Tài liệu ôn thi vào lớp 10 môn toán
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PHẦN MỘT: ĐẠI SỐ
§1.CÁC BÀI TOÁN VỀ PHÉP BIẾN ĐỔI ĐỒNG NHẤT CÁC BIỂU THỨC ĐẠI SỐ
A- :
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B: CÁC BÀI TOÁN:
1. 01<78=:
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§2. CÁC BÀI TOÁN VỀ PHƯƠNG TRÌNH VÀ HỆ PHƯƠNG TRÌNH
KIẾN THỨC CẦN NHỚ
1.K2L1589#BMN:
eJ(#Sr'.R#w
Y-
≠
#R(#Sr'.R#w'#I4-D#5
Y-#R(#Sr'.R#w4]'
•
Y-
≠
#R(#Sr'.R#wi'#I
•
Y-#R(#Sr'.R#wi=Q'#I
2. K2L1589BMN&' :
Xét phương trình ax
2
+ bx + c = 0 ( a
≠
0)I#*
∆
9
Y-
∆
#R(#Sr'.R##'#I(#)I
∆+−
:
∆−−
Y-
∆
#R(#Sr'.R#'#I0J(
Y-
∆
U#R(#Sr'.R#i'#I
Hệ thức Vi-ét và ứng dụng
()*%+Y-(#Sr'.R#[#
≠
#'#IX
#R3'
8##'#IMX \
:
t
O0NBAB
•
Y-#R
•
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X'#I6(#Sr'.R#[#
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9t
≥
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t#Sr'(#1('h"#0#h`'M<('#I
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≥∆
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7B&'B
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B.b cd0eb+:
1. K2L1589#:
>6:fh1(#Sr'.R#=-
!
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4
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+=
−
+
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=
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+
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AB
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≠
≠
:0B
5
3
yM0
±≠
0B
>:fh(#Sr'.R#
K?! =−−
−=+ ?!
OP
!
2. PHƯƠNG TRÌNH BẬC HAI MỘT ẨN SỐ ax
2
+ bx TUJ
>6:"#F#(#Sr'.R#
()*+,-."/01230.4 5+,*&'6
9
=+
==
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!
,
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7R1'1.C6M<#F#(#Sr'.R#.W8#5&'#I#-'
OPf;
X'#I#-'6#(#Sr'.R#:
7
:
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⇔
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=
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h#(#Sr'.R#.a##
∆
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⇔
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[D X'1.CoR
>:"#F(#Sr'.R#
!
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!
9
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Et#Sr'.R#X-i
X-i#'#I(#)I0##DM3
!=∆
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!
!!
−=
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:
=
+−
!!
7U
U
U>PFMU!UU>
⇔
9UU>
>:"#F(#Sr'.R#
!z=QX
2C#M<(#Sr'.R#'#I
2C#M<(#Sr'.R##'#I
#Fhk9
9
@
OPt#Sr'.R#.a## 9
⇔
≠
:
{
∆
!>Kt#Sr'.R#'#I
⇔
{
∆
≥
⇔
>K
≥
⇔
≥
>
K
AX-[t#Sr'.R#'#I
⇔
≥
>
K
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≥
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:
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+
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9
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>
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K
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+
+
+
+
−
⇔
⇔
>!@ K
⇔
K[DK#FhMZ-0I
−≥
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>
K
[DK#R(#Sr'.R##'#I
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9
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9
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9 9 ?
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512
+=
++
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m
:
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−=
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