名校
1 . 已知函数
,
.
(1)当
是偶函数时,求
的值并求函数的值域.
(2)若函数
在区间
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c502e51043aa648ee7dd212664d57a56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4ee2317e88e36c08a58dac8658bc87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 已知函数
.
(1)判断
的奇偶性;
(2)证明:
在区间
上单调递增;
(3)若当
时,
恒成立,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c7ef8fa23ec34062a02d23d04e7ac6.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
(3)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66bff32c5bf6825333bfa7ca4123fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9464f4c451b71fc6eafc4b897a8c0cf.png)
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解题方法
3 . 已知函数
,其中
.
(1)当
时,求
的值域和单调区间;
(2)若
存在单调递增区间,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42ae2896004caf39117b72d7925baa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0be16e0f3b6a14bc496bc2343203e3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
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名校
解题方法
4 . 已知函数
.
(1)当
时,求函数的值域;
(2)若
存在单调递增区间,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2f48c0c2612f6343bd79423283cdfc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f34365e5040ce6944115c8da61bf110.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
5 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e5428a2a001baa2ed9c8f33478a0ec.png)
(1)当
时,求函数
的定义域和值域.
(2)求使
成立的x的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03208c3f85e3f0bdc6a3c2a8f4642ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e5428a2a001baa2ed9c8f33478a0ec.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753ddd380ed18f61bf76d52e1f3dc6ca.png)
(2)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03535592817f149e4be75f06987fd819.png)
您最近一年使用:0次
2020-12-27更新
|
502次组卷
|
3卷引用:江苏省淮安市六校联盟2020-2021学年高一上学期第三次学情调查数学试题
名校
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca871aad2c7934e364847fc14d731d4.png)
.
(1)当
时,求函数的单调减区间(使用复合函数思想判断,不用定义判断);
(2)若
存在单调递增区间,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca871aad2c7934e364847fc14d731d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0be16e0f3b6a14bc496bc2343203e3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f34365e5040ce6944115c8da61bf110.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
.
(1)当m=1时,求
的值域;
(2)若
,求实数m的范围;
(3)若
在区间
上单调递增,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ef659eb3b225a98452fcd86da66c59.png)
(1)当m=1时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e27278384f8b5586d50a39e3e85f57.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b5e402f725a71c3305bf3e72f72ded.png)
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8 . 已知数列
是等比数列,且公比
.
(1)比较
与
的大小;
(2)解关于x的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411641715d7f5132c34f1d6eace8cd8b.png)
(1)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10cd820103c9f8594308ad036ee9d32c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225efc3455b00eee1267112dc52e45cb.png)
(2)解关于x的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372d51ae7f3feb5c9dcc1de7245c275d.png)
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20-21高一上·江西南昌·期中
名校
9 . 已知函数
.
(1)若函数
的值域为R,求实数a的取值范围;
(2)若函数
在区间
上单调递增,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26dcfa7c0cf603877918183fd6a2012c.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35316d622731468e6d9416ccd3151d7b.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c540c5c3df20aa6ee3fb5d8dc4e8d98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ce2f5e22175e3ff8ab5e0afca58f9c.png)
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10 . 对于函数
,解答下列问题:
(1)若函数定义域为
,求实数
的取值范围;
(2)若函数的值域为
,求实数
的值;
(3)若函数在
内为增函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baf414a052eba6a20164c13370abc7e.png)
(1)若函数定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数的值域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32cf935e9d8f48d9c683ff4b814a8853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbfd40765e7c214147d889bb35368d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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