配套习题- 一元二次方程的概念及应用（二） -【青果学院】

挑战习题

1/5单选题

难度：

1.已知：a²-a-1=0，则代数式（2a-1）²的值是（）

A	3
B	4
C	5
D	7

提示1：: IOmmluWFiOeUseW3suefpWE8c3VwPjI8L3N1cD4tYS0xPTDvvIzlj6/lvpfvvJphPHN1cD4yPC9zdXA+LWE9Me+8mw==

提示2：: IOWGjeaKiuimgeaxgueahOS7o+aVsOW8j+eUqOWujOWFqOW5s+aWueWFrOW8j+WxleW8gO+8jOWxleW8gOWQjuinguWvn+W9ouWKv++8jOWGjeWwhuS4iumdoueahGE8c3VwPjI8L3N1cD4tYT0x5Luj5YWl5Y2z5Y+vLg==

正确答案：Qw==

PGRpdj7op6PvvJriiLVhPHN1cD4yPC9zdXA+LWEtMT0w77yM4oi0YTxzdXA+Mjwvc3VwPi1hPTEg4pGg77yMPGJyPu+8iDJhLTHvvIk8c3VwPjI8L3N1cD48YnI+PTRhPHN1cD4yPC9zdXA+LTRhKzHvvIw8YnI+PTTvvIhhPHN1cD4yPC9zdXA+LWHvvIkrMe+8jDxicj49NMOXMSsx77yMPGJyPj0177yOPGJyPuaVheacrOmimOmAiUPvvI48L2Rpdj4=

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2/5单选题

难度：

2.若非零实数a、b、c满足4a-2b+c=0，则关于x的一元二次方程ax²+bx+c=0一定有一个根为（）

A	2
B	-2
C	0
D	无法确定

提示1：: 6KeC5a+f5YmN6Z2i55qE6L+Z5Liq562J5byPDQo0YS0yYitjPTDvvIzlkozkuIDlhYPkuozmrKHmlrnnqItheDxzdXA+Mjwvc3VwPitieCtjPTAu5a+55q+UYeOAgWLjgIFj55qE57O75pWw77yM5om+5Ye65YWz57O7

提示2：: IOWPkeeOsOWPquacieW9kzxpbWcgd2lkdGg9NDMgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvRUQvNkQvckJBQ0ZGTUVXUWZ5LWlfOUFBQUJhanp3Q05rMDgxLnBuZyI+5pe277yM5YmN5ZCO5Lik5Liq562J5byP5LiA5qC377yb5Lmf6K+05piO5LqGPGltZyB3aWR0aD00MyBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9FRC82RC9yQkFDRkZNRVdRZnktaV85QUFBQmFqendDTmswODEucG5nIj7mmK/mlrnnqItheDxzdXA+Mjwvc3VwPitieCtjPTDnmoTop6M=

正确答案：Qg==

PGRpdj7op6PvvJrlvZPmiop4PS0y5Luj5YWl5pa556iLYXg8c3VwPjI8L3N1cD4rYngrYz0w6IO95b6X5Ye6NGEtMmIrYz0w77yMPGJyPuWNs+aWueeoi+S4gOWumuacieS4gOS4quagueS4ung9LTLvvIw8YnI+5pWF6YCJQu+8jjwvZGl2Pg==

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3/5单选题

难度：

3.若b是方程x²+ax+b=0的一个解，且b≠0，则a+b等于（）

A	-1
B	1
C	-2
D	2

提示1：: IOaKing9YuS7o+WFpeaWueeoi+W+l+WIsGI8c3VwPjI8L3N1cD4rYWIrYj0w77yM

提示2：: IOW8j+WtkGI8c3VwPjI8L3N1cD4rYWIrYj0w55qE5bem6L656YO95pyJYizlubbkuJTlt7Lnn6XkuK3mnIli4omgMA==

提示3：: IOaJgOS7pei/meS4quetieW8j+S4pOi+ueWPr+S7peWQjOaXtumZpOS7pWLvvIzkuYvlkI7ljbPlj6/msYLlh7rnrZTmoYg=

正确答案：QQ==

PGRpdj7op6PvvJrmiop4PWLku6PlhaXmlrnnqIvlvpfvvJpiPHN1cD4yPC9zdXA+K2FiK2I9MO+8jDxicj7iiLVi4omgMO+8jDxicj7kuKTovrnpg73pmaTku6Vi5b6X77yaYithKzE9MO+8jDxicj7iiLRhK2I9LTHvvI48YnI+5pWF6YCJQe+8jjwvZGl2Pg==

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4/5单选题

难度：

4.已知m，n是方程x²-2x-1=0的两根，且（7m²-14m+a）（3n²-6n-7）=8，则a的值等于（）

A	-5
B	5
C	-9
D	9

提示1：: IOWmguaenOS9oOinieW+l+i/memBk+mimOmavueahOivne+8jOmCo+S5iOaIkeaDs+ivtOeahOaYrzrigJzlroPlubbkuI3lg4/kvaDmg7PosaHnmoTpgqPkuYjpmr7igJ3jgII=

提示2：: IOWPr+WFiOWIhuWIq+aKim3vvIxu5Luj5YWl5pa556iL5b6X5Yiw5YWz5LqObe+8jG7nmoTnrYnlvI8=

提示3：: IOWIqeeUqOaVtOS9k+aAneaDs+WIhuWIq+axguWHujdtPHN1cD4yPC9zdXA+LTE0beWSjDNuPHN1cD4yPC9zdXA+LTZu77yM5YaN5Luj5YWl5omA5rGC5Luj5pWw5byP5Y2z5Y+v5rGC6Kej77yO

正确答案：Qw==

PGRpdj7op6PvvJriiLVt77yMbuaYr+aWueeoi3g8c3VwPjI8L3N1cD4tMngtMT0w55qE5Lik5qC5PGJyPuKItG08c3VwPjI8L3N1cD4tMm09Me+8jG48c3VwPjI8L3N1cD4tMm49MTxicj7iiLQ3bTxzdXA+Mjwvc3VwPi0xNG09N++8iG08c3VwPjI8L3N1cD4tMm3vvIk9N++8jDNuPHN1cD4yPC9zdXA+LTZuPTPvvIhuPHN1cD4yPC9zdXA+LTJu77yJPTM8YnI+4oi177yIN208c3VwPjI8L3N1cD4tMTRtK2HvvInvvIgzbjxzdXA+Mjwvc3VwPi02bi0377yJPTg8YnI+4oi077yINyth77yJw5fvvIgtNO+8iT04PGJyPuKItGE9LTnvvI48YnI+5pWF6YCJQ++8jjwvZGl2Pg==

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5/5单选题

难度：

已知下面三个关于x的一元二次方程ax²+bx+c=0，bx²+cx+a=0，cx²+ax+b=0恰好有一个相同的实数根a，则a+b+c的值为（）

A	0
B	1
C	3
D	不确定

提示1：: PHA+5oqKeD1h5Luj5YWlM+S4quaWueeoi+W+l+WHumHigKJhPHN1cD4yPC9zdXA+K2JhK2M9MO+8jGJhPHN1cD4yPC9zdXA+K2NhK2E9MO+8jGNhPHN1cD4yPC9zdXA+K2HigKJhK2I9MO+8jDwvcD4=

提示2：: PHA+M+S4quaWueeoi+ebuOWKoOWNs+WPr+W+l+WHuu+8iGErYitj77yJ77yIYTxzdXA+Mjwvc3VwPithKzHvvIk9MDwvcD4=

正确答案：QQ==

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