1 . 下列代数式的值为1的有( )
①
②
③
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f935b2d6c14c401a16dbbab39bc26a75.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c363d163e97723b2f6463ef5b7a6948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8333bbd3a8fb197bd9abd343a8d9a0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b999d939823212b183946101624d51e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f935b2d6c14c401a16dbbab39bc26a75.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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解题方法
2 . 如图为函数
的大致图象,其解析式可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/675f1402-7ca6-46da-a089-5d58a30a6d3f.png?resizew=120)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知
,则
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92af3a8c97c1ce47d6a150a94774c6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 若函数
有最小值,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d079eb4509a31a461775601f7655d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 2023年10月26日神舟十七号载人飞船在长征二号F遥十七运载火箭的托举下点火升空,成功进入预定轨道.我国在航天领域取得的巨大成就,得益于我国先进的运载火箭技术.根据火箭理想速度公式
,可以计算理想状态下火箭的最大速度
,其中
是喷流相对速度,
是火箭(除推进剂外)的质量,
是推进剂与火箭质量的总和,
称为总质比.已知甲型火箭喷流相对速度为
.
(ⅰ)当总质比为9时,甲型火箭的最大速度为______
;
(ⅱ)若经过材料更新和技术改进后,甲型火箭的喷流相对速度提高到原来的
倍,总质比变为原来的
.若要使火箭的最大速度至少增加
,则在材料更新和技术改进前总质比的最小值为______ .
(所有结果保留整数,参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801fb850c497a5e833e8c4b7c6035f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e90016eded560b57a129f28d03aee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df0e5de30429c62a5febe61fe45ef24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebee00d8ff03814d153038706ebd7943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7524718b9f699c26c3ff742bfc8675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467f61f8d38c71fcb30f3f16d88650d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc73529ef6d4431646ca0bdbca09f608.png)
(ⅰ)当总质比为9时,甲型火箭的最大速度为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22964de2a093c97a8755dbe70487735e.png)
(ⅱ)若经过材料更新和技术改进后,甲型火箭的喷流相对速度提高到原来的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4836d554eed2e9b666ba934090c2bd77.png)
(所有结果保留整数,参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50101047632b94dcd5cf8035b093cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4afc32b1084af96113b5cd239607d8ce.png)
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解题方法
6 . “
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ca0fc5c9300932f5fcc85af1a0745a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
A.必要不充分条件 | B.充分不必要条件 |
C.充要条件 | D.既不充分也不必要条件 |
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7 . 已知函数
(
,且
)的图象恒过定点
,则点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6895742aa6a75ca506fa133363fa713e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 若
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a525e811ffc32387348f431b04c32225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b14a2a507068a12939cd72686bc607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5a875d45257e6b065aadc8b572afdd.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/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e963eaf3844f93f7fca22e7f2b88c390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ab5941201d244939bb2d681c793974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434827cf44e867ad738d1ca899ab205e.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/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 若函数
是定义在
上的奇函数,当
时,
,则当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
_________ ,若
,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4297da115683c2f7e596a23e5f6aaef3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1123979afac313acf94bb8159f796b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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