be5e24c3a5fb6ba79e8b0379e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a19dc7342d33d6caa12d7702a8ec391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e5588c3671337fed415fee3ef12564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 给出下列四个结论:
①若角
为第一象限的角,则角
必为锐角;
②对任意的复数z,都有
;
③设
是空间一个平面,m,n是空间两条不同的直线,且
.则“n
m”是“n![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
”的充分条件;
④在三角形ABC中,若A<B,则
.
所有正确的结论序号为___________ .
①若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
②对任意的复数z,都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc1cc625fa294fdfc3fcda43c4bff2e.png)
③设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539a38ada26356d73024fb8533449c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
④在三角形ABC中,若A<B,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b2f44bda467c786287c7356d4ed9f7.png)
所有正确的结论序号为
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2022-06-25更新
|
386次组卷
|
3卷引用:湖南师范大学附属中学2021-2022学年高二下学期6月月考(第二次大练习)数学试题
名校
解题方法
3 . (1)已知a、b
R且满足(a-i)2-3bi=(1+i)(2-2ai),又z1=3-ai,z2=-3b+2i,求
的模与共轭虚数.
(2)i的正整数指数幂满足
=i,
=-1
=-i
=1(n
).如i=i,i2=-1,i3=-i,i4=1.请分析并写出i的正整数指数幂和、差规律,以此规律计算i+ i2+ i3+….+i2022 ①或i-i2+ i3-i4 +….-i2022 ②(注:要求只计算①与②之一)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de20dd6e41cad31ad8b2efd54cd3ca5.png)
(2)i的正整数指数幂满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a207dd5e7a8578b44c5108b057a739ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21eb8408abce1d5c923d1ec482ccfbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729ab66e41e68d130540d517e0a96b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35996fbfefca0b7083883a38bd63be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd9b7ec681035c141b64c997a579f87.png)
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