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已知函数.(1)当时,讨论f(x)的单调性;(2)设g(x)=x2-2bx+4,当,若对任...
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已知函数
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMAAAAAqCAYAAADlA1TjAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAABRxJREFU
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1QKvUTeu+1YLuOxnLDO8t2V62ZTPfM/bOtbmdbeIBYYiwHuZt+XtrbDOhgTTsu2/KjgGtcBQBAA+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)
.
(1)当
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAjCAYAAAD17ghaAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAUJJREFU
WEftluERwiAMhXFl1mET5mAKlohJKC2hoEgL/LCcPc8emI+XR8ILcKiVgwBWDrUyOKs/DcBb0EqD
9TLiHABnyGf4rALgTTswD8CjwF8oEI5b6XQPPgX1wHgCuQgFMHqMO4rR5UL0MXBDme0GuBo4sgkA
Z6JMBhyVz1SrbcVdgTMAD1Zj8D0gGSbLVdVcDTp/mMIK8M7Fbgno3Di2y0vF5eUoUbHSd2jH7FCU
PF1P77SFrHOKCHelQnmrQYsmHdIh39U1vAqipPwh96Fve8BP8+gF2VKQuJ/7dvny0EJTBNkvJPi/
WWq760ALDM8hP2WnKzX8cADvnDAzeS5VYTjASamswE0HINPf2oyavXDyQ1g5UQGqL1nBmwngTKW0
/yRh52Ryvmg1aMT4e3gKjhZ/3IhU0nuGA3wT7QFYrsAb/pkYnzhuBZkAAAAASUVORK5CYII=
)
时,讨论f(x)的单调性;
(2)设g(x)=x
2-2bx+4,当
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAjCAYAAAAE5VPXAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAXFJREFU
WEftmIsNhCAMhrmVWYdNmIMpWKJHwQdgUfRqPRLJmVyMj6/l/9vGD4SlRl0IP+pSo4JHxYjBewta
abCe740y8M6gr8IxInxMtgPzwq+yk5HNm/mt0YfJPBq+Xi98X+VuV5tURteDet5zmY8NaoUzrsTL
web/dUBUgIKyae8PBb/R9y+aP8pEz9a38FngnZm31oDDll7vb5+4T1/VCvwoqEk2HqwO4AssmkuB
EHs067xqY+YeIEtlzHhBisGUQ9RV2ezdRwGfg4+VIMgkDwvPaQuM0+uulI7kEWd3yrDeatDFkJ0k
VJ47LeNTN/SYnYQvJZO0nuZuD+Ensi5nHooGgvLJA2Biz99BVAEqq7UfHuqwIRmLf65VsVZw93dY
lF+2gShTrhJ8P3yuPObGJwa/dG+utGP5ZLJk32Mm43KVYVn4ECL2FcXUAMXhgVH3wvCpe3PJ/n74
5WtZGre5wOO80+e0/7zqhX9qX4bO/Bc4kWhqfVhcygAAAABJRU5ErkJggg==
)
,若对任意x
1∈(0,2),存在x
2∈[1,2],使f(x
1)+g(x
2)≤0,求实数b的取值范围.
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(a∈R).
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