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沪教版(上海) 高二第二学期 新高考辅导与训练 第13章 复数 13.6(1) 实数一元二次方程(1)
适用年级:高二 试卷类型:课时练习 试题总数:14 浏览次数:17 上传日期:2020-06-30
1 . 已知方程eqIdb39345acf117414f9d611d3f5becb4eb的两根为eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159且满足eqId3dff4f30858c4dc4af8438a1b189ead8,求实数eqId3a4208e0040c42ed8b09de2cae9d562e的值.指出下面的解法是否有错误,若有请分析错误原因,并给出正确的解答;若没有,请说明理由.
eqId3dff4f30858c4dc4af8438a1b189ead8,得eqIdaf83f6a646674d46af58b8162bb11bb4.∴eqId6c12cee643f643be92529f8b92f2ef89.
由方程的根与系数的关系,得
eqId31246d5d9be143ac9fbd6dd7f72539d6.
解方程,得eqIdc27e80a7f95c4a179c75b94d9d2dbcc3.
更新:2020/06/30难度:0.65题型:解答题组卷:6
2 . 方程eqId4e5127854a104734963d14fc94c951c4的两个虚根的模之和为2,求实数eqId3a4208e0040c42ed8b09de2cae9d562e的值.
更新:2020/06/30难度:0.65题型:解答题组卷:6
3 . 若复数范围内将eqId0db06083729f4222876fe38d8d363dcd分解因式,所得的结果为(    )
A.eqId81fd1df5cf4c4122bcdd6620d8e3d269B.eqIde275a83dfed34ee2a6bc8ceb094c5bfc
C.eqIda5c51c3fadd0478e9b02efe29976995aD.eqIde275a83dfed34ee2a6bc8ceb094c5bfc
更新:2020/06/30难度:0.65题型:单选题组卷:8
4 . 二次方程eqId5118f4496e8e48cb921f368f4e8d5bd8的一个根是eqId054bba6c1652458798322ce13b525097,且eqIdaea992e70d4943e49e893817eb885ed7eqId02303b07f1564d43835dc02407370e9d,则eqId3de612e435944f09ae5f19c7c64d03c4的值为(  )
A.eqId8898c1dc81824f3098bbeae74e8f11fdB.eqId8f65c930571d4ff6aa6a50029d46826eC.eqId30c998d35a344d80a18e14a8c8f2d14fD.eqIdecb828cf922546bb9760e0ce5c95a9cb
更新:2020/06/30难度:0.85题型:单选题组卷:18
5 . 对实系数一元二次方程eqId5fce58dcd7a84aa9bf6d3feda99e01c3,下列结论不成立的是(    )
A.当eqIdbb2301b2c79b415db9d60c574d2c0c33时,有相等的根
B.当eqIdf8a96f0aceb44b20a1cc28def66a9660时,有不相等的两虚根
C.两根eqIdf7cbc1ad0a7b4f97b479c131b62ad882eqIdaecaf42a9cfb4a5c8c0cade53729c9ba满足eqId6aa65ba5ee5f48658f1de47de8e4a164eqId5bedfa4a7c2e46fe92403960d29797f5
D.当eqIdb8deada75ce9466cb041c5790f0409fc时,两根之积不一定为正
更新:2020/06/30难度:0.85题型:单选题组卷:6
6 . 方程eqIdc91cd55555c74e9a94c7d66c11946839在复数集中的解有(    )
A.2个B.4个C.6个D.8个
更新:2020/07/02难度:0.65题型:单选题组卷:15
7 . 若实系数方程eqIdaf453caca2ff44adb62344ae76e9abfe有虚根,则实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围是________.
更新:2020/06/30难度:0.94题型:填空题组卷:8
8 . 若有两个数,它们的和是4,积为5,则这两个数是________.
更新:2020/06/30难度:0.65题型:填空题组卷:5
9 . 若eqId1662454d4aa84bb48aa0983fac421596为实系数方程eqIdf576c6444a8f488fa68f999cb6373afc的根,则eqId7158a4d6240b4e3c998d995b459d8c5b________.
更新:2020/06/30难度:0.85题型:填空题组卷:14
10 . 若eqIdf7cbc1ad0a7b4f97b479c131b62ad882eqIdaecaf42a9cfb4a5c8c0cade53729c9ba为方程eqIdbbde4b5d549249cca187b262f61a9064的两个根,则eqIdafe5d4c361be42a7997a771fd7b04f7c________.
更新:2020/06/30难度:0.85题型:填空题组卷:11
11 . 已知eqId2cd9e2fe3d6540df9399dbefe49ada54为虚数,且有eqId53f7febe0fa84fbdaaa279371f031654eqId7d93fc73b99842b5bb2bcfa4d6cce779为实数,若eqId2cd9e2fe3d6540df9399dbefe49ada54为实系数一元二次方程eqId5118f4496e8e48cb921f368f4e8d5bd8的根,则此方程为________.
更新:2020/06/30难度:0.65题型:填空题组卷:9
12 .
已知关于eqId8e15963708e9415da25069fea5906e24的实系数一元二次方程eqId635e4d46801c4330bc856e231f4056f0有两个虚根eqIdf7cbc1ad0a7b4f97b479c131b62ad882eqIdaecaf42a9cfb4a5c8c0cade53729c9ba,且eqIddb61b5dc3ac44209b845094d0ef6c451eqIdb6e15e51d29a47a7aff44f98b1aafaee为虚数单位),eqId90a3c49acbe14d1ba123b03a824b7fed,求实数eqIdaea992e70d4943e49e893817eb885ed7的值.
更新:2020/06/30难度:0.65题型:解答题组卷:694
13 . 若eqId4f3b088061b74b91800ceb300f29522beqId4b143fb0b6bd48c3b8db24a8a95343f3是实系数一元二次方程的两个虚根,eqId10c23a9a654f460282bdf2a8246daa3c,且eqIdc357c3edd12a480486ab5b42a256b13b.
求:(1)实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围;
(2)eqIddd6968a7b9ce48be8a371d18235f7df8的最大值.
更新:2020/06/30难度:0.65题型:解答题组卷:22
14 . 设eqIdf7cbc1ad0a7b4f97b479c131b62ad882eqIdaecaf42a9cfb4a5c8c0cade53729c9ba是方程eqId0f9ffacd14094dcf9494f9f1e62688ae的两根,求eqIde64584543d8c408dacb92360c21870f9(用含eqId70a27b6ddf6b478285353abb3b1f3741的解析式表示).
更新:2020/06/30难度:0.65题型:解答题组卷:7