名校
解题方法
1 . (1)将向量运算式
化简为最简形式.
(2)已知
,且复数
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062aada34504971d17391527cda76d6c.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1497a47127503ee20141f3b37b01252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
2 . (1)已知复数
是纯虚数,求
的值;
(2)已知
,
,
,求
与
夹角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db81020c16588c5e6066410421db9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691e32d5fde735281be9f29a434701fb.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9883f16cdef5fb87fb9d6a9897d113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404067afb19bd74f447a6c0c832af1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2389cf242e4981af361fe42c2572d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda42c42ba2dd4cc013fe915db603f32.png)
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3 . (1)已知平面向量
,
,若
与
平行,求实数
的值.
(2)已知复数
是方程
的解,若
,且
(
、
,
为虚数单位),求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4dcf415977dea53f52a85b6b82136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6298f5ea480c1db659fad4d4c658da47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3143307ad0ba4a631eac04e814993655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)已知复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0d4d254ff83c9298b1eecb3b4c831c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807472b86889a79c4b0dc376c3edd5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b6ec89b956b2b79bcdf1d4aae8def0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff0f1b6dd0be54207299f6c22eec25f.png)
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名校
解题方法
4 . 已知复数
,
,其中
为非零实数.
(1)若
是实数,求
的值;
(2)若
,复数
为纯虚数,求实数
的值;
(3)复平面内,定点
与
对应,记满足
的
对应的点的轨迹为曲线
,求点
到
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c916fd7ddb4e800d98b15ce54c4d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f6398f6c1b247ccb5da442f9c5b4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd371a85c39b68ea5adc912651ca58b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e7bf9200b351a259ddfc6c0266129d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49af9d8fc4e5577650b45c8cc17011d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2b45e67a031206d58bbbed2c0bc31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)复平面内,定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c41e2ce54bd5c9eb5badf609f1d9b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
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名校
5 . 设复数
,
,其中
,且复数
所对应的点都在复平面第一象限内
(1)若
,求实数
的值;
(2)设
所对应的向量为
,若
共线,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809611fd121b81127a63e28464d6cb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28298199ad2d9cdd9611aae07608a82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10613217fd433805b48ee695d9f0af49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a98c177bd8ccdbb5a7e956e5b81798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2eb65eca846b2bbe431cd456bc29dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fc838e1477179b36ca7481ee2cc1e8.png)
您最近一年使用:0次
2022-06-20更新
|
382次组卷
|
4卷引用:吉林省长春市长春外国语学校2021-2022学年高一下学期期中数学试题
名校
6 . (Ⅰ)若
(
是虚数单位),求实数
的值;
(Ⅱ)求函数
的导数;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700af393fc4c0de9dfbbf3c08f0e68b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(Ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e8f046b0894684b1882c63f0e188dd.png)
您最近一年使用:0次