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  • [中二數學]因式分解 展開 化簡 恆等式題目

    1 展開(3x-2y+1)(x-y)

    A.3x2+2y2-5xy+x-y

    B.3x2-2y2-5xy+x-y

    C.3x2+2y2-xy+x-y

    D.3x2+2y2+xy+x-y

    2 當 p = 1 和 q = -1 時,求多項式 -p3q+3p2q2-4pq3 + 7pq+1的值

    A.0

    B.-1

    C.1

    D.2

    3 把多項式 3ma2-2m3+m2a3-a 的各項依變數m的降冪排列

    A.m2a3+3ma2-a-2m3

    B.3ma2+m2a3-a-2m3

    C.-2m3+m2a3+3ma2-a

    D.m2a3+3ma2-2m3-a

    4 把2ab+b-c-2ac分解為因式

    A.(1 + 2a)(b-c)

    B.(2a + 1)(b + c)

    C.(2a - 1)(b - c)

    D.(1 - 2a)(b + c)

    5 把x(2 - z) - y(z - 2) 分解為因式

    A.(x + y)(2 - z)

    B.(x - y)(z - 2)

    C.(x - y)(2 - z)

    D.(x + y)(z - 2)

    6 展開 (1 - 4a)(2a + 3)

    A.-8a2 - 14a + 3

    B.-8a2 - 10a + 3

    C.8a2 - 10a + 3

    D.-8a2 - 8a + 3

    7 對於多項式 l -2x2y3+3x-y2+x2y,下列哪項是正確的?

    I.多項式的次數是 3

    II.常數項是 0

    III.y2 的係數是 1

    A.只有 I

    B.只有 I 及 II

    C.只有 II

    D.只有 II 及 III

    8 化簡8m4n2÷4m2n×2mn

    A.16m2n2

    B.4m7n4

    C.6m2n

    D.4m3n2

    9 化簡30x6y3 ÷ 5x4y2

    A.25x2y

    B.6x10y5

    C.6x2y

    D.6xy

    10 化簡2a2×3a3×4a4

    A.24a24

    B.9a9

    C.20a9

    D.24a9

    11 化簡(2a+5b-1)-(4a-3b -5)

    A.8b - 2a + 4

    B.8b - 2a - 6

    C.2a + 8b + 4

    D.-2a + 8b - 6

    12 化簡(-4m+2n)-(5n-3m)+(6m-4n)

    A.-3m + n

    B.m - 7n

    C.5m - 7n

    D.-m - 7n

    13 化簡 h3k4 × (-h2k)3 ÷ [-(h2k3)2]

    A.-h4k2

    B.h4k2

    C.-h5k

    D.h5k

    15 展開 (3x + 1)(3x-1)

    A.9x2 + 1

    B.9x2 + 6x-1

    C.9x2-1

    D.3x2-1

    16 展開 (10-x)(10 + x)

    A.10-x2

    B.x2-100

    C.100-x2

    D.x2-10

    17 展開 (-p-q + 1) (-p + q + 1)

    A.1-2p + p2-q2

    B.1-2q + q2-p2

    C.-1-2q-q2 + p2

    D.1 + 2p + p2-q2

    18 展開(x + 7)(7 + x)

    A.x2-14x + 49

    B.x2 + 14x + 49

    C.x2-49

    D.x2 + 49

    19 如果Ax2-x-6 ≡ (2x + B)(x-2),求 A 及 B 的值

    A.A = 1,B = 3

    B.A = 2,B =-3

    C.A = 2,B = 3

    D.A = 1,B= -3

    20 如果Ax + B(1-x) ≡ 3x-2,求 A 的值

    A.0

    B.1

    C 3

    D.-2

    21 如果 A 與 B 的和是 37,A 與 B 的差是 10,且 A 比 B 大,求 A2-B2

    A.270

    B.370

    C.470

    D.1269

    22 下列哪條是恆等式?

    I.(a-7)(a + 1) = a2-6a-7

    II.(5b-1)2 = 25b2-10b + 1

    III.(2 + 3c)2 = 4 + 6c + 9c2

    A.I、II及III

    B.只有I及II

    C.只有II及III

    D.只有I

    23. (5-a) [10-(5 + a)] =

    A.15-a2

    B.a2-10a+25

    C.a2+10a +25

    D.a2-15

    24. (3x + 2)(2-3x)=

    A.4-9x2

    B.9x2-4

    C.4-12x-9x2

    D.9x2 + 12x-4

    25. (-n-3m)(3m + n)=

    A.-9m2-6mn-n2

    B.-9m2+6mn-n2

    C.-9m2+n2

    D.9m2-n2

    3 個解答教學8 年前
  • 中一Science

    1 When the fuel burns in a steam engine, steam is produced to drive the__, which drives the generator to generate electricity

    2 When someone speaks,he/she gives out__energy

    3 When a lamp is switched on,__energy is changed to light energy

    4 We must take safety __s to avoid accidents during the transportation of fuels

    5 We may get an__if we touch an electric socket with wet hands

    6 To boil a beaker of water,a piece of __should be placed on a tripod to support the beaker

    7 The particles in a solid cannot move freely.Each particle only __s about a fixed position

    8 The__is a device that changes kinetic energy to electrical energy

    9 The__can control the movement of substances into and out of a cell

    10 Some plants become endangered because they are__for gardening or medicinal purposes

    11Sea water can be changed to drinking water by__in a desalination plant

    12Polar bears have a thick layer of fur on their skin.They are classified as__

    13Nuclear power stations produce __waste which is hazardous to living things

    14Many plants __by producing seeds

    15Mammals produce milk from their__to feed their young

    16Lizards are classified as__ Their body __changes with the environment

    17Living things are classified according to their___ in body structures

    18Liquids have fixed__ but no fixed__

    19In living things,new cells are formed through__s

    20Ferns,pines and mosses belong to the group of__ plants

    21Chemicals in the laboratory may be corrosive,flammable,harmful or toxic.We should pay attention to the__s on their containers

    22 Building large dams for a__power station will destroy natural habitats

    23A windmill uses the __energy of wind to do work

    24A spring gains__ energy when it is stretched

    25A __shows the feeding relationship between living things

    26__means turning used material into new products

    27__are formed from remains of plants and animals that have been buried underground for millions of years.

    28__and ozone can be added to kill micro-organisms

    1 個解答語言8 年前
  • 中一Science問題

    1 When we use the Bunsen burner, we should wear to______ protect our eyes.

    2 When we build a _____ power station on a river, a dam is built to store water at a high position.

    3 When a flag is raised, the _____ energy of the flag will be increased.

    4 We can use a _____ to clean test tubes.

    5 We can see the yellow flame of a Bunsen burner easily because the flame is_______ .

    6 The solid which cannot pass through a filter is called _______ .

    7 The motor is a device that changes electrical energy to _______ energy.

    8 The habitat of camels is the ________.

    9 The _________adjusts the amount of light entering the microscope.

    10 Sunflowers grow towards light. This is an example of living things reacting to the_______ in their environment.

    11 Snakes are classified as ________s because they have dry, hard scales and breathe with _________ s

    12 Plants can remove their wastes by falling of _______.

    13 Matter is anything which has _____and takes up _______ .

    14 Marine oil spill greatly affects the natural ________ s of many fish and seabirds

    15 LPG stands for liquefied _____ .

    16 Filtration cannot remove ____impurities and s.

    17 Filtration can remove ____ impurities in water.

    18 Dolphins and whales look like a fish but they belong to the group called______ s.

    19 Coal and oil belong to ____ energy sources. Once they are used up, there is no way to produce more in a short time.

    20 Butterflies, earthworms and snails can be classified into the same group______ called s because they do not have backbones.

    21 Babies drink milk each day. The________ energy in the milk supports their growth.

    22 A moving car possesses ________ energy.

    23 ________ is the most common energy source used at home today because it is clean and convenient.

    24 _______ is a jelly-like substance in a cell for chemical reactions to take place.

    3 個解答語言8 年前
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    1.書名

    2.作者

    3.出版社

    4.頁數

    5.內容概述(180字)

    6.讀後感受(280字)

    1 個解答語言9 年前
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