人教A版(2019)必修第一冊(cè)《3.3 冪函數(shù)》2023年同步練習(xí)卷(12)
發(fā)布:2024/8/15 15:0:1
一、選擇題
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1.圖中的曲線是冪函數(shù)y=xn在第一象限的圖象,已知n可取±2,±
四個(gè)值,則對(duì)應(yīng)于曲線C1、C2、C3、C4的n依次為( ?。?/h2>12組卷:80引用:6難度:0.9 -
2.已知冪函數(shù)f(x)=xa的圖象經(jīng)過點(diǎn)(2,
),則函數(shù)f(x)為( )2組卷:1140引用:7難度:0.8 -
3.已知冪函數(shù)f(x)=(m2-2m-2)xm在(0,+∞)上單調(diào)遞減,則m=( ?。?/h2>
組卷:402引用:4難度:0.7 -
4.已知冪函數(shù)f(x)=xα的圖象過點(diǎn)
,則函數(shù)g(x)=(x-2)f(x)在區(qū)間(2,12)上的最小值是( ?。?/h2>[12,1]組卷:51引用:3難度:0.9
四、解答題
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12.已知冪函數(shù)f(x)=
(m∈N*)的圖象經(jīng)過點(diǎn)(3,x(m2+m)-1).3
(1)試求m的值并寫出該函數(shù)的解析式;
(2)若函數(shù)f(x)滿足條件f(1+a)>f(4-2a),試求實(shí)數(shù)a的取值范圍.組卷:88引用:2難度:0.7 -
13.已知冪函數(shù)f(x)=(-3m2-2m+2)x1+3m在(0,+∞)上為增函數(shù).
(1)求f(x)解析式;
(2)若函數(shù)y=f(x)-(2a+1)x+a2-1在區(qū)間(2,3)上為單調(diào)函數(shù),求實(shí)數(shù)a的取值范圍.組卷:414引用:5難度:0.7